US20090028578A1 - Hybrid Optical and Electrical Fiber Optic Link Linearizer - Google Patents
Hybrid Optical and Electrical Fiber Optic Link Linearizer Download PDFInfo
- Publication number
- US20090028578A1 US20090028578A1 US12/191,631 US19163108A US2009028578A1 US 20090028578 A1 US20090028578 A1 US 20090028578A1 US 19163108 A US19163108 A US 19163108A US 2009028578 A1 US2009028578 A1 US 2009028578A1
- Authority
- US
- United States
- Prior art keywords
- optical
- signal
- distortion
- transmitter
- linearizer
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Abandoned
Links
Images
Classifications
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
- H04B10/25—Arrangements specific to fibre transmission
- H04B10/2507—Arrangements specific to fibre transmission for the reduction or elimination of distortion or dispersion
- H04B10/2513—Arrangements specific to fibre transmission for the reduction or elimination of distortion or dispersion due to chromatic dispersion
- H04B10/25137—Arrangements specific to fibre transmission for the reduction or elimination of distortion or dispersion due to chromatic dispersion using pulse shaping at the transmitter, e.g. pre-chirping or dispersion supported transmission [DST]
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
- H04B10/25—Arrangements specific to fibre transmission
- H04B10/2507—Arrangements specific to fibre transmission for the reduction or elimination of distortion or dispersion
- H04B10/2513—Arrangements specific to fibre transmission for the reduction or elimination of distortion or dispersion due to chromatic dispersion
- H04B10/25133—Arrangements specific to fibre transmission for the reduction or elimination of distortion or dispersion due to chromatic dispersion including a lumped electrical or optical dispersion compensator
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
- H04B10/50—Transmitters
- H04B10/501—Structural aspects
- H04B10/503—Laser transmitters
- H04B10/504—Laser transmitters using direct modulation
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
- H04B10/50—Transmitters
- H04B10/58—Compensation for non-linear transmitter output
Definitions
- This application relates to optical transmission of information by modulating a driving current to a semiconductor laser, and more particularly, to linearization techniques and devices for reducing distortions in optical signals from modulated semiconductor lasers in optical transmitters and fiber transmission systems.
- Optical waves can be modulated to carry and transmit information in various optical communications applications including CATV systems.
- Modulation of an optical wave may be achieved by directly modulating the driving current to a semiconductor laser such as a diode laser to produce a modulated optical output.
- RF signals for example, may be superimposed on the driving current and thus be carried by the modulated optical output from the laser.
- One approach for linearizing the microwave signals transmitted over optical fibers uses electrical pre-distortion circuits.
- the electrical drive signal to the optical transmitter is pre-distorted to substantially compensate or cancel the nonlinearities introduced by the optical modulation process. Both the second order and third order nonlinear distortion characteristics can be improved through this process. See, e.g., U.S. Pat. No. 4,992,754 to Blauvelt et al.
- Another approach uses an optical Fabry-Perot interferometric device in the optical path of the output beam of a modulated semiconductor laser to introduce optical distortions that reduce or cancel the nonlinearities in the modulated optical signal. See, e.g., U.S. Pat. No. 5,003,546 to Lidgard et al.
- This application includes a system which has an optical transmitter, and an electrical pre-distortion circuit.
- the optical transmitter is to produce an optical signal in response to a control signal that is modulated to carry information.
- the electrical pre-distortion circuit is coupled in an electrical path of the control signal prior to reception by the optical transmitter and is operable to superimpose an electrical pre-distortion signal to the control signal that reduces nonlinear distortions in the optical signal.
- the system further includes an optical device disposed in an optical path of the optical signal and is configured to produce a wavelength-dependent optical transfer profile on the optical signal to reduce residual nonlinear distortions in the optical signal and to produce a linearized optical signal.
- FIG. 1 shows one embodiment of an optical communication system to illustrate basic features of a hybrid electrical and optical linearization mechanism.
- FIGS. 2 through 10 illustrate various embodiments of the hybrid electrical and optical linearization mechanism in optical communication systems.
- FIG. 11 illustrates various exemplary optical transfer curves F( ⁇ ) that can be incorporated in an optical linearizer in accordance with the present invention
- FIG. 12 is an optical transfer curve F( ⁇ ) showing a chirped wavelength input ( ⁇ c ) interacting with the optical transfer curve F( ⁇ ) to create modulations ( ⁇ F) to induce compensation distortions that are useful for linearizing the output of an optical transmitter;
- FIG. 13A is a graph showing empirical results for suppression of second order distortions as a function of the operating point wavelength of an optical linearizer
- FIG. 13B is a graph showing a comparison between simulation results and experimental data for a specific operating condition of the present invention.
- FIG. 14 is a graph showing empirical results for suppression of third order distortions as a function of a slope determinant wavelength spacing of an optical linearizer
- This application includes linearization techniques and devices that integrate both optical linearization and electrical pre-distortion techniques.
- Such hybrid or dual linearization explores and combines advantages of the optical linearization and the electrical pre-distortion techniques to achieve enhanced linearization performance that would otherwise be difficult to achieve with either techniques alone.
- the linearization of such hybrid systems can be dynamically controlled to adjust the distortion compensation and to maintain the linearization in the optical signals in presence of various fluctuations and variations in the optical transmitters and the optical transmission paths that change the adverse nonlinear characteristics in time.
- Each embodiment uses an electrical pre-distortion circuit for superimposing pre-distortion signals on the driving current that drives or controls the optical transmitter (e.g., a laser diode).
- Various pre-distortion circuits may be used for implementing the exemplary embodiments, including the electrical pre-distortion circuits described by Huang and Saad in “Novel Third-Order Distortion Generator with Residual IM2 Suppression Capabilities,” IEEE Transactions on Microwave Theory and Techniques, Vol. 46(12), pp. 2372-2382 (December, 1998).
- one or more optical linearizers may also be placed in the optical path of the output optical signal from the optical transmitter, either at the transmitter side or the receiver side of a system.
- Such an optical linearizer is an external optical component that possesses wavelength dependent transfer characteristics. By matching the optical transmitter wavelength properties with the correct external component operating point, significant reduction or cancellation of the nonlinear microwave signal distortion may be achieved.
- a properly-designed optical linearizer may substantially reduce both second and third order nonlinearities in the output signal generated by the laser diode transmitter.
- optical linearizers may be used to form an optical linearizer.
- optical linearizers and the associated fiber systems disclosed by C. K. Sun in “Optical Linearizer for Fiber Communications,” U.S. patent application Ser. No. 09/825,631, filed Apr. 3, 2001.
- Various embodiments of optical linearizers will also be described at later sections of this application.
- FIG. 1 illustrates an optical communication system 100 of the hybrid electrical and optical linearization approach according to one embodiment.
- the optical transmitter 110 such as a current-modulated laser diode, is used to generate a laser beam 112 for optical transmission through an optical link, such as a fiber link or network.
- the laser beam 112 may be modulated in a particular manner to carry information.
- Multiplexed RF signals 140 are input to the optical transmitter 110 to modulate the laser beam 112 , e.g., by modulating the driving current in the optical transmitter 110 .
- This direct modulation of the optical transmitter 110 may cause adverse nonlinear distortions in the information-carrying signal embedded in the laser beam 112 .
- the system 100 includes an electrical pre-distortion circuit 130 to modify the RF signals 140 by introducing specific amounts of nonlinear distortions to the signals 140 to produce a composite signal 132 for modulating the optical transmitter 110 .
- the introduced nonlinear distortions may include, for example, either or both of the second-order and third-order signal distortions to negate or substantially reduce the nonlinear distortions in the laser beam 112 generated by the optical transmitter 110 .
- the optical domain laser output signal 112 has improved distortion characteristics by virtue of this electronic pre-distortion alone.
- the system 100 also incorporates an optical linearizer 120 in the optical path of the laser beam 112 to optically add desired distortions on the laser beam 112 to negate the remaining distortions that are not compensated for by the electrical pre-distortion circuit 130 .
- the laser signal 112 is directed to pass through the external optical linearizer 120 to achieve this optical compensation for signal distortions.
- the optical linearizer 120 may be implemented in various configurations, such as a fused fiber coupler with wavelength dependent transfer characteristics and other exemplary implementations described in this application. By selecting the operating point of the wavelength dependent optical component transfer curve of the optical linearizer 120 , further cancellation of the laser nonlinear distortion can be achieved.
- More than one optical linearization component may be cascaded as part of the optical linearizer 120 . Such linearization components may be configured to have different optical transfer curves so that the combined effects of such components in the linearizer 120 produce desired linearization properties in the laser signal 112 after such optical processing.
- the laser signal 112 output by the optical linearizer 120 may be directed through an optical transmission link 102 such as a distance of optical fiber.
- An optical detector 150 may be optically coupled to receive a portion of or the entirety of the transmitted laser signal 112 .
- the electrical output 152 of the optical detector includes a replica of the multiplexed RF input signals 140 whose distortion is significantly reduced by the operation of the circuit 130 and the optical linearizer 120 .
- the optimum operating conditions of the optical transmitter 110 , electrical pre-distortion circuit 130 and the optical linearizer 120 may in general be regulated by separate operation controllers 114 , 116 and 115 , respectively. In practice, such operation controls may be implemented in a more integrated and unified fashion, where two or all three controllers may be combined into a single control unit.
- Both open and closed loop linearizer operations can be used to minimize the signal distortions.
- a dynamic feedback loop is not used and each of the pre-distortion circuit 130 and the optical linearizer 120 may be adjusted to optimize the net linearization effect.
- the laser diode and optical linearizer set points in terms of temperature (wavelength) and laser bias current (optical power), and the electronic pre-distortion circuit parameters are initially adjusted and fixed to minimize distortion.
- a signal detector such as the detector 150
- a dynamic feedback loop that responds to the output of the detector may be used to control either or both of the pre-distortion circuit 130 and the optical linearizer 120 in real time.
- the electrical or the optical linearization may be carried out first.
- the electrical linearization is performed first with a composite microwave signal modulating the drive current to a laser diode in the optical transmitter 110
- the electrical pre-distortion circuit 130 may be tuned to reduce either or both of the second and third order nonlinearities introduced by modulating the laser diode. This may be achieved by applying a control signal such as a voltage or current to a nonlinear electronic circuit which generates either or both of a second-order distortion signal and a third-order distortion signal of specified amplitude and phase.
- the transmitted microwave signal itself may be monitored to perform this tuning or the adjustment on the voltage or current.
- the laser diode operating point is fixed resulting in certain second and third order distortion properties that can be minimized by proper choice of the electronic circuit parameters.
- the optical domain signal 112 with already reduced nonlinearity is then transmitted through the external optical component in the optical linearizer 120 for further reduction in the nonlinear distortions.
- the transmission operating point of the external optical component can be aligned with the operating point of the laser diode to generate a compensating second- and/or third-order signal with desired amplitude and phase. This allows for further reduction in the nonlinear transmission characteristics to be achieved.
- a typical scenario would be a third-order electronic pre-distortion circuit is used to minimize the CTB and a second-order optical linearizer used to minimize the CSO.
- the laser diode operating current and temperature or the operating point associated with the linearizing optical component might be adjusted to achieve optimal optical linearization.
- the transmitted microwave signal can be used to make the appropriate adjustments.
- the electrical circuit parameters of the pre-distortion circuit might need slight readjustment to account for minor laser diode operating point dependent distortion.
- the transmission operating point of the external optical component in the optical linearizer 120 may be aligned with the operating point of the laser diode in the transmitter 110 to reduce the nonlinear transmission characteristics.
- This operation may be achieved with the electronic pre-distortion circuit 130 turned off and using the same laser diode and optical component parameter adjustments mentioned above.
- the electrical pre-distortion circuit can then be turned on and tuned to further reduce either or both of the second and the third order nonlinearities introduced by the laser diode.
- This hybrid or dual electrical and optical linearization approach for improving the linearization of optically transmitted microwave signals may be used in such a way that the electrical linearization might improve either second or third order nonlinear distortion only, while the optical linearization optimized to improve the other distortion component.
- both the electrical and optical linearization process may be used to improve both the second and third order optical transmitter nonlinearity. Flexibility exists with this approach in allowing both the electrical and optical domain linearization to be tailored and optimized independently and on a case by case basis. This process is valuable in allowing for inferior laser diodes with respect to linearity to be substantially improved. The linearity improvements that can be obtained with this hybrid technique generally exceed the improvements of each of these techniques used separately.
- optical linearization can be done not only at the transmitter site, but at the optical detector site as well. This allows for the possibility of correcting for any fiber induced nonlinearities incurred during the long fiber transmission. In this special case as well as for some other topologies, active control to maintain minimum distortion levels might be desired.
