WO2002078197A3 - Sampling method, reconstruction method, and device for sampling and/or reconstructing signals - Google Patents

Sampling method, reconstruction method, and device for sampling and/or reconstructing signals Download PDF

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Publication number
WO2002078197A3
WO2002078197A3 PCT/EP2002/003380 EP0203380W WO02078197A3 WO 2002078197 A3 WO2002078197 A3 WO 2002078197A3 EP 0203380 W EP0203380 W EP 0203380W WO 02078197 A3 WO02078197 A3 WO 02078197A3
Authority
WO
WIPO (PCT)
Prior art keywords
sampling
signal
reconstruction method
reconstructing
reconstructing signals
Prior art date
Application number
PCT/EP2002/003380
Other languages
French (fr)
Other versions
WO2002078197A2 (en
Inventor
Martin Vetterli
Pina Marziliano
Thierry Blu
Original Assignee
Ecole Polytech
Martin Vetterli
Pina Marziliano
Thierry Blu
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by Ecole Polytech, Martin Vetterli, Pina Marziliano, Thierry Blu filed Critical Ecole Polytech
Priority to DE60215805T priority Critical patent/DE60215805D1/en
Priority to JP2002576312A priority patent/JP4081526B2/en
Priority to EP02718204A priority patent/EP1396085B1/en
Priority to AU2002249280A priority patent/AU2002249280A1/en
Publication of WO2002078197A2 publication Critical patent/WO2002078197A2/en
Priority to US10/680,833 priority patent/US7991095B2/en
Publication of WO2002078197A3 publication Critical patent/WO2002078197A3/en
Priority to US12/542,353 priority patent/US8160194B2/en
Priority to US12/814,616 priority patent/US8031820B2/en

Links

Classifications

    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B1/00—Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
    • H04B1/69—Spread spectrum techniques
    • H04B1/707—Spread spectrum techniques using direct sequence modulation
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M1/00—Analogue/digital conversion; Digital/analogue conversion
    • H03M1/12—Analogue/digital converters
    • H03M1/124—Sampling or signal conditioning arrangements specially adapted for A/D converters
    • H03M1/1245—Details of sampling arrangements or methods
    • H03M1/1285—Synchronous circular sampling, i.e. using undersampling of periodic input signals
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M1/00—Analogue/digital conversion; Digital/analogue conversion
    • H03M1/66—Digital/analogue converters
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04B—TRANSMISSION
    • H04B2201/00—Indexing scheme relating to details of transmission systems not covered by a single group of H04B3/00 - H04B13/00
    • H04B2201/69—Orthogonal indexing scheme relating to spread spectrum techniques in general
    • H04B2201/707—Orthogonal indexing scheme relating to spread spectrum techniques in general relating to direct sequence modulation
    • H04B2201/70707—Efficiency-related aspects

Abstract

Reconstruction method for reconstructing a first signal (x(t)) regularly sampled at a sub-Nyquist rate, comprising the step of retrieving from the regularly spaced sampled values (ys[n], y(nT)) a set of weights (cn, cnr, ck) and shifts (tn, tk) with which said first signal (x(t) can be reconstructed. The reconstructed signal (x(t) can be represented as a sequence of known functions (η(t) weighted by the weights (ck) and shifted by the shifts (tk). The sampling rate is at least equal to the rate of innovation (ς) of the first signal (x(t)).
PCT/EP2002/003380 2001-03-26 2002-03-26 Sampling method, reconstruction method, and device for sampling and/or reconstructing signals WO2002078197A2 (en)

Priority Applications (7)

Application Number Priority Date Filing Date Title
DE60215805T DE60215805D1 (en) 2001-03-26 2002-03-26 METHOD AND DEVICE FOR SIGNALING AND RECONSTRUCTING SIGNALS
JP2002576312A JP4081526B2 (en) 2001-03-26 2002-03-26 Sampling method, reconstruction method and apparatus for sampling and / or reconfiguring a signal
EP02718204A EP1396085B1 (en) 2001-03-26 2002-03-26 Sampling method, reconstruction method, and device for sampling and/or reconstructing signals
AU2002249280A AU2002249280A1 (en) 2001-03-26 2002-03-26 Sampling method, reconstruction method, and device for sampling and/or reconstructing signals
US10/680,833 US7991095B2 (en) 2001-03-26 2003-10-07 Sampling method, reconstruction method, and device for sampling and/or reconstructing signals
US12/542,353 US8160194B2 (en) 2001-03-26 2009-08-17 Sampling method, reconstruction method, and device for sampling and/or reconstructing signals
US12/814,616 US8031820B2 (en) 2001-03-26 2010-06-14 Sampling method, reconstruction method, and device for sampling and/or reconstructing signals

Applications Claiming Priority (4)

Application Number Priority Date Filing Date Title
EP01107530.6 2001-03-26
EP01107530 2001-03-26
EP01119537 2001-08-15
EP01119537.7 2001-08-15

Related Child Applications (3)

Application Number Title Priority Date Filing Date
US10680833 A-371-Of-International 2002-03-26
US10/680,833 Continuation US7991095B2 (en) 2001-03-26 2003-10-07 Sampling method, reconstruction method, and device for sampling and/or reconstructing signals
US12/542,353 Continuation US8160194B2 (en) 2001-03-26 2009-08-17 Sampling method, reconstruction method, and device for sampling and/or reconstructing signals

Publications (2)

Publication Number Publication Date
WO2002078197A2 WO2002078197A2 (en) 2002-10-03
WO2002078197A3 true WO2002078197A3 (en) 2003-12-24

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PCT/EP2002/003380 WO2002078197A2 (en) 2001-03-26 2002-03-26 Sampling method, reconstruction method, and device for sampling and/or reconstructing signals
PCT/EP2002/003390 WO2002078204A1 (en) 2001-03-26 2002-03-26 Sampling method for a spread spectrum communication system

Family Applications After (1)

Application Number Title Priority Date Filing Date
PCT/EP2002/003390 WO2002078204A1 (en) 2001-03-26 2002-03-26 Sampling method for a spread spectrum communication system

Country Status (7)

Country Link
US (4) US7991095B2 (en)
EP (2) EP1374434B1 (en)
JP (1) JP4081526B2 (en)
AT (1) ATE344548T1 (en)
AU (1) AU2002249280A1 (en)
DE (1) DE60215805D1 (en)
WO (2) WO2002078197A2 (en)

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US8031820B2 (en) 2011-10-04
EP1374434A1 (en) 2004-01-02
EP1396085B1 (en) 2006-11-02
US20100042374A1 (en) 2010-02-18
WO2002078197A2 (en) 2002-10-03
JP2004532550A (en) 2004-10-21
EP1374434B1 (en) 2016-02-24
US20070183535A1 (en) 2007-08-09
WO2002078204A1 (en) 2002-10-03
US8077757B2 (en) 2011-12-13
DE60215805D1 (en) 2006-12-14
US7991095B2 (en) 2011-08-02
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