A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
Multiridge detection and time-frequency reconstruction
IEEE Transactions on Signal Processing
Polynomial Wigner-Ville distributions and their relationship totime-varying higher order spectra
IEEE Transactions on Signal Processing
Characterization of signals by the ridges of their wavelettransforms
IEEE Transactions on Signal Processing
Improved instantaneous frequency estimation using an adaptiveshort-time Fourier transform
IEEE Transactions on Signal Processing
Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies
IEEE Transactions on Information Theory - Part 2
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A new method is proposed in this article for fast-varying AM-FM components extraction. There are two prominent characteristics in this method. Firstly, a new evaluation method for the instantaneous bandwidth is established, which is based on the instantaneous slope of the time-frequency curve with respect to the AM-FM component. Secondly, a new adaptive STFT algorithm is established, which adjusts the window width by adapting to the instantaneous bandwidth at each frequency position. In order to extract multiple AM-FM components from a signal, the width of the reconstruction area is required to be determined efficiently to avoid the interference caused by adjacent components. Simulations are given in the end, which show that the proposed method has good performance for fast-varying AM-FM components extraction from noisy signals.