US2283575A - High frequency transmission system - Google Patents

High frequency transmission system Download PDF

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US2283575A
US2283575A US202826A US20282638A US2283575A US 2283575 A US2283575 A US 2283575A US 202826 A US202826 A US 202826A US 20282638 A US20282638 A US 20282638A US 2283575 A US2283575 A US 2283575A
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frequency
wave
phase
modulation
carrier
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US202826A
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Walter Van B Roberts
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RCA Corp
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RCA Corp
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Priority to GB11722/39A priority patent/GB527666A/en
Priority to DER105023D priority patent/DE713416C/en
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B14/00Transmission systems not characterised by the medium used for transmission
    • H04B14/002Transmission systems not characterised by the medium used for transmission characterised by the use of a carrier modulation
    • H04B14/006Angle modulation
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60CVEHICLE TYRES; TYRE INFLATION; TYRE CHANGING; CONNECTING VALVES TO INFLATABLE ELASTIC BODIES IN GENERAL; DEVICES OR ARRANGEMENTS RELATED TO TYRES
    • B60C19/00Tyre parts or constructions not otherwise provided for
    • B60C19/12Puncture preventing arrangements
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03CMODULATION
    • H03C1/00Amplitude modulation
    • H03C1/52Modulators in which carrier or one sideband is wholly or partially suppressed

Definitions

  • My present invention relates to double modulation systems of transmission and in particular to a system wherein each successive modulation affects the phase or frequency rather than the amplitude of the wave being modulated.
  • the object of the invention Vis to provide a carrier wave communication system wherein the carrier wave component is inherently absent or greatly reduced.
  • a subsidiary object is to pro-- vide a method for detecting waves modulated in accordance with the method of the invention.
  • Modulation methods are known in the art wherein the carrier wave is suppressed or balanced out in the modulator, or eliminated from the radiated spectrum by filtering methods.
  • each of these Bessels functions depends upon the angle through which the phase of the high frequency Wave is swung by the modulating wave.
  • modulation is to producean infinite series of side frequencies on each side of the frequency of the original high frequency wave, these side frequencies all being uniformly spaced at intervals equal to the modulation frequency.
  • the amplitudes of the side frequencies fall olf rather rapidly as one departs more than a certain distance on either side of the original or carrier frequency so that for all practical purposes the signalling energy resides within a nite band whose Width is determined by the amount of phase swing or depth of phase modulation employed. This band width is greater the deeper the phase modulation. It should be noted that in the case of constant modulation such as so far considered, there is no possible distinction betweenl phase and frequency modulation.
  • Jo the Bessels function of zero order, vanishes for a phase swing of approximately 2.4 radians and again at a value lying between 5 and 6 radians, and so on for a series of values which may readily be determined by reference t'o a ltable of Bessels functions. ⁇
  • I choose the amount of phase modulation of the high frequency wave as 2.4 radians or any one of the larger possible values that cause J0 to vanish, and thus obtain a radiated spectrum substantially lacking in energy at the carrier frequency.
  • the value 2.4 is chosen if the radiation is to be kept within as narrow a band as possible while one of the higher values is chosen if a wide band transmission is desired.
  • Figure l shows schematically the connections for producing waves modulated in accordance with my invention and for demodulating such waves
  • Figure 2 shows a modified-form of the system.
  • a source of high fre- Y quency wave energy I is connected to a phase modulating unit 3 whose output is connected to a utilization device 5 which may, for example, consist of'a transmitting antenna or a wire line.
  • the high frequency wave energy impressed upon modulator 3 is modulated in accordance with the output wave of phase or frequency modulator 4 to which'is supplied lower frequency energy from a source 2.
  • This lower frequency energy is Y frequency modulated in device 4 in accordance with signals impressed upon modulator 4 from a source of signalsshown at 6. In the absence of signals the lower frequency wave passes unalsignals, that is, just such a voltage as impressed upon modulator 3 from modulator 4 of the draw-V ing.
  • This lower frequency output is impressed upon a lower frequency selector system I0 whose output is in turn impressed upon a phase or frequency modulation detector II.
  • the type of detector here corresponds to the type of modulator in 4 whose output reproduces the original signals as provided by source 6 and which is connected to a utilization device I4 which may be for example, a loudspeaker. It will be understood throughout the foregoing that amplification may be added at any point throughout the modulating and demodulating circuits that may be necessary for providing a sufciently high output level in device I4.