- FIG. 2 shows an optical communication system 200 based on the hybrid linearization design, where the optical domain linearization is actively controlled by a feedback loop.
- a small portion 212 of the optical signal 112 after the optical processing by the optical linearizer 120 is tapped off by an optical beam splitter or coupler 210 and is detected by an optical detector 220 for the feedback loop.
- the electrical signal 222 generated by the detector 220 is fed into a distortion analyzer and controller 230 .
- the analyzer 230 detects distortion levels of the injected pilot tone from a pilot tone generator 340 and provides feedback to actively maintain minimum distortion levels.
- a dedicated pilot tone is shown for simplicity, in many cases the microwave signal to be transmitted can be used to analyze the nonlinear distortion levels and determine the feedback signal so that a pilot tone is not needed. As shown in FIG.
- the laser control 114 includes a bias control 114 A and a wavelength control 114 B in this implementation.
- the laser wavelength e.g., through a temperature control on the laser diode, and the bias point of the optical transmitter 110 , are controlled through this active feedback process to minimize or negate the transmitter distortion.
- the operating point of the linearizing optical component in the optical linearizer 120 is shown to be actively controlled by the analyzer 230 to provide fine adjustment to the optical linearizer 120 .
- FIG. 3 shows an optical communication system 300 where the optical linearizer is co-located with the optical detector 150 at the signal receiving end and the control feedback is provided through an optical link 330 back to the optical transmitter 110 on the signal transmitting side.
- the optical detector 150 processes the received signal to extract the multiplexed RF signals 160 as output and generate another output signal 154 .
- One or more distortion filters 310 are used to receive and process the output signal 154 to produce an electronic signal 312 containing information on the signal distortions in the received signal by the optical detector 150 .
- a feedback optical transmitter 320 which may include a laser diode, produces a feedback laser signal 322 that is modulated to include the distortion information in response to a laser control signal based on the signal 312 .
- the feedback laser signal 322 is received by the optical detector 220 .
- the distortion analyzer 230 receives the output from the detector 220 and causes the optical transmitter 110 to be controlled to reduce the distortions received by the optical detector 150 .
- the laser diode in the optical transmitter 110 may be principally adjusted through bias current and the diode temperature to achieve distortion suppression.
- FIG. 4 shows another embodiment 400 where the optical linearizer 120 is co-located with the optical detector 150 on the receiving end, where the feedback control is principally provided to the optical linearizer 120 where its operating parameters are altered to minimize the link distortion.
- the laser diode operating conditions are fixed and distortion suppression is principally achieved through feedback control to the optical component in the optical linearizer 120 .
- the active feedback from a distortion analyzer may be applied to each of the electrical pre-distortion circuit 130 and the optical linearizer 120 to maintain minimum transmission distortion conditions.
- FIG. 5 shows one embodiment of a system 500 where two separate feedback loops are applied to control the electrical pre-distortion circuit 130 and the optical linearizer 120 .
- the optical linearizer 120 is located on the receiving end with the optical detector 150 .
- a separate distortion analyzer and controller 510 is coupled to the optical detector 150 to provide a feedback control to the control 115 of the optical linearizer 120 .
- the distortion analyzer and controller 230 is shown to control the operation of electronic pre-distortion circuit 130 based on the signal distortions in the signal prior to transmission through the link 102 .
- the optical tap for monitoring the harmonic content of the applied pilot tone can be placed before the optical linearizer.
- the feedback signal reflects only electrical domain linearization characteristics.
- a separate feedback path can be applied after the optical linearizer to optimize the optical domain linearization process.
- the active feedback is used for both the electrical and optical domain linearization.
- the independence of the two linearization mechanisms is shown as examples and flexibility in its implementation and should allow for higher performance microwave optical transmission systems to be realized.
- the above hybrid linearization techniques may also be used in systems where an optical modulator is used to modulate the beam to imprint information on the modulated beam.
- the pre-distortion circuit is used to control the modulator and the optical linearizer is in the optical path of the modulated beam.
- FIGS. 6-10 show additional exemplary implementations and embodiments of hybrid linearization systems that combine both electrical pre-distortion linearization and optical linearization.
- the electrical pre-distortion circuit may be used to partially correct either one or both of the second- and third-order laser induced distortions; accordingly, the optical linearizer may be used to improve upon this partial correction.
- the electrical pre-distorter may be used to fully correct the second- (third-) order laser distortion while the optical linearizer is complimentary used to fully correct for the third- (second-) order distortion. Examples of these two cases are experimentally demonstrated below.
- One fiber optic link may include an electrical pre-distorter to correct for the laser diode induced third-order distortion while the optical linearizer is independently used to correct for the laser induced second-order distortion.
- the fiber optic link may include an electrical pre-distorter which partially corrects for the laser second-order laser distortion and the optical linearizer can operate to improve upon this partial distortion suppression.
- FIG. 6 shows a hybrid system 600 with electrical compensation for third-order laser distortion by using a pre-distortion circuit 610 and optical compensation for second-order laser distortion by using a second-order optical linearizer 620 .
- This arrangement is a more specific arrangement as that shown in FIG. 1 .
- Any suitable third-order electrical pre-distorter may be used in this embodiment, such as a circuit similar to that described by Huang and Saad in “Novel Third-Order Distortion Generator with Residual IM2 Suppression Capabilities,” IEEE Transactions on Microwave Theory and Techniques, Vol. 46(12), pp. 2372-2382 (December, 1998).
- the second-order optical linearizer 620 may include a wavelength dependent fused fiber coupler that has been tailored for operation around 1310 nm, similar to that described by C. K. Sun in “Optical Linearizer for Fiber Communications,” U.S. patent application Ser. No. 09/825,631, filed Apr. 3, 2001.
- a CATV grade starting laser diode at 1310 nm may be used as the optical transmitter 110 which is biased at high DC current and RF modulated by a composite 78 channel NTSC CATV signal.
- the modulated optical signal was transmitted through 20 km of standard single-mode fiber, detected by a high linearity optical receiver, and analyzed using a CATV signal analyzer.
- the Carrier-to-Noise Ratio (CNR), the Composite Second Order (CSO) and Composite Triple Beat (CTB) distortion are measured yielding the link linearity performance.
- performance levels are measured with 0 dBm received optical power.
- Table 1 shows the link performance with no electrical or optical linearization, displaying poor CSO and CTB performance (CSO and CTB values lower than ⁇ 65 dBc at high CNR (>52 dB) are typically required for CATV signal distribution applications).
- Table 2 shows the link performance with combined electrical third-order compensation and optical second order compensation. Simple open loop control and adjustment of the electrical pre-distortion circuit, the optical linearizer and the optical transmitter have been used for this measurement. The details of open and closed loop operation for distortion minimization are discussed below. Significant improvement in the laser distortion properties are obtained using this hybrid linearization approach, approximately 10 dB third-order improvement and >20 dB second-order improvement, displaying the utility of this combined approach.
- FIG. 7 shows the link arrangement 700 for electrically and optically compensating for second-order laser distortion.
- a second-order electrical pre-distortion circuit 710 is used for the optical transmitter 110 .
- complimentary third-order correction is not shown.
- This arrangement is useful for cases where either optical or electrical compensation alone is not sufficient, and combined operation results in improved linearity.
- Most of the same fiber optic link and linearizer components and conditions as that described above have been used. The major difference is that an electrical second-order pre-distortion circuit 710 has been employed.
- This system 700 has an open loop linearization scheme which includes the electrical pre-distortion circuit 710 , the optical linearizer 620 , and the optical transmitter 110 .
- Table 3 shows the CNR and CSO link performance with no electrical or optical linearization displaying poor second-order distortion performance. Also included in Table 3 is the link performance with electrical, optical and combined electrical/optical second-order compensation. Significant improvement (>3 dB) in the link linearity performance is obtained using this combined hybrid linearization approach, displaying its utility overcoming transmitter distortion related limitations.
- FIG. 8 shows a system embodiment where the electrical and optical domain linearization are actively controlled.
- a small portion of the optical signal is tapped off at the optical coupler 210 within or after the optical linearizer 120 and is detected by the detector 220 .
- the resulting electrical signal is fed into a distortion analyzer and controller 230 .
- the analyzer 230 in this and other implementations, may include a microcontroller in its simplest form, to a more complex microcontroller with integrated RF filter and power meter.
- the analyzer 230 either directly or indirectly detects distortion levels by monitoring the optical power or electrical RF power level of the injected composite RF signal 140 providing feedback to actively maintain minimum distortion levels.
- the laser wavelength, through temperature control 114 B for the laser diode, for example, and the bias point of the optical transmitter 110 , through temperature control 820 for the linearizer 120 , for example, can be controlled through this active feedback process to minimize the transmitter distortions.
- the operating point of the electrical pre-distortion circuit 130 can be actively controlled through its voltage or current controller 810 which is coupled between the devices 230 and 130 . Using this approach, active monitoring can be applied to either or both optical domain linearization or electrical domain linearization. In practice, closed loop operation for the optical linearization and open loop operation for the electrical linearization is preferred.
- FIG. 9 shows an embodiment 900 where the optical linearizer 120 is co-located with the optical detector 150 .
- the feedback is provided through the distortion analyzer 230 and temperature controller 820 to the optical linearizer 120 where its operating parameters are altered to minimize the link distortion.
- the operating conditions of the laser diode in the transmitter 110 and the electronic pre-distortion circuit 130 are fixed (open loop operation) and distortion suppression is principally achieved through feedback control (closed loop operation) to the optical linearizer 120 .
- FIG. 10 further shows that a system 1000 alternative to the embodiment shown in FIG. 5 , where closed-loop active feedback mechanisms for both electrical and optical linearization can be achieved by placing the optical linearizer 120 at the remote optical detector 150 .
- the electrical feedback control loop for the pre-distortion circuit 130 does not use the pilot tone generator as in FIG. 5 .
- the control 820 for the optical linearizer 120 is a temperature control device to change the temperature of the optical element inside of the linearizer 120 .
- the front-end feedback signal reflects only transmitter linearization characteristics while the receiver based analyzer and controller 430 reflects overall link distortion properties.
- a communications apparatus for linearizing the output of an optical transmitter such as a DFB laser diode
- an optical device such as a fused fiber WDM coupler
- the optical device is connected to receive the output of the optical transmitter. It happens that the output from the optical transmitter will include a modulated signal, as well as second and third order distortions (hereinafter sometimes collectively referred to as a “transmitter distortion”).
- the transmitter output also includes a characteristic wavelength “chirping”.
- this “chirping,” together with the desired transmitter output, is used as an input by the optical device, to optically generate nonlinear distortion signals (hereinafter sometimes collectively referred to as “compensation distortions”) that will compensate the transmitter distortion.
- compensation distortions can be added to the output of the optical transmitter to cancel the transmitter distortions (second and/or third order distortions) in the output.
- the modulated signal that is transmitted by the transmitter will have a center emission wavelength ( ⁇ c ) and a characteristic wavelength chirping (d ⁇ c ).
- the optical device e.g. coupler
- the optical transfer curve F( ⁇ ) is fabricated to accommodate the operating condition of the optical transmitter.
- the optical transfer curve F( ⁇ ) of the optical device is designed to have a reference wavelength ( ⁇ p ), a slope determinant wavelength spacing ( ⁇ w ), and an operating point wavelength offset ( ⁇ b ) that are all based on the known operating conditions of the transmitter.
- the optical device and the optical transmitter can be individually or collectively wavelength (e.g. temperature) tuned.
- an operating temperature for the optical transmitter can be established which will align ( ⁇ c ) of the transmitter with ( ⁇ p + ⁇ b ) of the optical device.
- an operating point can be established on the optical transfer curve F( ⁇ ) that will interact with the wavelength chirping (d ⁇ c ) from the transmitter in a specified manner.
- the purpose here is to use F( ⁇ ) to optically induce a compensation distortion from the wavelength chirping (d ⁇ c ) that will substantially compensate the transmitter distortions (second and/or third order distortions) that are introduced by the transmitter.
- the compensation distortions have been induced by the optical device (e.g. coupler)
- linearization of the optical transmitter e.g. laser diode
- the compensation distortion is added to the output of the optical transmitter to cancel the transmitter distortion from the modulated signal in the output.
- FIG. 11 shows that an optical linearizer 16 may include two or more optical linearizing elements in series with different optical transmission characteristics.
- communications data is generated by a signal source 140 and is used to modulate the optical transmitter 110 .
- the communications data from signal source 140 may be in a digital, an analog, or a mixed format.
- the modulated signal of the output of optical transmitter 110 is then fed into the optical linearizer 120 .
- the optical transmitter 110 may include a laser diode such as a DFB laser diode. It is to be appreciated, however, that the optical transmitter 110 may be a direct modulated laser diode, an electro-absorption modulator, or a Mach-Zehnder modulator.
