Autoregressive modeling of the Wigner-Ville distribution based on signal decomposition and modified group delay

Authors:
Malini B. Nayak;S. V. Narasimhan
Affiliations:
Infineon Technologies India Pvt. Ltd., 10th floor, Discoverer Building, International Tech Park, Bangalore 560066, India and Department of Electronics and Communication Engineering, National Insti ...;Signal Processing and Telemetry Group, Aerospace Electronics and Systems Division, National Aerospace Laboratory, Bangalore 560017, India
Venue:
Signal Processing - Special issue on independent components analysis and beyond
Year:
2004

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Abstract

An autoregressive modeling of the Wigner-Ville distribution (WVD), based on signal decomposition (SD) by a perfect reconstruction filter bank (PRFB) and the modified magnitude group delay function (MMGD), has been proposed. The SD and MMGD, respectively, reduce the existence of crossterms (without any time smoothing) and the Gibb's ripple effect (due to truncation of the WVD kernel, without applying any window), significantly. In view of this, the modeling is not affected by either the crossterms or the Gibb's ripple and the window that would have been used. The proposed method represents actual time-frequency information parsimoniously and compared to the existing WVD modeling methods, its performance is significantly better in terms of both time and frequency resolution (as there is no time and frequency smoothing) and noise immunity/variance and is computationally efficient.