Analysis of polynomial FM signals corrupted by heavy-tailed noise

In this paper, we consider the analysis of polynomial FM signals corrupted by additive heavy-tailed noise. Standard time–frequency techniques fail to analyze such signals. For that, we propose here a new technique, named the robust polynomial Wigner-Ville distribution (r-PWVD) to handle this case. W...

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Bibliographic Details
Published in:Signal processing 2004, Vol.84 (1), p.69-75
Main Authors: Barkat, Braham, Stanković, LJubiša
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Impulsive noise
Information, signal and communications theory
Instantaneous frequency
Signal and communications theory
Signal representation. Spectral analysis
Signal, noise
Telecommunications and information theory
Time–frequency
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Summary:In this paper, we consider the analysis of polynomial FM signals corrupted by additive heavy-tailed noise. Standard time–frequency techniques fail to analyze such signals. For that, we propose here a new technique, named the robust polynomial Wigner-Ville distribution (r-PWVD) to handle this case. We show that this representation outperforms the robust Wigner-Ville distribution (r-WVD) and the robust spectrogram in terms of artifacts suppression and high time–frequency resolution for this class of signals. Also, we show that the peak of the r-PWVD is an accurate instantaneous frequency estimator. Examples and Monte-Carlo simulations are presented in order to validate and prove the performance of the proposed algorithm.
ISSN:0165-1684
1872-7557
DOI:10.1016/j.sigpro.2003.07.009