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Adaptive windowed cross Wigner–Ville distribution as an optimum phase estimator for PSK signals

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Title: Adaptive windowed cross Wigner–Ville distribution as an optimum phase estimator for PSK signals
Authors: Chee, Yen Mei est26cym@yahoo.com, Shaʼameri, Ahmad Zuri1 zuri@fke.utm.my
Source: Digital Signal Processing. Jan2013, Vol. 23 Issue 1, p289-301. 13p.
Subjects: Adaptive signal processing, Phase shift keying, Time-frequency analysis, Distribution (Probability theory), Signal frequency estimation, Autocorrelation (Statistics), Information theory
Abstract: Abstract: Cross time–frequency distribution (XTFD), unlike the quadratic time–frequency distribution (QTFD), can represent phase information for phase shift keying (PSK) signals such as binary phase shift keying (BPSK) and quadrature phase shift keying (QPSK). However, it suffers from interference due to duplicated terms that cause inaccuracy in the phase estimate. Thus, a time-dependent lag window is proposed in this article where the window width is adaptively adjusted according to the localized lag autocorrelation function (LLAC). This adaptive windowed cross Wigner–Ville distribution (AWXWVD) is proven capable to remove most of the duplicated terms. The instantaneous information bearing phase (IIB-phase) is then estimated from the peak of the cross time–frequency representation (XTFR). Simulation results show that the AWXWVD is an optimum phase estimator as it meets the Cramer–Rao lower bound (CRLB) at and for BPSK and QPSK signals respectively. The AWXWVD also outperforms the conventional IQ demodulator as a phase estimator with difference in the IIB-phase variance of about 5 dB. [Copyright &y& Elsevier]
Copyright of Digital Signal Processing is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Adaptive windowed cross Wigner–Ville distribution as an optimum phase estimator for PSK signals
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  Data: <searchLink fieldCode="AR" term="%22Chee%2C+Yen+Mei%22">Chee, Yen Mei</searchLink><i> est26cym@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Shaʼameri%2C+Ahmad+Zuri%22">Shaʼameri, Ahmad Zuri</searchLink><relatesTo>1</relatesTo><i> zuri@fke.utm.my</i>
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  Data: <searchLink fieldCode="JN" term="%22Digital+Signal+Processing%22">Digital Signal Processing</searchLink>. Jan2013, Vol. 23 Issue 1, p289-301. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Adaptive+signal+processing%22">Adaptive signal processing</searchLink><br /><searchLink fieldCode="DE" term="%22Phase+shift+keying%22">Phase shift keying</searchLink><br /><searchLink fieldCode="DE" term="%22Time-frequency+analysis%22">Time-frequency analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Signal+frequency+estimation%22">Signal frequency estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Autocorrelation+%28Statistics%29%22">Autocorrelation (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Information+theory%22">Information theory</searchLink>
– Name: Abstract
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  Data: Abstract: Cross time–frequency distribution (XTFD), unlike the quadratic time–frequency distribution (QTFD), can represent phase information for phase shift keying (PSK) signals such as binary phase shift keying (BPSK) and quadrature phase shift keying (QPSK). However, it suffers from interference due to duplicated terms that cause inaccuracy in the phase estimate. Thus, a time-dependent lag window is proposed in this article where the window width is adaptively adjusted according to the localized lag autocorrelation function (LLAC). This adaptive windowed cross Wigner–Ville distribution (AWXWVD) is proven capable to remove most of the duplicated terms. The instantaneous information bearing phase (IIB-phase) is then estimated from the peak of the cross time–frequency representation (XTFR). Simulation results show that the AWXWVD is an optimum phase estimator as it meets the Cramer–Rao lower bound (CRLB) at and for BPSK and QPSK signals respectively. The AWXWVD also outperforms the conventional IQ demodulator as a phase estimator with difference in the IIB-phase variance of about 5 dB. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Digital Signal Processing is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.dsp.2012.06.017
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      – Code: eng
        Text: English
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        PageCount: 13
        StartPage: 289
    Subjects:
      – SubjectFull: Adaptive signal processing
        Type: general
      – SubjectFull: Phase shift keying
        Type: general
      – SubjectFull: Time-frequency analysis
        Type: general
      – SubjectFull: Distribution (Probability theory)
        Type: general
      – SubjectFull: Signal frequency estimation
        Type: general
      – SubjectFull: Autocorrelation (Statistics)
        Type: general
      – SubjectFull: Information theory
        Type: general
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      – TitleFull: Adaptive windowed cross Wigner–Ville distribution as an optimum phase estimator for PSK signals
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            NameFull: Chee, Yen Mei
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            NameFull: Shaʼameri, Ahmad Zuri
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              Text: Jan2013
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              Y: 2013
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