- the output of the optical transmitter 110 at ⁇ c may have an analog modulation format that is sinusoidal in nature. It is also important to recognize that, in all cases, the output of the optical transmitter 110 will include more than just the modulated signal to be transmitted. Specifically, in addition to the modulated signal, the output of optical transmitter 110 generally includes optical distortions (second and/or third order) and it can have a “chirping” (d ⁇ c ) that is characteristic of the optical transmitter 110 .
- the laser control 114 may include a bias control 114 A which can be used to influence the content of the output from the optical transmitter 110 (e.g. minimizing the third order distortions).
- the laser control 114 may also include a wavelength control 114 B to establish or tune the center emission wavelength ( ⁇ c ).
- the wavelength control 114 B can be tuned in several ways, such as by temperature tuning, voltage tuning, current tuning or mechanical tuning.
- the optical linearizer 120 may be a fused fiber WDM coupler, or, alternatively, be any optical device with a wavelength dependent transfer function.
- a device may include wavelength dependent absorptive (or gain) materials, electro-absorption semiconductor waveguides, fiber Bragg-gratings, wavelength dependent coupling interleavers, Mach-Zehnder waveguide modulators, acoustic-optical tunable filters, tapered fiber filters, thin film filters or arrayed waveguide grating (AWG) filters. These types of devices may be used either individually or in combination with each other to form the linearizer 120 .
- the optical linearizer 120 may be designed and fabricated to have a specific optical transfer curve F( ⁇ ). Because the optical linearizer 120 is a wavelength dependent device, it can be tuned by the operation control 115 .
- FIG. 11 also shows various types of exemplary optical transfer curves that can be fabricated for the optical linearizer 120 .
- the optical linearizers 16 a , 16 b and 16 c are shown with respective optical transfer curves F 1 ( ⁇ ), F 2 ( ⁇ ) and F 3 ( ⁇ ) that may be controlled (tuned) by respective operation controls 30 a , 30 b and 30 c .
- the optical linearizers 16 a , 16 b and 16 c are only exemplary, and that they may be used either individually or collectively depending on the specific requirements of the application. Further, these linearizers 16 a , 16 b and 16 c may all operate substantially in the same way.
- the functionality of the linearizers 16 a , 16 b and 16 c , and their interaction with the optical transmitter 12 will, perhaps, be best appreciated with reference to FIG. 12 .
- FIG. 12 shows an optical transfer curve F( ⁇ ) that is typical of one that can be fabricated for a fused fiber WDM coupler type optical linearizer 120 .
- the optical transfer curve F( ⁇ ) is characterized by a reference wavelength ( ⁇ p ) and a slope determinant wavelength spacing ( ⁇ w ).
- FIG. 12 shows a typical operating point 32 for the optical linearizer 120 that is identified by the wavelength offset ⁇ b .
- the slope of the transfer curve changes as the operating point 32 is changed. This, of course, need not always be so (e.g. linearizer 16 b in FIG. 11 ). Nevertheless, for the optical transfer curve F( ⁇ ) shown in FIG.
- both the reference wavelength ( ⁇ p ), and a slope determinant wavelength spacing ( ⁇ w ), can be fabricated for the optical transfer curve F( ⁇ ).
- the coupler operating point offset ( ⁇ b ) can then be established (tuned) on optical transfer curve F( ⁇ ) by the operation controller 30 . Preferably, this is done by temperature tuning.
- FIGS. 13A and 14 respectively show graphs 34 , 36 that present empirical data for the suppression of optical distortions in a system 10 . Further, FIG. 13B shows a comparison 34 ′ between an empirical simulation and experimental data obtained for a suppression of optical distortions similar to those shown for the graph 34 of FIG. 13A .
- these graphs 34 , 36 indicate there is an identifiable operating point wavelength offset ( ⁇ b ), and an identifiable slope determinant wavelength spacing ( ⁇ w ) for each optical linearizer 110 that can induce a modulation (dF) which effectively suppresses transmitter distortions (second and/or third order).
- wavelength dependency of an optical linearizer 16 can be represented by a normalized optical transfer curve F( ⁇ ).
- this transfer curve F( ⁇ ) can be expressed in Taylor series around the center emission wavelength ⁇ c of the transmitter:
- F ⁇ ( ⁇ ) F 0 ⁇ ( ⁇ c ) + F 1 ⁇ ( ⁇ - ⁇ c ) + F 2 ⁇ ( ⁇ - ⁇ c ) 2 / 2 + F 3 ⁇ ( ⁇ - ⁇ c ) 3 / 6 + ... + F n ⁇ ( ⁇ c ) ⁇ ( ⁇ - ⁇ c ) n / n ! + ... ( Eq . ⁇ 1 )
- the modulated wavelength ⁇ (t) i.e. modulated signal output
- the transmitter chirping d ⁇ c creates a modulated linearizer output (dF) shown in FIG. 3 .
- the output of the optical linearizer 120 can be expressed as:
- P out is the output of the optical linearizer 120
- P TR is the output of the transmitter
- ⁇ is the optical insertion loss of the optical linearizer 120 .
- the transmitter chirping d ⁇ c under single tone modulation can be expressed as:
- Equation (1) the modulated linearizer output from P( ⁇ ) due to laser chirping as:
- P out ( t , ⁇ ) P TR ( t ) ⁇ F 0 ( ⁇ c )+ F 1 ⁇ ( ⁇ m ⁇ sin( ⁇ t ))+ F 2 ⁇ ( ⁇ m ⁇ sin( ⁇ t )) 2 /2 +F 3 ⁇ ( ⁇ m ⁇ sin( ⁇ t )) 3 /6+ . . . ⁇ (Eq. 4)
- the output P TR can be modeled from the laser diode's nonlinear L-I curve, using a Taylor expansion as:
- P TR ⁇ ( t ) P LD ⁇ ( I b ) + h ⁇ ⁇ 1 ⁇ ( i b ⁇ sin ⁇ ( ⁇ ⁇ t ) ) + h ⁇ ⁇ 2 ⁇ ( i b ⁇ sin ⁇ ( ⁇ ⁇ t ) ) 2 / 2 + h ⁇ ⁇ 3 ⁇ ( i b ⁇ sin ⁇ ( ⁇ ⁇ t ) ) 3 / 6 + ... ⁇ . ( Eq . ⁇ 6 )
- the second order distortion terms in Equation (6) primarily consist of a combination of the second order distortion P out,2nd,LD originated from the laser diode transmitter, second order distortion P out,2nd,LD ⁇ linearizer due to the mixing of the first order laser output with the first order chirping-modulated linearizer output, and the second order chirping-modulated linearizer output P out,2nd,linearizer .
- the second order distortion P out,2nd,LD can be suppressed or compensated primarily by P out,2nd,LD linearizer and P out,2nd,linearizer .
- the third order distortion can be suppressed by proper ⁇ c and F( ⁇ ).
- ⁇ w is the fused fiber WDM coupler slope determinant wavelength spacing (i.e. the WDM coupler channel spacing)
- d ⁇ c is the wavelength chirping of the optical transmitter 12
- ⁇ b is the coupler operating point offset.
- ⁇ b ⁇ c ⁇ p
- ⁇ p is the reference wavelength of the coupler.
- compensation distortion suppressions with a fused fiber WDM coupler can be examined using laser diode parameters where h1 ⁇ 0.36 mW/mA, h2 ⁇ 1.5 ⁇ 10 ⁇ 4 mW/mA 2 , and h3 ⁇ 4 ⁇ 10 ⁇ 6 mW/mA 3 .
- FIGS. 13A and 13B show the second order suppression as a function of ⁇ b . According to FIGS. 13A and 13B , a compensation suppression of more than 20 dB can be achieved when ⁇ b various from 0.6 to 0.7 nm.
- FIG. 14 shows the third order suppression as a function of ⁇ w . According to FIG. 14 , a compensation suppression more than 20 dB can be achieved when ⁇ w varies from 0.45 to 0.49 nm. It is also possible that with a single optical linearizer 120 , we can simultaneously suppress both second and third order distortions.
- the optical linearizer 120 is a fused fiber WDM coupler
- ⁇ c needs to be aligned to ⁇ p + ⁇ b with certain degree of accuracy to achieve good compensation distortion suppression.
- ⁇ w the optical transmitter 110
- ⁇ b the optical transmitter 110
- the small offset between ⁇ c and ⁇ p + ⁇ b can then be minimized by temperature tuning the laser diode (optical transmitter 110 ) and/or the fused fiber WDM coupler (optical linearizer 120 ).
- the optical linearizer is a fused fiber WDM coupler
- the temperature sensitivity of the coupler (optical linearizer 120 ) may be around 0.01 nm/° C.
- the sensitivity of the DFB laser diode (optical transmitter 110 ) may be around 0.1 nm/° C.
- the stability of a good laser diode temperature controller can be better than 0.1° C., which corresponds to wavelength stability on the order between 0.01 to 0.001 nm.
- fused fiber optical linearizer suitable for the above and other applications.
- both fused and tapered optical fibers may be used.
- the fused fiber filter may be fabricated by first stripping the buffer material from two optical fibers over a small distance (typically less than 20 mm). These fibers are cleaned and placed side by side in a clamping mechanism attached to a multi-axis motion control stage. Next, the stripped regions of the two fibers are brought into contact. This may be done either by manually pushing the fibers together or by twisting the fibers around each other.
- a heat source such as a gas flame micro-torch
- This heat source may be allowed to move during fabrication to change the size of the heated region, as well as change in intensity to increase or lower the temperature of the fiber during various stages of the process.
- the clamps holding the optical fibers may be subsequently set in motion in such a manner as to begin stretching the fibers to form a taper in the heated region.
- the rate of this tapering may be constant, or it may change to allow precise control over the taper profile. It is typical to pull at a high rate initially to allow for short fabrication times, and then slow near the end of the process to allow better control of the final stopping point.
- substantially unpolarized light is input into one of two fibers that are fused together and tapered, and the output power of each fiber is monitored as the coupler is elongated.
- the injection of either unpolarized light or light that has roughly equal amounts of power polarized in both the principal axes of the fused fibers is beneficial, in that it allows one to view the effects of form birefringence (the polarization effects caused by the non-circular cross-section of the fused region) on the coupling properties.
- form birefringence the polarization effects caused by the non-circular cross-section of the fused region
- the fused fibers may operate as a wavelength filter, which ends up having a sinusoidally varying transfer curve as a function of wavelength. This sinusoidal wavelength dependence will have an increasing frequency, and thus a steeper maximum slope, as the device is pulled through longer lengths.
- a polarization insensitive fused fiber filter can be created by monitoring the polarization envelope and halting the tapering when the coupling is observed to be at a maximum in the polarization envelope. The required slope of the filter can be determined by selecting which envelope maximum (eg first, fifth, tenth, etc.) at which the process is stopped.
- the fabrication parameters can be varied to allow for slightly different filter characteristics within a given envelope.
- the device may be tuned by slight changes in the tensioning of the fused fibers. This is most reliably accomplished by inserting a broadband light source into the input fiber and connecting one of the output fibers to an optical spectrum analyzer to monitor the wavelength response. The device is then tuned to properly align the peak channel wavelength with the polarization envelope. Proper alignment may include shifting the peak response of the filter to occur at a position different from the polarization envelope maximum in order for the expected operating wavelength (which typically will not be at the filter's peak wavelength) to be aligned as closely as possibly with the polarization envelope maximum, ensuring a high degree of polarization insensitivity.
- the device is then packaged by mounting the filter to a glass substrate (typically using epoxy). Once the coupler has been bonded to the supporting substrate, the substrate is then placed inside a steel tube, and the ends of the tube are sealed.
- Table 4 shows an example of such a fused fiber linearizer produced with the above fabrication techniques.
Abstract
Description
- This application claims the benefit of U.S. Provisional Application No. 60/344,419 filed Oct. 26, 2001, the entire disclosure of which is incorporated herein by reference.
- This application relates to optical transmission of information by modulating a driving current to a semiconductor laser, and more particularly, to linearization techniques and devices for reducing distortions in optical signals from modulated semiconductor lasers in optical transmitters and fiber transmission systems.
- Optical waves can be modulated to carry and transmit information in various optical communications applications including CATV systems. Modulation of an optical wave may be achieved by directly modulating the driving current to a semiconductor laser such as a diode laser to produce a modulated optical output. RF signals, for example, may be superimposed on the driving current and thus be carried by the modulated optical output from the laser.
- Such direct modulation of semiconductor lasers, however, is known to generate nonlinear characteristics in the modulated optical signals. The nonlinear characteristics can distort the information-carrying signals and hence are undesirable. This need for high linearity in microwave optical transmission systems is well recognized. The inherent linearity of most commercial laser diodes and integrated optical modulators is insufficient for the most demanding analog transmission applications, such as CATV signal distribution. In these cases, additional fiber optic link linearization techniques must be employed to suppress nonlinear distortion introduced principally by the optical transmitter.
