Fundamentals of statistical signal processing: estimation theory
Fundamentals of statistical signal processing: estimation theory
Time-frequency analysis: theory and applications
Time-frequency analysis: theory and applications
Fast algorithms for weighted myriad computation by fixed-pointsearch
IEEE Transactions on Signal Processing
Estimation of chirp radar signals in compound-Gaussian clutter: acyclostationary approach
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Design of higher order polynomial Wigner-Ville distributions
IEEE Transactions on Signal Processing
Robust Wigner distribution with application to the instantaneousfrequency estimation
IEEE Transactions on Signal Processing
Adaptive robust impulse noise filtering
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
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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.