  • the behavior of the detecting system may be summarized by saying that it is inverse to the modulation system, that is, the signals as first collected are converted to the lower frequency which carries in the form of frequency modulation the original signals. This frequency modulated lower frequency current is then detected to yield the original modulating signals.
  • Figure 2 is similar to Figure l in the Vhigh frequency waves from source I are modulated in the modulator 3 in accordance with lower frequencywaves provided by source 2 and the modulation is to one of the critical values described tered from source 2 through modulator 4 andY impressed In the presence of signalI livered to device 5 is altered not in relative amy plitudes but only in spacing between its components.
  • FIG. l shows an arrangement for receiving .the double modulated wave delivered to device 5.
  • a collector I which may be a receiving antenna in the case of radiatedt energy or the terminals of a wire line in case of wire transmission, collects the doubly modulated wave and impresses it upon a tuning or selective system 8 which is tuned to accept a sufficiently wide band of frequencies in the vicinity of the carrier frequency, The selected band of frequencies is passed from selector 8 and impressed upon a phase modulation detector 9.
  • the output of detector 9 consists of the lower frequency voltageV frequency modulated in accordance with above.
  • signal voltage from signal source 6 is used to modulate the amplitude of the output of modulator 3 by kimpressing both the output of modulator 3 and the output of source 6 upon an amplitude modulator I2 whose output is connected to a desired utilization device 5.
  • the output spectrum at 5 has components whose frequency separation is constant and whose relative amplitudes are constant but all of whose amplitudes are varied in accordance with the signalling voltage fromsource 6.
  • V The method of signalling Within a channel of given width which includes the steps of, varying the instantaneous frequency of a substantially constant amplitude auxiliary wave as a function of signal. voltage and utilizing said modulated auxiliary Wave to continuously vary the phase of a higher frequency wave between fixed limits of phase swing, the amplitude of said auxiliary Wave being such as to reduce to a negligible value at least one low order component of the resulting spectrum within said channel.
  • the method of signal transmission which ini cludes the steps of phase modulating a high frequency wave in accordance with a constant amplitude lower frequency wave to such a phase deviation as to eliminate energy at the carrier frequency from the radiated spectrum, varying a characteristic of the thus modulated high frequency wave in accordance with signals, transmitting the resulting spectrum, demodulating the phase modulated high frequency wave in accordance with its phase modulation to reproduce the signal Varied lower frequency wave, demodulating the lower frequency wave, and utilizing the resulting signals.
  • the method of modulating a high frequency carrier wave which includes generating an auxiliary wave, phase modulating said carrier Wave by said auxiliary wave to a phase deviation whose zero order Bessel function is substantially zero, and varying a characteristic of the resulting energy spectrum in accordance with signals to be transmitted.
  • the method of modulating a high frequency carrier tinuously varying the phaseof a high frequency carrier between fixed limits in accordance with the frequency modulated rsub-carrier of substantially constant amplitude, the amplitude of said sub-carrier being such as to reduce to a negligible value at least one low order component of the resulting spectrum within said channel and at the receiver means for deriving from the phase modulated high frequency carrier a frequency modulated sub-carrier wave, and means for deriving a signal from the frequency modulated subcarrier Wave.

Description

Patente-d May 19, 1942 HIGH FREQUENCY TRANSMISSION SYSTEM Walter van B. Roberts, Princeton, N. J., assignor to Radio Corporation of America, a corporation of Delaware Application April 19, 1938, Serial No. 202,826
(C1. 25o-s) 6 Claims.
My present invention relates to double modulation systems of transmission and in particular to a system wherein each successive modulation affects the phase or frequency rather than the amplitude of the wave being modulated.
The object of the invention Vis to provide a carrier wave communication system wherein the carrier wave component is inherently absent or greatly reduced. A subsidiary object is to pro-- vide a method for detecting waves modulated in accordance with the method of the invention.
Modulation methods are known in the art wherein the carrier wave is suppressed or balanced out in the modulator, or eliminated from the radiated spectrum by filtering methods.