- One approach for linearizing the microwave signals transmitted over optical fibers uses electrical pre-distortion circuits. The electrical drive signal to the optical transmitter is pre-distorted to substantially compensate or cancel the nonlinearities introduced by the optical modulation process. Both the second order and third order nonlinear distortion characteristics can be improved through this process. See, e.g., U.S. Pat. No. 4,992,754 to Blauvelt et al.
- Another approach uses an optical Fabry-Perot interferometric device in the optical path of the output beam of a modulated semiconductor laser to introduce optical distortions that reduce or cancel the nonlinearities in the modulated optical signal. See, e.g., U.S. Pat. No. 5,003,546 to Lidgard et al.
- This application includes a system which has an optical transmitter, and an electrical pre-distortion circuit. The optical transmitter is to produce an optical signal in response to a control signal that is modulated to carry information. The electrical pre-distortion circuit is coupled in an electrical path of the control signal prior to reception by the optical transmitter and is operable to superimpose an electrical pre-distortion signal to the control signal that reduces nonlinear distortions in the optical signal. The system further includes an optical device disposed in an optical path of the optical signal and is configured to produce a wavelength-dependent optical transfer profile on the optical signal to reduce residual nonlinear distortions in the optical signal and to produce a linearized optical signal.
-
FIG. 1 shows one embodiment of an optical communication system to illustrate basic features of a hybrid electrical and optical linearization mechanism. -
FIGS. 2 through 10 illustrate various embodiments of the hybrid electrical and optical linearization mechanism in optical communication systems. -
FIG. 11 illustrates various exemplary optical transfer curves F(λ) that can be incorporated in an optical linearizer in accordance with the present invention; -
FIG. 12 is an optical transfer curve F(λ) showing a chirped wavelength input (δλc) interacting with the optical transfer curve F(λ) to create modulations (δF) to induce compensation distortions that are useful for linearizing the output of an optical transmitter; -
FIG. 13A is a graph showing empirical results for suppression of second order distortions as a function of the operating point wavelength of an optical linearizer; -
FIG. 13B is a graph showing a comparison between simulation results and experimental data for a specific operating condition of the present invention; -
FIG. 14 is a graph showing empirical results for suppression of third order distortions as a function of a slope determinant wavelength spacing of an optical linearizer; - This application includes linearization techniques and devices that integrate both optical linearization and electrical pre-distortion techniques. Such hybrid or dual linearization explores and combines advantages of the optical linearization and the electrical pre-distortion techniques to achieve enhanced linearization performance that would otherwise be difficult to achieve with either techniques alone. Notably, the linearization of such hybrid systems can be dynamically controlled to adjust the distortion compensation and to maintain the linearization in the optical signals in presence of various fluctuations and variations in the optical transmitters and the optical transmission paths that change the adverse nonlinear characteristics in time.
- Various exemplary embodiments of the hybrid linearization systems are described and illustrated in this application. Each embodiment uses an electrical pre-distortion circuit for superimposing pre-distortion signals on the driving current that drives or controls the optical transmitter (e.g., a laser diode). Various pre-distortion circuits may be used for implementing the exemplary embodiments, including the electrical pre-distortion circuits described by Huang and Saad in “Novel Third-Order Distortion Generator with Residual IM2 Suppression Capabilities,” IEEE Transactions on Microwave Theory and Techniques, Vol. 46(12), pp. 2372-2382 (December, 1998).
- In addition to a pre-distortion circuit, one or more optical linearizers may also be placed in the optical path of the output optical signal from the optical transmitter, either at the transmitter side or the receiver side of a system. Such an optical linearizer is an external optical component that possesses wavelength dependent transfer characteristics. By matching the optical transmitter wavelength properties with the correct external component operating point, significant reduction or cancellation of the nonlinear microwave signal distortion may be achieved. When operated alone, a properly-designed optical linearizer may substantially reduce both second and third order nonlinearities in the output signal generated by the laser diode transmitter.
- In general, various optical devices may be used to form an optical linearizer. Examples include optical linearizers and the associated fiber systems disclosed by C. K. Sun in “Optical Linearizer for Fiber Communications,” U.S. patent application Ser. No. 09/825,631, filed Apr. 3, 2001. Various embodiments of optical linearizers will also be described at later sections of this application.
-
FIG. 1 illustrates anoptical communication system 100 of the hybrid electrical and optical linearization approach according to one embodiment. Theoptical transmitter 110, such as a current-modulated laser diode, is used to generate alaser beam 112 for optical transmission through an optical link, such as a fiber link or network. Thelaser beam 112 may be modulated in a particular manner to carry information. MultiplexedRF signals 140 are input to theoptical transmitter 110 to modulate thelaser beam 112, e.g., by modulating the driving current in theoptical transmitter 110. This direct modulation of theoptical transmitter 110 may cause adverse nonlinear distortions in the information-carrying signal embedded in thelaser beam 112. Thesystem 100 includes an electricalpre-distortion circuit 130 to modify theRF signals 140 by introducing specific amounts of nonlinear distortions to thesignals 140 to produce acomposite signal 132 for modulating theoptical transmitter 110. The introduced nonlinear distortions may include, for example, either or both of the second-order and third-order signal distortions to negate or substantially reduce the nonlinear distortions in thelaser beam 112 generated by theoptical transmitter 110. The optical domainlaser output signal 112 has improved distortion characteristics by virtue of this electronic pre-distortion alone. - Notably, the
system 100 also incorporates anoptical linearizer 120 in the optical path of thelaser beam 112 to optically add desired distortions on thelaser beam 112 to negate the remaining distortions that are not compensated for by theelectrical pre-distortion circuit 130. Thelaser signal 112 is directed to pass through the externaloptical linearizer 120 to achieve this optical compensation for signal distortions. Theoptical linearizer 120 may be implemented in various configurations, such as a fused fiber coupler with wavelength dependent transfer characteristics and other exemplary implementations described in this application. By selecting the operating point of the wavelength dependent optical component transfer curve of theoptical linearizer 120, further cancellation of the laser nonlinear distortion can be achieved. More than one optical linearization component may be cascaded as part of theoptical linearizer 120. Such linearization components may be configured to have different optical transfer curves so that the combined effects of such components in thelinearizer 120 produce desired linearization properties in thelaser signal 112 after such optical processing. - As illustrated in
FIG. 1 , thelaser signal 112 output by theoptical linearizer 120 may be directed through anoptical transmission link 102 such as a distance of optical fiber. Anoptical detector 150 may be optically coupled to receive a portion of or the entirety of the transmittedlaser signal 112. Theelectrical output 152 of the optical detector includes a replica of the multiplexed RF input signals 140 whose distortion is significantly reduced by the operation of thecircuit 130 and theoptical linearizer 120. The optimum operating conditions of theoptical transmitter 110,electrical pre-distortion circuit 130 and theoptical linearizer 120 may in general be regulated byseparate operation controllers - Both open and closed loop linearizer operations can be used to minimize the signal distortions. In the open loop linearizer operation, a dynamic feedback loop is not used and each of the
pre-distortion circuit 130 and theoptical linearizer 120 may be adjusted to optimize the net linearization effect. For example, the laser diode and optical linearizer set points in terms of temperature (wavelength) and laser bias current (optical power), and the electronic pre-distortion circuit parameters are initially adjusted and fixed to minimize distortion. In the close loop linearizer operation, a signal detector, such as thedetector 150, and a dynamic feedback loop that responds to the output of the detector, may be used to control either or both of thepre-distortion circuit 130 and theoptical linearizer 120 in real time. - The sequence of optimizing the electronic pre-distortion and optical linearization processes can be important in certain applications. In general, either the electrical or the optical linearization may be carried out first. When the electrical linearization is performed first with a composite microwave signal modulating the drive current to a laser diode in the
optical transmitter 110, theelectrical pre-distortion circuit 130 may be tuned to reduce either or both of the second and third order nonlinearities introduced by modulating the laser diode. This may be achieved by applying a control signal such as a voltage or current to a nonlinear electronic circuit which generates either or both of a second-order distortion signal and a third-order distortion signal of specified amplitude and phase. The transmitted microwave signal itself may be monitored to perform this tuning or the adjustment on the voltage or current. In this case, the laser diode operating point is fixed resulting in certain second and third order distortion properties that can be minimized by proper choice of the electronic circuit parameters. Theoptical domain signal 112 with already reduced nonlinearity is then transmitted through the external optical component in theoptical linearizer 120 for further reduction in the nonlinear distortions. The transmission operating point of the external optical component can be aligned with the operating point of the laser diode to generate a compensating second- and/or third-order signal with desired amplitude and phase. This allows for further reduction in the nonlinear transmission characteristics to be achieved. A typical scenario would be a third-order electronic pre-distortion circuit is used to minimize the CTB and a second-order optical linearizer used to minimize the CSO. In practice, the laser diode operating current and temperature or the operating point associated with the linearizing optical component might be adjusted to achieve optimal optical linearization. In open loop operation, the transmitted microwave signal can be used to make the appropriate adjustments. Once optimal optical linearization has been achieved, the electrical circuit parameters of the pre-distortion circuit might need slight readjustment to account for minor laser diode operating point dependent distortion. - When the optical linearization is carried out first in an open loop system, the transmission operating point of the external optical component in the
optical linearizer 120 may be aligned with the operating point of the laser diode in thetransmitter 110 to reduce the nonlinear transmission characteristics. This operation may be achieved with theelectronic pre-distortion circuit 130 turned off and using the same laser diode and optical component parameter adjustments mentioned above. The electrical pre-distortion circuit can then be turned on and tuned to further reduce either or both of the second and the third order nonlinearities introduced by the laser diode. Understanding that the optical linearization process is in general, a more broadband linearization approach, there are advantages to performing optical linearization adjustments first. However, this is not required in each hybrid linearization system. In general, the combination and implementation of these two linearization approaches are compatible and highly independent. - This hybrid or dual electrical and optical linearization approach for improving the linearization of optically transmitted microwave signals may be used in such a way that the electrical linearization might improve either second or third order nonlinear distortion only, while the optical linearization optimized to improve the other distortion component. In another configuration under this approach, both the electrical and optical linearization process may be used to improve both the second and third order optical transmitter nonlinearity. Flexibility exists with this approach in allowing both the electrical and optical domain linearization to be tailored and optimized independently and on a case by case basis. This process is valuable in allowing for inferior laser diodes with respect to linearity to be substantially improved. The linearity improvements that can be obtained with this hybrid technique generally exceed the improvements of each of these techniques used separately. One virtue of this hybrid technique is that the optical linearization can be done not only at the transmitter site, but at the optical detector site as well. This allows for the possibility of correcting for any fiber induced nonlinearities incurred during the long fiber transmission. In this special case as well as for some other topologies, active control to maintain minimum distortion levels might be desired.
- An open loop implementation of the hybrid linearization system may not be sufficient in certain application where the distortions may vary over time. Hence, a closed loop operation control of the dual linearization might be desirable to correct such variations in the distortions in real time. The active control and minimization of the nonlinear distortion using this combination approach can be achieved in a variety of ways. For example, either or both the electrical and optical domain linearization can be operated and controlled in a closed loop control.
