Efficient phase estimation for the classification of digitally phase modulated signals using the cross-WVD: a performance evaluation and comparison with the S-transform

Mei, Chee Yen, Sha'ameri, Ahmad Zuri and Boashash, Boualem (2012) Efficient phase estimation for the classification of digitally phase modulated signals using the cross-WVD: a performance evaluation and comparison with the S-transform. Eurasip Journal On Advances in Signal Processing, 65 1-22. doi:10.1186/1687-6180-2012-65


Author Mei, Chee Yen
Sha'ameri, Ahmad Zuri
Boashash, Boualem
Title Efficient phase estimation for the classification of digitally phase modulated signals using the cross-WVD: a performance evaluation and comparison with the S-transform
Journal name Eurasip Journal On Advances in Signal Processing   Check publisher's open access policy
ISSN 1687-6180
1687-6180
Publication date 2012
Sub-type Article (original research)
DOI 10.1186/1687-6180-2012-65
Open Access Status DOI
Volume 65
Start page 1
End page 22
Total pages 22
Place of publication Heidelberg, Germany
Publisher SpringerOpen
Collection year 2013
Language eng
Abstract This article presents a novel algorithm based on the cross-Wigner-Ville Distribution (XWVD) for optimum phase estimation within the class of phase shift keying signals. The proposed method is a special case of the general class of cross time-frequency distributions, which can represent the phase information for digitally phase modulated signals, unlike the quadratic time-frequency distributions. An adaptive window kernel is proposed where the window is adjusted using the localized lag autocorrelation function to remove most of the undesirable duplicated terms. The method is compared with the S-transform, a hybrid between the short-time Fourier transform and wavelet transform that has the property of preserving the phase of the signals as well as other key signal characteristics. The peak of the time-frequency representation is used as an estimator of the instantaneous information bearing phase. It is shown that the adaptive windowed XWVD (AW-XWVD) is an optimum phase estimator as it meets the Cramer-Rao Lower Bound (CRLB) at signal-to-noise ratio (SNR) of 5 dB for both binary phase shift keying and quadrature phase shift keying. The 8 phase shift keying signal requires a higher threshold of about 7 dB. In contrast, the S-transform never meets the CRLB for all range of SNR and its performance depends greatly on the signal’s frequency. On the average, the difference in the phase estimate error between the transform estimate and the CRLB is approximately 20 dB. In terms of symbol error rate, the AW-XWVD outperforms the S-transform and it has a performance comparable to the conventional detector. Thus, the AW-XWVD is the preferred phase estimator as it clearly outperforms the S-transform.
Keyword Adaptive windowed cross Wigner-Ville distribution
Optimum phase estimator
Instantaneous information bearing phase
Phase Shift Keying
S-transform
Cramer-Rao lower bound
Time-frequency analysis
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: UQ Centre for Clinical Research Publications
Official 2013 Collection
 
Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 1 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 5 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Mon, 21 May 2012, 22:35:50 EST by System User on behalf of UQ Centre for Clinical Research