However, signals transmitted in accordance with these known methods require lthat energy of f will appear upon further examination, this is quite a different thing from eliminating the carrier Wave from a spectrum to which it normally belongs and to which it must be returned before demodulation is possible.
In order fully to understand the operation of the invention it will be desirable to summarize briey the results of phase modulating a high frequency wave in accordance withia constant amplitude lower frequency wave of simple harmonic form. It is well known in such a case that the radiated spectrum includes in general components proportional to the various terms of the series In this expression w represents the angular frequency of the high frequency wave, p the angular frequency of the low frequency wave and the coe'icients J are Bessels functions of orders in- 50.
dicated by their subscripts. The value of each of these Bessels functions depends upon the angle through which the phase of the high frequency Wave is swung by the modulating wave.
modulation is to producean infinite series of side frequencies on each side of the frequency of the original high frequency wave, these side frequencies all being uniformly spaced at intervals equal to the modulation frequency. In practice, however, the amplitudes of the side frequencies fall olf rather rapidly as one departs more than a certain distance on either side of the original or carrier frequency so that for all practical purposes the signalling energy resides within a nite band whose Width is determined by the amount of phase swing or depth of phase modulation employed. This band width is greater the deeper the phase modulation. It should be noted that in the case of constant modulation such as so far considered, there is no possible distinction betweenl phase and frequency modulation. If we were to look upon the modulation here described as the result of swinging the instantaneous frequency of the high frequencyI wave in accordance with the lower frethe phase swing increases the J functions oscil- Y late about the value Zero so that each of the J functions vanishes for a certain characteristic series of values of phase swing. In particular,
Jo, the Bessels function of zero order, vanishes for a phase swing of approximately 2.4 radians and again at a value lying between 5 and 6 radians, and so on for a series of values which may readily be determined by reference t'o a ltable of Bessels functions.` Iny accordance with my invention I choose the amount of phase modulation of the high frequency wave as 2.4 radians or any one of the larger possible values that cause J0 to vanish, and thus obtain a radiated spectrum substantially lacking in energy at the carrier frequency. The value 2.4 is chosen if the radiation is to be kept within as narrow a band as possible while one of the higher values is chosen if a wide band transmission is desired.
Since the avoidance of any appreciable amount of transmitted carrier depends upon maintaining the amplitude of the lower frequency wave con- It will thus be seen that the result of such stant, signalling voltage, applied to the lower frequency wave prior to its employment to modulate the higher frequency wave, must modulate the lower frequency wave not in amplitude but only in phase or frequency. Means for phase and frequency modulating the lower frequency wave are well known and need not be described in detail. Since the modulation of the lower frequency wave does not vary its amplitude it will not affect the phase depth of modulation of the higher frequency wave and its only result is to spread apart or shrink together all the component frequencies of the radiated spectrum in accordance with the varying frequency of the lower frequency wave. The main point to be stressed is that regardless of the signal modulation the radiated energy is substantially free of any considerable concentration of energy at the carrier frequency.
Since my method of modulation and detecting arrangements for receiving signals modulated in accordance with my methodinay be carried out by connecting together in suitable relation units of equipment whose construction and operation are in themselves well known, I prefer to avoid unnecessarily lengthening the description of the various embodiments of my invention by indicating such component parts merely by rectangles. Hence in the appended drawing,
Figure l shows schematically the connections for producing waves modulated in accordance with my invention and for demodulating such waves;
Figure 2 shows a modified-form of the system.
Referring to Figure l a source of high fre- Y quency wave energy I is connected to a phase modulating unit 3 whose output is connected to a utilization device 5 which may, for example, consist of'a transmitting antenna or a wire line. The high frequency wave energy impressed upon modulator 3 is modulated in accordance with the output wave of phase or frequency modulator 4 to which'is supplied lower frequency energy from a source 2. This lower frequency energy is Y frequency modulated in device 4 in accordance with signals impressed upon modulator 4 from a source of signalsshown at 6. In the absence of signals the lower frequency wave passes unalsignals, that is, just such a voltage as impressed upon modulator 3 from modulator 4 of the draw-V ing. This lower frequency output is impressed upon a lower frequency selector system I0 whose output is in turn impressed upon a phase or frequency modulation detector II. The type of detector here corresponds to the type of modulator in 4 whose output reproduces the original signals as provided by source 6 and which is connected to a utilization device I4 which may be for example, a loudspeaker. It will be understood throughout the foregoing that amplification may be added at any point throughout the modulating and demodulating circuits that may be necessary for providing a sufciently high output level in device I4.
l The behavior of the detecting system may be summarized by saying that it is inverse to the modulation system, that is, the signals as first collected are converted to the lower frequency which carries in the form of frequency modulation the original signals. This frequency modulated lower frequency current is then detected to yield the original modulating signals.