-
FIG. 2 shows anoptical communication system 200 based on the hybrid linearization design, where the optical domain linearization is actively controlled by a feedback loop. Asmall portion 212 of theoptical signal 112 after the optical processing by theoptical linearizer 120 is tapped off by an optical beam splitter orcoupler 210 and is detected by anoptical detector 220 for the feedback loop. Theelectrical signal 222 generated by thedetector 220 is fed into a distortion analyzer andcontroller 230. Theanalyzer 230 detects distortion levels of the injected pilot tone from a pilot tone generator 340 and provides feedback to actively maintain minimum distortion levels. Although a dedicated pilot tone is shown for simplicity, in many cases the microwave signal to be transmitted can be used to analyze the nonlinear distortion levels and determine the feedback signal so that a pilot tone is not needed. As shown inFIG. 2 , thelaser control 114 includes abias control 114A and awavelength control 114B in this implementation. The laser wavelength, e.g., through a temperature control on the laser diode, and the bias point of theoptical transmitter 110, are controlled through this active feedback process to minimize or negate the transmitter distortion. In addition, the operating point of the linearizing optical component in theoptical linearizer 120 is shown to be actively controlled by theanalyzer 230 to provide fine adjustment to theoptical linearizer 120. -
FIG. 3 shows anoptical communication system 300 where the optical linearizer is co-located with theoptical detector 150 at the signal receiving end and the control feedback is provided through anoptical link 330 back to theoptical transmitter 110 on the signal transmitting side. Theoptical detector 150 processes the received signal to extract the multiplexed RF signals 160 as output and generate anotheroutput signal 154. One or more distortion filters 310 are used to receive and process theoutput signal 154 to produce anelectronic signal 312 containing information on the signal distortions in the received signal by theoptical detector 150. A feedbackoptical transmitter 320, which may include a laser diode, produces afeedback laser signal 322 that is modulated to include the distortion information in response to a laser control signal based on thesignal 312. After transmitting through thefiber feedback loop 322, thefeedback laser signal 322 is received by theoptical detector 220. Thedistortion analyzer 230 receives the output from thedetector 220 and causes theoptical transmitter 110 to be controlled to reduce the distortions received by theoptical detector 150. Here, the laser diode in theoptical transmitter 110 may be principally adjusted through bias current and the diode temperature to achieve distortion suppression. -
FIG. 4 shows anotherembodiment 400 where theoptical linearizer 120 is co-located with theoptical detector 150 on the receiving end, where the feedback control is principally provided to theoptical linearizer 120 where its operating parameters are altered to minimize the link distortion. In this case, the laser diode operating conditions are fixed and distortion suppression is principally achieved through feedback control to the optical component in theoptical linearizer 120. - In addition to the above exemplary system implementations, the active feedback from a distortion analyzer, e.g., the 2nd and 3rd order distortion analyzer and controller, may be applied to each of the
electrical pre-distortion circuit 130 and theoptical linearizer 120 to maintain minimum transmission distortion conditions.FIG. 5 shows one embodiment of asystem 500 where two separate feedback loops are applied to control theelectrical pre-distortion circuit 130 and theoptical linearizer 120. In the illustrated example, theoptical linearizer 120 is located on the receiving end with theoptical detector 150. Hence, a separate distortion analyzer andcontroller 510 is coupled to theoptical detector 150 to provide a feedback control to thecontrol 115 of theoptical linearizer 120. For theelectronic pre-distortion circuit 130, the distortion analyzer andcontroller 230 is shown to control the operation ofelectronic pre-distortion circuit 130 based on the signal distortions in the signal prior to transmission through thelink 102. The optical tap for monitoring the harmonic content of the applied pilot tone can be placed before the optical linearizer. In this case, the feedback signal reflects only electrical domain linearization characteristics. A separate feedback path can be applied after the optical linearizer to optimize the optical domain linearization process. Hence, the active feedback is used for both the electrical and optical domain linearization. - In the above dual electrical and optical link linearization approach, the independence of the two linearization mechanisms is shown as examples and flexibility in its implementation and should allow for higher performance microwave optical transmission systems to be realized. The above hybrid linearization techniques may also be used in systems where an optical modulator is used to modulate the beam to imprint information on the modulated beam. Here, the pre-distortion circuit is used to control the modulator and the optical linearizer is in the optical path of the modulated beam.
-
FIGS. 6-10 show additional exemplary implementations and embodiments of hybrid linearization systems that combine both electrical pre-distortion linearization and optical linearization. - A number of additional modes of operation or permutations of the hybrid link linearizer are possible. In one operation mode, for example, the electrical pre-distortion circuit may be used to partially correct either one or both of the second- and third-order laser induced distortions; accordingly, the optical linearizer may be used to improve upon this partial correction. Alternatively, the electrical pre-distorter may be used to fully correct the second- (third-) order laser distortion while the optical linearizer is complimentary used to fully correct for the third- (second-) order distortion. Examples of these two cases are experimentally demonstrated below. One fiber optic link, for example, may include an electrical pre-distorter to correct for the laser diode induced third-order distortion while the optical linearizer is independently used to correct for the laser induced second-order distortion. As another example, the fiber optic link may include an electrical pre-distorter which partially corrects for the laser second-order laser distortion and the optical linearizer can operate to improve upon this partial distortion suppression.
-
FIG. 6 shows ahybrid system 600 with electrical compensation for third-order laser distortion by using apre-distortion circuit 610 and optical compensation for second-order laser distortion by using a second-orderoptical linearizer 620. This arrangement is a more specific arrangement as that shown inFIG. 1 . Any suitable third-order electrical pre-distorter may be used in this embodiment, such as a circuit similar to that described by Huang and Saad in “Novel Third-Order Distortion Generator with Residual IM2 Suppression Capabilities,” IEEE Transactions on Microwave Theory and Techniques, Vol. 46(12), pp. 2372-2382 (December, 1998). The second-orderoptical linearizer 620 may include a wavelength dependent fused fiber coupler that has been tailored for operation around 1310 nm, similar to that described by C. K. Sun in “Optical Linearizer for Fiber Communications,” U.S. patent application Ser. No. 09/825,631, filed Apr. 3, 2001. - For this measurement, a CATV grade starting laser diode at 1310 nm may be used as the
optical transmitter 110 which is biased at high DC current and RF modulated by a composite 78 channel NTSC CATV signal. The modulated optical signal was transmitted through 20 km of standard single-mode fiber, detected by a high linearity optical receiver, and analyzed using a CATV signal analyzer. The Carrier-to-Noise Ratio (CNR), the Composite Second Order (CSO) and Composite Triple Beat (CTB) distortion are measured yielding the link linearity performance. For reference, performance levels are measured with 0 dBm received optical power. - Table 1 shows the link performance with no electrical or optical linearization, displaying poor CSO and CTB performance (CSO and CTB values lower than −65 dBc at high CNR (>52 dB) are typically required for CATV signal distribution applications).
- Table 2 shows the link performance with combined electrical third-order compensation and optical second order compensation. Simple open loop control and adjustment of the electrical pre-distortion circuit, the optical linearizer and the optical transmitter have been used for this measurement. The details of open and closed loop operation for distortion minimization are discussed below. Significant improvement in the laser distortion properties are obtained using this hybrid linearization approach, approximately 10 dB third-order improvement and >20 dB second-order improvement, displaying the utility of this combined approach.
-
TABLE 1 Measured fiber optic link performance for NTSC 78 channel CATV loading with 0 dBm received power with no electrical or optical linearization Freq (MHz) CNR(dB) CSO(dBc) CTB(dBc) 55.25 54.6 −45.6 −58.5 343.25 53.5 −48.5 −59.0 547.25 54.1 −47.2 −60.5 -
TABLE 2 Measured fiber optic link performance for NTSC 78 channel CATV loading with 0 dBm received power with electrical third-order laser distortion compensation and optical second-order laser distortion compensation Freq (MHz) CNR(dB) CSO(dBc) CTB(dBc) 55.25 54.7 −73.7 −73.4 343.25 53.5 −70.7 −70.9 547.25 53.4 −68.7 −69.9 -
FIG. 7 shows thelink arrangement 700 for electrically and optically compensating for second-order laser distortion. A second-orderelectrical pre-distortion circuit 710 is used for theoptical transmitter 110. For simplicity, complimentary third-order correction is not shown. This arrangement is useful for cases where either optical or electrical compensation alone is not sufficient, and combined operation results in improved linearity. Most of the same fiber optic link and linearizer components and conditions as that described above have been used. The major difference is that an electrical second-order pre-distortion circuit 710 has been employed. Thissystem 700 has an open loop linearization scheme which includes theelectrical pre-distortion circuit 710, theoptical linearizer 620, and theoptical transmitter 110. - Table 3 shows the CNR and CSO link performance with no electrical or optical linearization displaying poor second-order distortion performance. Also included in Table 3 is the link performance with electrical, optical and combined electrical/optical second-order compensation. Significant improvement (>3 dB) in the link linearity performance is obtained using this combined hybrid linearization approach, displaying its utility overcoming transmitter distortion related limitations.
-
TABLE 3 Measured fiber optic link performance for NTSC 78 channel CATV loading with 0 dBm received power with no linearization, electrical linearization, optical linearization and combined optical-electrical second-order link linearization Freq No electrical and optical (MHz) CNR(dB) CSO(dBc) linearization 55.25 52.37 −46.3 CSO in −47 dB range (−65 dB required) 343.25 52.0 −51.2 547.25 51.4 −48.7 Freq (MHz) CNR(dB) CSO(dBc) Electrical linearization 55.25 53.0 −63.6 8 dB worse case CSO improvement 343.25 52.0 −59.0 547.25 51.6 −66.5 Freq (MHz) CNR(dB) CSO(dBc) Optical linearization 55.25 53.1 −68.6 15 dB worse case CSO improvement 343.25 52.7 −66.6 547.25 52.2 −64.2 Freq Electrical & optical second order (MHz) CNR(dB) CSO(dBc) linearization 55.25 53.5 −66.8 18 dB worse case CSO improvement 343.25 52.7 −69.8 547.25 51.9 −69.6 - The two demonstration examples discussed above can be implemented using either open or closed loop operation.
FIG. 8 shows a system embodiment where the electrical and optical domain linearization are actively controlled. A small portion of the optical signal is tapped off at theoptical coupler 210 within or after theoptical linearizer 120 and is detected by thedetector 220. The resulting electrical signal is fed into a distortion analyzer andcontroller 230. Theanalyzer 230, in this and other implementations, may include a microcontroller in its simplest form, to a more complex microcontroller with integrated RF filter and power meter. Theanalyzer 230 either directly or indirectly detects distortion levels by monitoring the optical power or electrical RF power level of the injected composite RF signal 140 providing feedback to actively maintain minimum distortion levels. In some cases, it might be advantageous to inject an RF pilot tone in addition to the multiplexedRF signal 140 to be used to analyze the nonlinear distortion levels and determine the feedback signal. The laser wavelength, throughtemperature control 114B for the laser diode, for example, and the bias point of theoptical transmitter 110, throughtemperature control 820 for thelinearizer 120, for example, can be controlled through this active feedback process to minimize the transmitter distortions. In addition, the operating point of theelectrical pre-distortion circuit 130 can be actively controlled through its voltage orcurrent controller 810 which is coupled between thedevices -
FIG. 9 shows anembodiment 900 where theoptical linearizer 120 is co-located with theoptical detector 150. This is a variation of the embodiment shown inFIG. 4 . In this embodiment, the feedback is provided through thedistortion analyzer 230 andtemperature controller 820 to theoptical linearizer 120 where its operating parameters are altered to minimize the link distortion. The operating conditions of the laser diode in thetransmitter 110 and theelectronic pre-distortion circuit 130 are fixed (open loop operation) and distortion suppression is principally achieved through feedback control (closed loop operation) to theoptical linearizer 120. -
FIG. 10 further shows that asystem 1000 alternative to the embodiment shown inFIG. 5 , where closed-loop active feedback mechanisms for both electrical and optical linearization can be achieved by placing theoptical linearizer 120 at the remoteoptical detector 150. The electrical feedback control loop for thepre-distortion circuit 130 does not use the pilot tone generator as inFIG. 5 . Thecontrol 820 for theoptical linearizer 120 is a temperature control device to change the temperature of the optical element inside of thelinearizer 120. In this case, the front-end feedback signal reflects only transmitter linearization characteristics while the receiver based analyzer and controller 430 reflects overall link distortion properties. - The
optical linearizer 120 used in the above-described systems may be implemented in various configuration. In accordance with the present invention, a communications apparatus for linearizing the output of an optical transmitter (such as a DFB laser diode), includes an optical device (such as a fused fiber WDM coupler). Specifically, the optical device is connected to receive the output of the optical transmitter. It happens that the output from the optical transmitter will include a modulated signal, as well as second and third order distortions (hereinafter sometimes collectively referred to as a “transmitter distortion”). Importantly, the transmitter output also includes a characteristic wavelength “chirping”. In accordance with the present invention, this “chirping,” together with the desired transmitter output, is used as an input by the optical device, to optically generate nonlinear distortion signals (hereinafter sometimes collectively referred to as “compensation distortions”) that will compensate the transmitter distortion. Accordingly, the compensation distortions can be added to the output of the optical transmitter to cancel the transmitter distortions (second and/or third order distortions) in the output. - Technically, the modulated signal that is transmitted by the transmitter (e.g. laser diode) will have a center emission wavelength (λc) and a characteristic wavelength chirping (dλc). Further, the optical device (e.g. coupler) will include components for establishing a predetermined, wavelength dependent, normalized optical transfer curve F(λ). Specifically, this optical transfer curve F(λ) is fabricated to accommodate the operating condition of the optical transmitter. In particular, the optical transfer curve F(λ) of the optical device is designed to have a reference wavelength (λp), a slope determinant wavelength spacing (Δλw), and an operating point wavelength offset (Δλb) that are all based on the known operating conditions of the transmitter.
