Recent advances in nonstationary signal analysis: time-varying higher-order spectra and multilinear time-frequency signal analysis

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Recent advances in nonstationary signal analysis: time-varying higher-order spectra and multilinear time-frequency signal analysis

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Title: Recent advances in nonstationary signal analysis: time-varying higher-order spectra and multilinear time-frequency signal analysis
Author: Boashash, Boualem
Abstract: This paper is written to provide both a historical review of past work and an overview of recent advances in time-frequency signal analysis and time-varying higher-order spectra. The paper is organized as follows: Section 1 discusses the need for time-frequency signal analysis (TFSA), as opposed to either time or frequency analysis. Section 2 covers the many faceted developments which occurred in TFSA in the 1980s and early 1990s. It covers bilinear or energetic time-frequency distributions (TFDs). Section 3 deals with a generalization of bilinear TFDs to multilinear Polynomial TFDs and their relationship to time-varying higher order spectra (TVHOS). Section 4 provides a coverage of the Wigner-Ville trispectrum, which is a particular TVHOS, used for analyzing signals affected by Gaussian multiplicative noise. Section 5 is devoted to conclusions.
Description: A software package that calculates IF estimates and TFDs can be downloaded from the web site: www.time-frequency.net
URI: http://hdl.handle.net/10576/10700
Date: 1993

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