Figure 2 is similar to Figure l in the Vhigh frequency waves from source I are modulated in the modulator 3 in accordance with lower frequencywaves provided by source 2 and the modulation is to one of the critical values described tered from source 2 through modulator 4 andY impressed In the presence of signalI livered to device 5 is altered not in relative amy plitudes but only in spacing between its components.
The remainder of Figure l shows an arrangement for receiving .the double modulated wave delivered to device 5. A collector I which may be a receiving antenna in the case of radiatedt energy or the terminals of a wire line in case of wire transmission, collects the doubly modulated wave and impresses it upon a tuning or selective system 8 which is tuned to accept a sufficiently wide band of frequencies in the vicinity of the carrier frequency, The selected band of frequencies is passed from selector 8 and impressed upon a phase modulation detector 9. The output of detector 9 consists of the lower frequency voltageV frequency modulated in accordance with above. However, instead of modulating the frequency of the lower frequency wave, signal voltage from signal source 6 is used to modulate the amplitude of the output of modulator 3 by kimpressing both the output of modulator 3 and the output of source 6 upon an amplitude modulator I2 whose output is connected to a desired utilization device 5. In this case the output spectrum at 5 has components whose frequency separation is constant and whose relative amplitudes are constant but all of whose amplitudes are varied in accordance with the signalling voltage fromsource 6.
Thereceiving arrangement for the modulation system of Figure 2 is correspondingly altered from that Vof Figure 1. The collection, selection, phase modulation detection, and lower frequency selection arrangements indicated by devices 1, 8, 5, IU are similar to the corresponding arrangements of Figure l but the nal detection of the lower frequency wave is made by an ordinary amplitude modulation detector i3 whose output is impressed upon 'a utilization circuit I4. It Will be seen that in both Figure 2 and Figure l the characteristic lack of any substantial amount of carrier frequency energy is maintained despite modulation in accordance with desired signals.
It will be understood that in case frequency multipliers are utilized in obtaining the phase modulated high frequencyV wave, the depth of phase modulation must always be such that the final frequency.` obtained by multiplication has its phase modulated by` one of the critical angles described so that in accordance with the invention there is relatively little energy in the radiated spectrum at the carrier frequency.
While I have shown specific steps which may be taken in accordance with the invention for providing a transmission system relatively free of carrier frequency energy, it will be understood that a low order component otherY than the carrier maybe reduced -or caused to vanish. As stated 'hereinbefore, each of Athe various J functions of expressionl.) vanishes for a certain characteristic series of values of phase swing and components other than the carrier orzeroorder component may be caused to vanish. In my method and means I propose to reduce or cause to vanish the carrier or other low order component such as, for example, the first or second order component, and the expression low order is hereby defined.
The invention may be practiced in many modied forms and I therefore do not wish to limit its scope except in accordance with the following claims.
I claim:
1. VThe method of signalling Within a channel of given width which includes the steps of, varying the instantaneous frequency of a substantially constant amplitude auxiliary wave as a function of signal. voltage and utilizing said modulated auxiliary Wave to continuously vary the phase of a higher frequency wave between fixed limits of phase swing, the amplitude of said auxiliary Wave being such as to reduce to a negligible value at least one low order component of the resulting spectrum within said channel.
2. The method of signal transmission which ini cludes the steps of phase modulating a high frequency wave in accordance with a constant amplitude lower frequency wave to such a phase deviation as to eliminate energy at the carrier frequency from the radiated spectrum, varying a characteristic of the thus modulated high frequency wave in accordance with signals, transmitting the resulting spectrum, demodulating the phase modulated high frequency wave in accordance with its phase modulation to reproduce the signal Varied lower frequency wave, demodulating the lower frequency wave, and utilizing the resulting signals.