- In their connection with each other, the optical device and the optical transmitter can be individually or collectively wavelength (e.g. temperature) tuned. Preferably, an operating temperature for the optical transmitter (or optical device) can be established which will align (λc) of the transmitter with (λp+Δλb) of the optical device. Regardless how the operating temperature is established, when the system is tuned, an operating point can be established on the optical transfer curve F(λ) that will interact with the wavelength chirping (dλc) from the transmitter in a specified manner. Preferably, this operating point is established on the optical transfer curve F(λ) where λp+Δλb=λc. Thus, the purpose here is to use F(λ) to optically induce a compensation distortion from the wavelength chirping (dλc) that will substantially compensate the transmitter distortions (second and/or third order distortions) that are introduced by the transmitter. Once the compensation distortions have been induced by the optical device (e.g. coupler), linearization of the optical transmitter (e.g. laser diode) is accomplished by adding the compensation distortion to the output of the transmitter. Stated differently, the compensation distortion is added to the output of the optical transmitter to cancel the transmitter distortion from the modulated signal in the output.
-
FIG. 11 shows that anoptical linearizer 16 may include two or more optical linearizing elements in series with different optical transmission characteristics. Referring back toFIG. 1 , communications data is generated by asignal source 140 and is used to modulate theoptical transmitter 110. The communications data fromsignal source 140 may be in a digital, an analog, or a mixed format. The modulated signal of the output ofoptical transmitter 110 is then fed into theoptical linearizer 120. For purposes of the present invention, theoptical transmitter 110 may include a laser diode such as a DFB laser diode. It is to be appreciated, however, that theoptical transmitter 110 may be a direct modulated laser diode, an electro-absorption modulator, or a Mach-Zehnder modulator. Importantly, the output of theoptical transmitter 110 at λc may have an analog modulation format that is sinusoidal in nature. It is also important to recognize that, in all cases, the output of theoptical transmitter 110 will include more than just the modulated signal to be transmitted. Specifically, in addition to the modulated signal, the output ofoptical transmitter 110 generally includes optical distortions (second and/or third order) and it can have a “chirping” (dλc) that is characteristic of theoptical transmitter 110. Referring toFIG. 2 , thelaser control 114 may include abias control 114A which can be used to influence the content of the output from the optical transmitter 110 (e.g. minimizing the third order distortions). Thelaser control 114 may also include awavelength control 114B to establish or tune the center emission wavelength (λc). Thewavelength control 114B can be tuned in several ways, such as by temperature tuning, voltage tuning, current tuning or mechanical tuning. - The
optical linearizer 120 may be a fused fiber WDM coupler, or, alternatively, be any optical device with a wavelength dependent transfer function. Such a device may include wavelength dependent absorptive (or gain) materials, electro-absorption semiconductor waveguides, fiber Bragg-gratings, wavelength dependent coupling interleavers, Mach-Zehnder waveguide modulators, acoustic-optical tunable filters, tapered fiber filters, thin film filters or arrayed waveguide grating (AWG) filters. These types of devices may be used either individually or in combination with each other to form thelinearizer 120. Theoptical linearizer 120 may be designed and fabricated to have a specific optical transfer curve F(λ). Because theoptical linearizer 120 is a wavelength dependent device, it can be tuned by theoperation control 115. -
FIG. 11 also shows various types of exemplary optical transfer curves that can be fabricated for theoptical linearizer 120. Specifically, theoptical linearizers optical linearizers linearizers linearizers FIG. 12 . -
FIG. 12 shows an optical transfer curve F(λ) that is typical of one that can be fabricated for a fused fiber WDM coupler typeoptical linearizer 120. The optical transfer curve F(λ) is characterized by a reference wavelength (λp) and a slope determinant wavelength spacing (Δλw). Also,FIG. 12 shows atypical operating point 32 for theoptical linearizer 120 that is identified by the wavelength offset Δλb. The slope of the transfer curve changes as theoperating point 32 is changed. This, of course, need not always be so (e.g. linearizer 16 b inFIG. 11 ). Nevertheless, for the optical transfer curve F(λ) shown inFIG. 12 , both the reference wavelength (λp), and a slope determinant wavelength spacing (Δλw), can be fabricated for the optical transfer curve F(λ). The coupler operating point offset (Δλb) can then be established (tuned) on optical transfer curve F(λ) by theoperation controller 30. Preferably, this is done by temperature tuning. - Still referring to
FIG. 12 , it will be appreciated that theoperating point 32 should be established where λc=λp+Δλb. Accordingly, when the wavelength chirped dλc from the optical transmitter 12 is fed into theoptical linearizer 16, the interaction of the wavelength chirped dλc at theoperating point 32 of the optical transfer curve F(λ) results in an output having modulations (dF).FIGS. 13A and 14 respectively showgraphs 34, 36 that present empirical data for the suppression of optical distortions in asystem 10. Further,FIG. 13B shows acomparison 34′ between an empirical simulation and experimental data obtained for a suppression of optical distortions similar to those shown for thegraph 34 ofFIG. 13A . Specifically, thesegraphs 34, 36 indicate there is an identifiable operating point wavelength offset (Δλb), and an identifiable slope determinant wavelength spacing (Δλw) for eachoptical linearizer 110 that can induce a modulation (dF) which effectively suppresses transmitter distortions (second and/or third order). - Generally, the wavelength dependency of an
optical linearizer 16 can be represented by a normalized optical transfer curve F(λ). Mathematically, this transfer curve F(λ) can be expressed in Taylor series around the center emission wavelength λc of the transmitter: -
- where Fn=dnF(λ)/dλn with λ=λc. Further, the modulated wavelength λ(t) (i.e. modulated signal output) of the
optical transmitter 110 can be expressed as λ(t)=λc+dλc(t). For the present invention, in response to the transfer curve F(λ), the transmitter chirping dλc creates a modulated linearizer output (dF) shown inFIG. 3 . Thus, the output of theoptical linearizer 120 can be expressed as: -
P out(t,λ)=P TR(t)·α·F(λ) (Eq. 2) - where Pout is the output of the
optical linearizer 120, PTR is the output of the transmitter, and α is the optical insertion loss of theoptical linearizer 120. - In the specific case where the
optical transmitter 110 is a DFB laser diode, the transmitter chirping dλc under single tone modulation can be expressed as: -
dλ c(t)=−ηFM ·m·(I b −I th)·sin(ω·t)·λc 2 /C (Eq. 3) - where C is the light speed, ηFM is the FM response of the laser, Ib is the laser bias current, Ith is the laser threshold current, m is the optical modulation depth, and ω is the modulation angular frequency. Combining Equations (1) to (3), we can obtain the modulated linearizer output from P(λ) due to laser chirping as:
-
P out(t,λ)=P TR(t)·α·{F 0(λc)+F 1·(λm·sin(ω·t))+F 2·(λm·sin(ω·t))2/2+F 3·(λm·sin(ω·t))3/6+ . . . } (Eq. 4) - where λm=−ηFM·ib·(λc)2/C and ib=m·(Ib−Ith).
- When the optical transmitter is a laser diode the output PTR can be modeled from the laser diode's nonlinear L-I curve, using a Taylor expansion as:
-
P TR(I)=P LD(I b)+h1·(I−I b)+h2·(I−I b)2/2!+h3·(I−I b)3/3!+ . . . (Eq. 5) - where hn=(dnPLD(I)/dIn) at I=Ib, and I is the laser diode driving current. Let I=Ib+m·(Ib−Ith)·sin(ω·t) and ib=m·(Ib−Ith), then the modulated laser diode output is
-
- Combining Equations (4) and (6), we can derive the second and third order compensation distortion contents after the output of the
optical linearizer 110 as: -
- The second order distortion terms in Equation (6) primarily consist of a combination of the second order distortion Pout,2nd,LD originated from the laser diode transmitter, second order distortion Pout,2nd,LD⊕ linearizer due to the mixing of the first order laser output with the first order chirping-modulated linearizer output, and the second order chirping-modulated linearizer output Pout,2nd,linearizer. According to Equation (7) with proper λc and optical linearizer function F(λ), the second order distortion Pout,2nd,LD can be suppressed or compensated primarily by Pout,2nd,LD linearizer and Pout,2nd,linearizer. Similarly, the third order distortion can be suppressed by proper λc and F(λ).
- The generality of this approach can be demonstrated using a few illustrative examples. For an optical linearizer with linear wavelength attenuation relationship, such as the
linearizer 16 b shown inFIG. 11 , i.e., Fn≧2=0, the second order distortion can be suppressed if F1=h2·F0(λc)·C/(2·h1·ηFM·λc 2) and the third order distortion can be suppressed if F1=h3·F0(λc)·C/(3·h2·ηFM·λc 2) where F1 is the slope of the normalized transfer curve at λc. For an optical linearizer using fused fiber WDM coupler with an optical transfer curve F(λ) as shown inFIG. 12 , this transfer function F(λ) can be expressed as: -
F(λ)=[1+cos(π·(Δλb +dλ)/Δλw)]/2 (Eq. 9) - where Δλw is the fused fiber WDM coupler slope determinant wavelength spacing (i.e. the WDM coupler channel spacing), dλc is the wavelength chirping of the optical transmitter 12, and Δλb is the coupler operating point offset. According to
FIG. 12 , we have Δλb=λc−λp where λp is the reference wavelength of the coupler. Using Equations (3), (7), (8) and (9), the second and third order distortions can be approximated as: -
- In light of the above, compensation distortion suppressions with a fused fiber WDM coupler can be examined using laser diode parameters where h1≈0.36 mW/mA, h2≈−1.5·10−4 mW/mA2, and h3≈4·10−6 mW/mA3. Assuming Ib−Ith=60 mA, m=13%, λc=1310 nm, ηFM=100 MHz/mA, optical losses of 4.6 dB, laser output power of 22 mW, 0.85 mA/mW detector responsivity, no additional distortions after fiber transmission/detection and no distortion compensation from the
optical linearizer 16, the detected fundamental signal is −18 dBm, the second order harmonic is −79 dBm, and the third order harmonic is −103 dBm. The above distortions all originate from theoptical transmitter 110. With optical linearizer parameters Δλw=3 nm and Δλb=0.65 nm, the detected fundamental signal is −19 dBm, the second order harmonics is −120 dBm, and the third order harmonics is −104 dBm. The second order distortion is suppressed by 40 dB after optical compensation, with an additional optical loss of 0.5 dB due to coupler offset from the coupler maximum transmission point. With Δλw=3 nm,FIGS. 13A and 13B show the second order suppression as a function of Δλb. According toFIGS. 13A and 13B , a compensation suppression of more than 20 dB can be achieved when Δλb various from 0.6 to 0.7 nm. Withoptical linearizer 120 having Δλw=0.47 nm and no offset (Δλb=0 nm), the detected fundamental signal is −18 dBm, the second order harmonics is −77 dBm, and the third order harmonics is −140 dBm. The third order distortion is suppressed by 37 dB after optical compensation. With Δλb=0 nm,FIG. 14 shows the third order suppression as a function of Δλw. According toFIG. 14 , a compensation suppression more than 20 dB can be achieved when Δλw varies from 0.45 to 0.49 nm. It is also possible that with a singleoptical linearizer 120, we can simultaneously suppress both second and third order distortions. A simulation with the optical linearizer Δλw=0.45 nm and Δλb=0.02 nm yields a detected fundamental signal of −18 dBm, the second order distortions of −107 dBm, and the third order distortions of −123 dBm. In this case, 20 dB or more suppression is simultaneously obtained for both second and third order distortion. To confirm the theory,FIG. 13B is included to show the second order distortion suppression obtained by empirical simulation in comparison with experimental data where h1˜0.15 mW/mA, h2=−0.7×10−4 mW/mA2, λc=1313 nm, ηFM=270 MHz/mA, and Δλw=5.5 nm. - In the specific case where the
optical linearizer 120 is a fused fiber WDM coupler, it can be appreciated with reference to fromFIGS. 12 , 13A and 13B, that λc needs to be aligned to λp+Δλb with certain degree of accuracy to achieve good compensation distortion suppression. Given a specified operation condition for theoptical transmitter 110, Δλw, and Δλb can be estimated for optimum performance. Knowing λc, a fused fiber WDM coupler can be fabricated with a reference wavelength λp=λc−Δλb and the desired slope determinant wavelength spacing Δλw. The small offset between λc and λp+Δλb can then be minimized by temperature tuning the laser diode (optical transmitter 110) and/or the fused fiber WDM coupler (optical linearizer 120). If the optical linearizer is a fused fiber WDM coupler, the temperature sensitivity of the coupler (optical linearizer 120) may be around 0.01 nm/° C. and the sensitivity of the DFB laser diode (optical transmitter 110) may be around 0.1 nm/° C. The stability of a good laser diode temperature controller can be better than 0.1° C., which corresponds to wavelength stability on the order between 0.01 to 0.001 nm. - The following describes a specific implementation of a fused fiber optical linearizer suitable for the above and other applications. In general, both fused and tapered optical fibers may be used. The fused fiber filter may be fabricated by first stripping the buffer material from two optical fibers over a small distance (typically less than 20 mm). These fibers are cleaned and placed side by side in a clamping mechanism attached to a multi-axis motion control stage. Next, the stripped regions of the two fibers are brought into contact. This may be done either by manually pushing the fibers together or by twisting the fibers around each other. Once the fibers are in place, a heat source, such as a gas flame micro-torch, may be positioned to allow heating of a small section of the fibers to a temperature which will allow them to fuse to each other. This heat source may be allowed to move during fabrication to change the size of the heated region, as well as change in intensity to increase or lower the temperature of the fiber during various stages of the process. Once the heat source is applied, there may be an initial period when the fibers are kept stationary to allow them to fuse a predetermined amount before pulling. The clamps holding the optical fibers may be subsequently set in motion in such a manner as to begin stretching the fibers to form a taper in the heated region. The rate of this tapering may be constant, or it may change to allow precise control over the taper profile. It is typical to pull at a high rate initially to allow for short fabrication times, and then slow near the end of the process to allow better control of the final stopping point.
