Analysis of polynomial FM signals corrupted by heavy-tailed noise

Braham Barkat, Ljubiša Stanković

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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.

Original languageBritish English
Pages (from-to)69-75
Number of pages7
JournalSignal Processing
Issue number1
StatePublished - Jan 2004


  • Impulsive noise
  • Instantaneous frequency
  • Time-frequency


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