3. In a high frequency signalling system, the method of modulating a high frequency carrier wave which includes generating an auxiliary wave, phase modulating said carrier Wave by said auxiliary wave to a phase deviation whose zero order Bessel function is substantially zero, and varying a characteristic of the resulting energy spectrum in accordance with signals to be transmitted.
.4. In a high frequency signalling system the method of modulating a high frequency carrier tinuously varying the phaseof a high frequency carrier between fixed limits in accordance with the frequency modulated rsub-carrier of substantially constant amplitude, the amplitude of said sub-carrier being such as to reduce to a negligible value at least one low order component of the resulting spectrum within said channel and at the receiver means for deriving from the phase modulated high frequency carrier a frequency modulated sub-carrier wave, and means for deriving a signal from the frequency modulated subcarrier Wave.
6. The method of. signalling by means of a high frequency carrier, an auxiliary wave of substantially constant amplitude and signal potentials which includes the steps of, modulating the wave length of said high frequency carrier by said auxiliary wave to produce a spectrum of frequencies corresponding to different orders of Bessels func-i tions, adjusting the amount of said modulation to a value at which one of said frequencies correspending to a low order one of said Bessels functions vanishes to thereby suppress from the said spectrum of frequencies one of its low order component frequencies and modulating the wave length of said auxiliary wave in accordance with said signal potentials. f
WALTER VAN B. ROBERTS.
US202826A 1938-04-19 1938-04-19 High frequency transmission system Expired - Lifetime US2283575A (en)

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GB11722/39A GB527666A (en) 1938-04-19 1939-04-18 Improvements in or relating to modulated carrier wave signalling systems
DER105023D DE713416C (en) 1938-04-19 1939-04-19 Method for signal transmission using phase-modulated vibrations

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US2492791A (en) * 1946-04-24 1949-12-27 Rca Corp Frequency shift telegraphy
US2508853A (en) * 1945-04-12 1950-05-23 Rca Corp Radio relaying
US2534111A (en) * 1946-12-10 1950-12-12 Gen Electric Wave conversion system for transmitters and receivers
US2579882A (en) * 1947-06-05 1951-12-25 Rca Corp Interference suppression in radio signaling systems
US2653221A (en) * 1949-12-01 1953-09-22 Zenith Radio Corp Suppressed carrier radio communication system
US2709218A (en) * 1945-03-06 1955-05-24 Leonide E Gabrilovitch Method and means for anti-jamming in radio
US2712598A (en) * 1951-05-21 1955-07-05 Patt Elavathur Sub Viswanathan Wireless broadcasting systems
US2852606A (en) * 1952-09-17 1958-09-16 Curry Paul Electrical communication systems and method of transmitting energy
US3147437A (en) * 1962-03-13 1964-09-01 Robertshaw Controls Co Single side band radio carrier retrieval system
EP0111937A2 (en) * 1982-12-22 1984-06-27 Nec Corporation Privacy signal transmission system
US6049706A (en) * 1998-10-21 2000-04-11 Parkervision, Inc. Integrated frequency translation and selectivity
US6061551A (en) * 1998-10-21 2000-05-09 Parkervision, Inc. Method and system for down-converting electromagnetic signals
US6061555A (en) * 1998-10-21 2000-05-09 Parkervision, Inc. Method and system for ensuring reception of a communications signal
US6091940A (en) * 1998-10-21 2000-07-18 Parkervision, Inc. Method and system for frequency up-conversion
US20010027561A1 (en) * 1998-11-30 2001-10-04 Microsoft Corporation Video on demand methods and systems
US6370371B1 (en) 1998-10-21 2002-04-09 Parkervision, Inc. Applications of universal frequency translation
US6542722B1 (en) 1998-10-21 2003-04-01 Parkervision, Inc. Method and system for frequency up-conversion with variety of transmitter configurations
US6560301B1 (en) 1998-10-21 2003-05-06 Parkervision, Inc. Integrated frequency translation and selectivity with a variety of filter embodiments
US20030181189A1 (en) * 1999-04-16 2003-09-25 Sorrells David F. Method and apparatus for reducing DC offsets in communication systems using universal frequency translation technology