- During the process of creating a fused fiber filter, substantially unpolarized light is input into one of two fibers that are fused together and tapered, and the output power of each fiber is monitored as the coupler is elongated. The injection of either unpolarized light or light that has roughly equal amounts of power polarized in both the principal axes of the fused fibers is beneficial, in that it allows one to view the effects of form birefringence (the polarization effects caused by the non-circular cross-section of the fused region) on the coupling properties. As the fused fibers are pulled and tapered, both the degree of fusion, which affects the coupling coefficient, and the coupling length are gradually increased. It is observed that initially no power is transferred from the input fiber to the other. As the pulling continues light begins to couple over from one fiber into the second fiber. During tapering light initially launched into one of the fibers detaches from the core and becomes guided by the cladding/air interface. Low loss tapers will excite the two lowest order modes of the composite waveguide formed in the tapered region of the two fibers. Since the propagation constants are different for these two modes, there will be a beating of the modes as they propagate down the fused region of the coupler, resulting in a transfer of power from one output fiber to the other, which causes the optical power to cycle sinusoidally between the two output ports if the pulling of the fibers is continued. Due to the fact that different wavelengths of light will have different propagation constants, and thus different coupling rates, at any given stage in the pulling process the power ratio in the two output ports will be different for different wavelengths input to the device. Thus the fused fibers may operate as a wavelength filter, which ends up having a sinusoidally varying transfer curve as a function of wavelength. This sinusoidal wavelength dependence will have an increasing frequency, and thus a steeper maximum slope, as the device is pulled through longer lengths.
- If the coupler is drawn to sufficient lengths, form birefringence in the coupled region results in an additional sinusoidal envelope modulating this power transfer, due to the fact that the coupling coefficients for light aligned along each of the principal axes of the tapered waveguide are slightly different. This effect is only seen when the fibers have been pulled for relatively long lengths, and thus through many power transfer cycles. This envelope is an indication of the polarization dependence of the device. A polarization insensitive fused fiber filter can be created by monitoring the polarization envelope and halting the tapering when the coupling is observed to be at a maximum in the polarization envelope. The required slope of the filter can be determined by selecting which envelope maximum (eg first, fifth, tenth, etc.) at which the process is stopped. In addition, the fabrication parameters can be varied to allow for slightly different filter characteristics within a given envelope. After stopping the pulling and removing the heat source, the device may be tuned by slight changes in the tensioning of the fused fibers. This is most reliably accomplished by inserting a broadband light source into the input fiber and connecting one of the output fibers to an optical spectrum analyzer to monitor the wavelength response. The device is then tuned to properly align the peak channel wavelength with the polarization envelope. Proper alignment may include shifting the peak response of the filter to occur at a position different from the polarization envelope maximum in order for the expected operating wavelength (which typically will not be at the filter's peak wavelength) to be aligned as closely as possibly with the polarization envelope maximum, ensuring a high degree of polarization insensitivity.
-
TABLE 4 Specifications/Requirements: Fiber Type SMF28 Equivalent Channel Spacing 4.5-5.0 nm Excess Loss ≦0.2 dB Wavelength Range 1305-1315 nm Peak Wavelength Stability ±0.10 nm (lifetime) Operating Temperature −20 C.-+65 C. Storage Temperature −40 C.-+85 C. Operating/Storage Humidity 5-85% Temperature Response ≦0.0075 nm/C. (linear) Temperature Slope Variation Between Units ≦±5% Packaged Size ⅛″ × 2.5″ (maximum) Peak Wavelength Isolation * 27 dB min-30 dB max Polarization Envelope Width ≧100 nm - After tuning, the device is then packaged by mounting the filter to a glass substrate (typically using epoxy). Once the coupler has been bonded to the supporting substrate, the substrate is then placed inside a steel tube, and the ends of the tube are sealed. Table 4 shows an example of such a fused fiber linearizer produced with the above fabrication techniques.
- Only a few embodiments are disclosed. However, it is understood that variations and enhancements may be made without departing from the spirit of and are intended to be encompassed by the following claims.
Claims (6)
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US12/191,631 US20090028578A1 (en) | 2001-10-26 | 2008-08-14 | Hybrid Optical and Electrical Fiber Optic Link Linearizer |
Applications Claiming Priority (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US34441901P | 2001-10-26 | 2001-10-26 | |
US10/281,389 US7426350B1 (en) | 2001-10-26 | 2002-10-25 | Hybrid optical and electrical fiber optic link linearizer |
US12/191,631 US20090028578A1 (en) | 2001-10-26 | 2008-08-14 | Hybrid Optical and Electrical Fiber Optic Link Linearizer |
Related Parent Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
US10/281,389 Division US7426350B1 (en) | 2001-10-26 | 2002-10-25 | Hybrid optical and electrical fiber optic link linearizer |
Publications (1)
Publication Number | Publication Date |
---|---|
US20090028578A1 true US20090028578A1 (en) | 2009-01-29 |
Family
ID=39743257
Family Applications (2)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
US10/281,389 Expired - Fee Related US7426350B1 (en) | 2001-10-26 | 2002-10-25 | Hybrid optical and electrical fiber optic link linearizer |
US12/191,631 Abandoned US20090028578A1 (en) | 2001-10-26 | 2008-08-14 | Hybrid Optical and Electrical Fiber Optic Link Linearizer |
Family Applications Before (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
US10/281,389 Expired - Fee Related US7426350B1 (en) | 2001-10-26 | 2002-10-25 | Hybrid optical and electrical fiber optic link linearizer |
Country Status (1)
Country | Link |
---|---|
US (2) | US7426350B1 (en) |
Cited By (11)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20080317468A1 (en) * | 2007-06-19 | 2008-12-25 | Villarruel Fernando X | Amplified Wavelength Broadband Video Distribution Architectures Using An External Waveguide |
US20080317467A1 (en) * | 2007-06-19 | 2008-12-25 | Villarruel Fernando X | Amplified Wavelength Broadband Video Distribution Architectures |
WO2012163419A1 (en) * | 2011-06-01 | 2012-12-06 | Telefonaktiebolaget L M Ericsson (Publ) | Modulator for optical transmitter |
US20170101651A1 (en) * | 2015-10-12 | 2017-04-13 | Dow Agrosciences Llc | Wupa nucleic acid molecules that confer resistance to coleopteran and hemipteran pests |
US20170175132A1 (en) * | 2015-12-18 | 2017-06-22 | Dow Agrosciences Llc | Ribosomal Protein L40 (RPL40) Nucleic Acid Molecules That Confer Resistance To Coleopteran And Hemipteran Pests |
JP6319487B1 (en) * | 2017-03-14 | 2018-05-09 | Nttエレクトロニクス株式会社 | Optical transmission characteristic estimation method, optical transmission characteristic compensation method, optical transmission characteristic estimation system, and optical transmission characteristic compensation system |
US20180191443A1 (en) * | 2013-03-08 | 2018-07-05 | Inphi Corporation | Adaptive mach zehnder modulator linearization |
US10056980B2 (en) | 2014-11-20 | 2018-08-21 | Telefonaktiebolaget Lm Ericsson (Publ) | Method of controlling the generation of a coherent optical signal and coherent optical signal control apparatus |
US10617392B2 (en) * | 2013-02-04 | 2020-04-14 | Hitachi, Ltd. | Ultrasound imaging device and ultrasound imaging method |
US10707962B2 (en) | 2015-08-24 | 2020-07-07 | Telefonaktiebolaget Lm Ericsson (Publ) | Control of an optical transmitter in a radio over fibre system |
US20210389439A1 (en) * | 2015-06-04 | 2021-12-16 | Chikayoshi Sumi | Measurement and imaging instruments and beamforming method |
Families Citing this family (23)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US7426350B1 (en) * | 2001-10-26 | 2008-09-16 | Cisco Technology, Inc. | Hybrid optical and electrical fiber optic link linearizer |
GB2422990B (en) * | 2005-02-03 | 2009-09-16 | Agilent Technologies Inc | Test System |
US7634198B2 (en) * | 2006-06-21 | 2009-12-15 | Emcore Corporation | In-line distortion cancellation circuits for linearization of electronic and optical signals with phase and frequency adjustment |
US7856184B2 (en) * | 2006-08-28 | 2010-12-21 | University Of Central Florida Research Foundation, Inc. | Systems and methods for adaptive interference cancellation |
US8260144B2 (en) * | 2008-03-12 | 2012-09-04 | Hypres Inc. | Digital radio frequency tranceiver system and method |
US8822895B2 (en) * | 2008-10-09 | 2014-09-02 | National Institute Of Information And Communications Technology | Fiber fuse detecting apparatus |
US8867928B2 (en) | 2010-05-17 | 2014-10-21 | Neophotonics Corporation | Hybrid fiber coaxial network optical transport system with distortion control |
US8660437B1 (en) * | 2010-11-24 | 2014-02-25 | Emcore Corporation | Minimizing distortion due to wavelength dependent loss in WDM optical networks |
US8606116B2 (en) * | 2011-01-13 | 2013-12-10 | Applied Optoelectronics, Inc. | System and method for distortion compensation in response to frequency detection |
US9048954B2 (en) * | 2011-03-02 | 2015-06-02 | International Business Machines Corporation | Optical interconnect using optical transmitter pre-distortion |
JP6031963B2 (en) * | 2012-11-21 | 2016-11-24 | 富士通株式会社 | Optical transmission apparatus, optical transmission method, and optical transmission program |
US9225422B1 (en) * | 2013-07-11 | 2015-12-29 | Inphi Corporation | Integrated control module for communication system on a chip for silicon photonics |
US9166704B1 (en) * | 2013-07-17 | 2015-10-20 | Inphi Corporation | Integrated control for silicon photonics |
US9407375B2 (en) * | 2013-09-30 | 2016-08-02 | Infinera Corporation | Optical transfer linearity using test tones |
US10038503B2 (en) * | 2014-08-13 | 2018-07-31 | Xilinx, Inc. | Adaptive optical channel compensation |
US9419722B2 (en) * | 2014-08-27 | 2016-08-16 | Alcatel Lucent | Feedback for electronic pre-distortion in an optical transmitter |
JP2016092491A (en) * | 2014-10-30 | 2016-05-23 | 富士通株式会社 | Radio transmission system and distortion compensation method |
US10148363B2 (en) | 2015-12-08 | 2018-12-04 | Zte Corporation | Iterative nonlinear compensation |
US10148465B2 (en) * | 2015-12-08 | 2018-12-04 | Zte Corporation | Training assisted joint equalization |
GB201605120D0 (en) * | 2016-03-24 | 2016-05-11 | Univ Aston | System and method for the transmission of optic signals |
US10938484B2 (en) * | 2018-10-05 | 2021-03-02 | Huawei Technologies Co., Ltd. | Monitoring performance of optical network using low-power gaps and a pilot tone |
GB2588959B (en) * | 2019-11-15 | 2022-03-23 | Cisco Tech Inc | Method and apparatus for pre-distorting an input signal for an optical transmitter |
CN114978330B (en) * | 2022-05-12 | 2024-01-23 | 北京浦丹光电股份有限公司 | Feedforward post-compensation linearization radio frequency optical transmitter and improvement method thereof |
Citations (21)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US3794841A (en) * | 1972-07-25 | 1974-02-26 | L Cosentino | Light coupling data transfer system |
US4809257A (en) * | 1985-04-02 | 1989-02-28 | International Business Machines Corporation | Hierarchical distributed infrared communication system |