US6694128B1 (en) 1998-08-18 2004-02-17 Parkervision, Inc. Frequency synthesizer using universal frequency translation technology
US6704558B1 (en) 1999-01-22 2004-03-09 Parkervision, Inc. Image-reject down-converter and embodiments thereof, such as the family radio service
US6704549B1 (en) 1999-03-03 2004-03-09 Parkvision, Inc. Multi-mode, multi-band communication system
US20040185901A1 (en) * 2003-03-18 2004-09-23 Tdk Corporation Electronic device for wireless communications and reflector device for wireless communication cards
US6813485B2 (en) 1998-10-21 2004-11-02 Parkervision, Inc. Method and system for down-converting and up-converting an electromagnetic signal, and transforms for same
US6873836B1 (en) 1999-03-03 2005-03-29 Parkervision, Inc. Universal platform module and methods and apparatuses relating thereto enabled by universal frequency translation technology
US6963734B2 (en) 1999-12-22 2005-11-08 Parkervision, Inc. Differential frequency down-conversion using techniques of universal frequency translation technology
US6975848B2 (en) 2002-06-04 2005-12-13 Parkervision, Inc. Method and apparatus for DC offset removal in a radio frequency communication channel
US7006805B1 (en) 1999-01-22 2006-02-28 Parker Vision, Inc. Aliasing communication system with multi-mode and multi-band functionality and embodiments thereof, such as the family radio service
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US2709218A (en) * 1945-03-06 1955-05-24 Leonide E Gabrilovitch Method and means for anti-jamming in radio
US2508853A (en) * 1945-04-12 1950-05-23 Rca Corp Radio relaying
US2492791A (en) * 1946-04-24 1949-12-27 Rca Corp Frequency shift telegraphy
US2534111A (en) * 1946-12-10 1950-12-12 Gen Electric Wave conversion system for transmitters and receivers
US2579882A (en) * 1947-06-05 1951-12-25 Rca Corp Interference suppression in radio signaling systems
US2653221A (en) * 1949-12-01 1953-09-22 Zenith Radio Corp Suppressed carrier radio communication system
US2712598A (en) * 1951-05-21 1955-07-05 Patt Elavathur Sub Viswanathan Wireless broadcasting systems
US2852606A (en) * 1952-09-17 1958-09-16 Curry Paul Electrical communication systems and method of transmitting energy
US3147437A (en) * 1962-03-13 1964-09-01 Robertshaw Controls Co Single side band radio carrier retrieval system
EP0111937A2 (en) * 1982-12-22 1984-06-27 Nec Corporation Privacy signal transmission system
EP0111937A3 (en) * 1982-12-22 1987-01-21 Nec Corporation Privacy signal transmission system
AU582532B2 (en) * 1982-12-22 1989-04-06 Nec Corporation Privacy signal transmission system
US6694128B1 (en) 1998-08-18 2004-02-17 Parkervision, Inc. Frequency synthesizer using universal frequency translation technology
US6813485B2 (en) 1998-10-21 2004-11-02 Parkervision, Inc. Method and system for down-converting and up-converting an electromagnetic signal, and transforms for same
US7937059B2 (en) 1998-10-21 2011-05-03 Parkervision, Inc. Converting an electromagnetic signal via sub-sampling
US6091940A (en) * 1998-10-21 2000-07-18 Parkervision, Inc. Method and system for frequency up-conversion
US6266518B1 (en) 1998-10-21 2001-07-24 Parkervision, Inc. Method and system for down-converting electromagnetic signals by sampling and integrating over apertures
US7308242B2 (en) 1998-10-21 2007-12-11 Parkervision, Inc. Method and system for down-converting and up-converting an electromagnetic signal, and transforms for same
US6353735B1 (en) 1998-10-21 2002-03-05 Parkervision, Inc. MDG method for output signal generation
US6370371B1 (en) 1998-10-21 2002-04-09 Parkervision, Inc. Applications of universal frequency translation
US6421534B1 (en) 1998-10-21 2002-07-16 Parkervision, Inc. Integrated frequency translation and selectivity
US6542722B1 (en) 1998-10-21 2003-04-01 Parkervision, Inc. Method and system for frequency up-conversion with variety of transmitter configurations
US6560301B1 (en) 1998-10-21 2003-05-06 Parkervision, Inc. Integrated frequency translation and selectivity with a variety of filter embodiments
US6580902B1 (en) 1998-10-21 2003-06-17 Parkervision, Inc. Frequency translation using optimized switch structures
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