US5003546A (en) * | 1989-08-31 | 1991-03-26 | At&T Bell Laboratories | Interferometric devices for reducing harmonic distortions in laser communication systems |
US5161044A (en) * | 1989-07-11 | 1992-11-03 | Harmonic Lightwaves, Inc. | Optical transmitters linearized by means of parametric feedback |
US5229593A (en) * | 1991-10-08 | 1993-07-20 | International Business Machines Corporation | Apparatus and method for safe, free space laser communication |
US5252930A (en) * | 1989-09-07 | 1993-10-12 | Ortel Corporation | Predistorter for linearization of electronic and optical signals |
US5257124A (en) * | 1991-08-15 | 1993-10-26 | General Instrument Corporation | Low distortion laser system for AM fiber optic communication |
US5282072A (en) * | 1991-11-19 | 1994-01-25 | Harmonic Lightwaves, Inc. | Shunt-expansive predistortion linearizers for optical analog transmitters |
US5416627A (en) * | 1988-09-06 | 1995-05-16 | Wilmoth; Thomas E. | Method and apparatus for two way infrared communication |
US5424680A (en) * | 1993-11-30 | 1995-06-13 | Harmonic Lightwaves, Inc. | Predistorter for high frequency optical communications devices |
US5436749A (en) * | 1991-12-09 | 1995-07-25 | Scientific-Atlanta, Inc. | Method and apparatus for predistortion |
US5481389A (en) * | 1992-10-09 | 1996-01-02 | Scientific-Atlanta, Inc. | Postdistortion circuit for reducing distortion in an optical communications system |
US5680104A (en) * | 1996-05-31 | 1997-10-21 | Volution | Fiber optic security system |
US5777768A (en) * | 1995-09-01 | 1998-07-07 | Astroterra Corporation | Multiple transmitter laser link |
US5850305A (en) * | 1996-12-18 | 1998-12-15 | Scientific-Atlanta, Inc. | Adaptive predistortion control for optical external modulation |
US6122085A (en) * | 1997-04-08 | 2000-09-19 | Lucent Technologies Inc. | Lightwave transmission techniques |
US6538789B2 (en) * | 2001-04-03 | 2003-03-25 | Lightwave Solutions, Inc. | Optical linearizer for fiber communications |
US6574389B1 (en) * | 1999-05-24 | 2003-06-03 | Broadband Royalty | Optical communication with pre-compensation for odd order distortion in modulation and transmission |
US6671465B1 (en) * | 2000-04-07 | 2003-12-30 | Lucent Technologies Inc. | Apparatus and methods for improving linearity and noise performance of an optical source |
US6687466B1 (en) * | 2000-01-06 | 2004-02-03 | Adc Telecommunications, Inc. | Dynamic distortion control |
US7426350B1 (en) * | 2001-10-26 | 2008-09-16 | Cisco Technology, Inc. | Hybrid optical and electrical fiber optic link linearizer |
-
2002
- 2002-10-25 US US10/281,389 patent/US7426350B1/en not_active Expired - Fee Related
-
2008
- 2008-08-14 US US12/191,631 patent/US20090028578A1/en not_active Abandoned
Patent Citations (21)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US3794841A (en) * | 1972-07-25 | 1974-02-26 | L Cosentino | Light coupling data transfer system |
US4809257A (en) * | 1985-04-02 | 1989-02-28 | International Business Machines Corporation | Hierarchical distributed infrared communication system |
US5416627A (en) * | 1988-09-06 | 1995-05-16 | Wilmoth; Thomas E. | Method and apparatus for two way infrared communication |
US5161044A (en) * | 1989-07-11 | 1992-11-03 | Harmonic Lightwaves, Inc. | Optical transmitters linearized by means of parametric feedback |
US5003546A (en) * | 1989-08-31 | 1991-03-26 | At&T Bell Laboratories | Interferometric devices for reducing harmonic distortions in laser communication systems |
US5252930A (en) * | 1989-09-07 | 1993-10-12 | Ortel Corporation | Predistorter for linearization of electronic and optical signals |
US5257124A (en) * | 1991-08-15 | 1993-10-26 | General Instrument Corporation | Low distortion laser system for AM fiber optic communication |
US5229593A (en) * | 1991-10-08 | 1993-07-20 | International Business Machines Corporation | Apparatus and method for safe, free space laser communication |
US5282072A (en) * | 1991-11-19 | 1994-01-25 | Harmonic Lightwaves, Inc. | Shunt-expansive predistortion linearizers for optical analog transmitters |
US5436749A (en) * | 1991-12-09 | 1995-07-25 | Scientific-Atlanta, Inc. | Method and apparatus for predistortion |
US5481389A (en) * | 1992-10-09 | 1996-01-02 | Scientific-Atlanta, Inc. | Postdistortion circuit for reducing distortion in an optical communications system |
US5424680A (en) * | 1993-11-30 | 1995-06-13 | Harmonic Lightwaves, Inc. | Predistorter for high frequency optical communications devices |
US5777768A (en) * | 1995-09-01 | 1998-07-07 | Astroterra Corporation | Multiple transmitter laser link |
US5680104A (en) * | 1996-05-31 | 1997-10-21 | Volution | Fiber optic security system |
US5850305A (en) * | 1996-12-18 | 1998-12-15 | Scientific-Atlanta, Inc. | Adaptive predistortion control for optical external modulation |
US6122085A (en) * | 1997-04-08 | 2000-09-19 | Lucent Technologies Inc. | Lightwave transmission techniques |
US6574389B1 (en) * | 1999-05-24 | 2003-06-03 | Broadband Royalty | Optical communication with pre-compensation for odd order distortion in modulation and transmission |
US6687466B1 (en) * | 2000-01-06 | 2004-02-03 | Adc Telecommunications, Inc. | Dynamic distortion control |
US6671465B1 (en) * | 2000-04-07 | 2003-12-30 | Lucent Technologies Inc. | Apparatus and methods for improving linearity and noise performance of an optical source |
US6538789B2 (en) * | 2001-04-03 | 2003-03-25 | Lightwave Solutions, Inc. | Optical linearizer for fiber communications |
US7426350B1 (en) * | 2001-10-26 | 2008-09-16 | Cisco Technology, Inc. | Hybrid optical and electrical fiber optic link linearizer |
Cited By (16)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20080317468A1 (en) * | 2007-06-19 | 2008-12-25 | Villarruel Fernando X | Amplified Wavelength Broadband Video Distribution Architectures Using An External Waveguide |
US20080317467A1 (en) * | 2007-06-19 | 2008-12-25 | Villarruel Fernando X | Amplified Wavelength Broadband Video Distribution Architectures |
US7903980B2 (en) * | 2007-06-19 | 2011-03-08 | Villarruel Fernando X | Amplified wavelength broadband video distribution architectures using a phase modulating waveguide |
US8111992B2 (en) * | 2007-06-19 | 2012-02-07 | Villarruel Fernando X | Amplified wavelength broadband video distribution architectures |
WO2012163419A1 (en) * | 2011-06-01 | 2012-12-06 | Telefonaktiebolaget L M Ericsson (Publ) | Modulator for optical transmitter |
US9485028B2 (en) | 2011-06-01 | 2016-11-01 | Telefonaktiebolaget L M Ericsson (Publ) | Modulator for optical transmitter |
US10617392B2 (en) * | 2013-02-04 | 2020-04-14 | Hitachi, Ltd. | Ultrasound imaging device and ultrasound imaging method |
US10103815B2 (en) * | 2013-03-08 | 2018-10-16 | Inphi Corporation | Adaptive Mach Zehnder modulator linearization |
US20180191443A1 (en) * | 2013-03-08 | 2018-07-05 | Inphi Corporation | Adaptive mach zehnder modulator linearization |
US10056980B2 (en) | 2014-11-20 | 2018-08-21 | Telefonaktiebolaget Lm Ericsson (Publ) | Method of controlling the generation of a coherent optical signal and coherent optical signal control apparatus |
US20210389439A1 (en) * | 2015-06-04 | 2021-12-16 | Chikayoshi Sumi | Measurement and imaging instruments and beamforming method |
US10707962B2 (en) | 2015-08-24 | 2020-07-07 | Telefonaktiebolaget Lm Ericsson (Publ) | Control of an optical transmitter in a radio over fibre system |
US20170101651A1 (en) * | 2015-10-12 | 2017-04-13 | Dow Agrosciences Llc | Wupa nucleic acid molecules that confer resistance to coleopteran and hemipteran pests |
US20170175132A1 (en) * | 2015-12-18 | 2017-06-22 | Dow Agrosciences Llc | Ribosomal Protein L40 (RPL40) Nucleic Acid Molecules That Confer Resistance To Coleopteran And Hemipteran Pests |
JP6319487B1 (en) * | 2017-03-14 | 2018-05-09 | Nttエレクトロニクス株式会社 | Optical transmission characteristic estimation method, optical transmission characteristic compensation method, optical transmission characteristic estimation system, and optical transmission characteristic compensation system |
JP2018152744A (en) * | 2017-03-14 | 2018-09-27 | Nttエレクトロニクス株式会社 | Optical transmission characteristic estimation method, optical transmission characteristic compensation method, optical transmission characteristic estimation system and optical transmission characteristic compensation system |
Also Published As
Publication number | Publication date |
---|---|
US7426350B1 (en) | 2008-09-16 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
US7426350B1 (en) | Hybrid optical and electrical fiber optic link linearizer | |
US7570888B2 (en) | High power, optically-linearized microwave fiber optic link with suppression of fiber induced distortion | |
US6538789B2 (en) | Optical linearizer for fiber communications | |
CA2211923C (en) | Optical system employing near-incoherent processing for distortion correction | |
EP0792069B1 (en) | Cancellation of distortion components in a fiber optic link with feed-forward linearization | |
US7936997B2 (en) | Method and apparatus for low chirp transmitter for optical fiber communications | |
US9369205B2 (en) | Pluggable optical transmitter module for network optical transport system with distortion control | |
US5963352A (en) | Linearization enhanced operation of single-stage and dual-stage electro-optic modulators | |
US9698913B2 (en) | System and method for distortion correction in phase-encoded photonic links | |
AU709120B2 (en) | Modulated and depolarised optical signal transmission system | |
EP0804835B1 (en) | Multi-tone phase modulation for light wave communication system | |
US7010231B1 (en) | System and method of high-speed transmission and appropriate transmission apparatus | |
Kuo et al. | Erbium-doped fiber amplifier second-order distortion in analog links and electronic compensation | |
Wilson et al. | Predistortion of electroabsorption modulators for analog CATV systems at 1.55/spl mu/m | |
CA2143051C (en) | Method for the generation of ultra-short optical pulses | |
JPH1152314A (en) | Method for controlling chirp in modulation of optical signal and chirp control type light modulator | |
Bertelsmeier et al. | Linearization of broadband optical transmission systems by adaptive predistortion | |
Yu et al. | Linearization of 1.55-/spl mu/m electroabsorption modulated laser by distortion emulation and reversal for 77-channel CATV transmission | |
JP2005073275A (en) | Method and apparatus for reducing second-order distortion in optical communication | |
Trisno et al. | Video multicast using a VSB-AM external modulator at 1.5 mu m | |
Trisno et al. | ND: YAG light source and external modulator for a VSB‐AM video transmitter: A performance evaluation | |
Berceli et al. | Improvements in the transmission over optical links of broadband access networks | |
JPH06261005A (en) | Optical transmitter | |
Maurer et al. | Transmitter design alternatives for CATV distribution in FITL deployment | |
Tzeng | CATV/radio-on-fiber transport system based on direct modulation |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
AS | Assignment |
Owner name: LIGHTWAVE SOLUTIONS, INC., CALIFORNIA Free format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNORS:SUN, CHEN-KUO;ORAZI, RICHARD J.;PAPPERT, STEPHEN A.;REEL/FRAME:021625/0005 Effective date: 20030225 Owner name: CISCO SYSTEMS, INC., CALIFORNIA Free format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNOR:LIGHTWAVE SOLUTIONS, LLC;REEL/FRAME:021625/0029 Effective date: 20071115 Owner name: CISCO TECHNOLOGY, INC., CALIFORNIA Free format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNOR:CISCO SYSTEMS, INC.;REEL/FRAME:021625/0103 Effective date: 20080318 |
|
STCB | Information on status: application discontinuation |
Free format text: ABANDONED -- FAILURE TO RESPOND TO AN OFFICE ACTION |
|
AS | Assignment |
Owner name: SCIENTIFIC-ATLANTA, LLC, GEORGIA Free format text: CHANGE OF NAME;ASSIGNOR:SCIENTIFIC-ATLANTA, INC.;REEL/FRAME:052917/0513 Effective date: 20081205 |
|
AS | Assignment |
Owner name: SCIENTIFIC-ATLANTA, LLC, GEORGIA Free format text: CHANGE OF NAME;ASSIGNOR:SCIENTIFIC-ATLANTA, INC.;REEL/FRAME:052903/0168 Effective date: 20200227 |