Polynomial time-frequency distributions and time-varying higher order spectra: application to non-stationary signal analysis

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Polynomial time-frequency distributions and time-varying higher order spectra: application to non-stationary signal analysis

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Title: Polynomial time-frequency distributions and time-varying higher order spectra: application to non-stationary signal analysis
Author: Boashash, Boualem; Ristic, B
Abstract: The paper deals with analysis and time-frequency representation of multicomponent signals characterised by non-linear frequency variation in time. A certain type of higher-order time-frequency distribution, referred to as polynomial Wigner-Ville distribution, has been designed to achieve delta function concentration in the time-frequency plane for this class of signals. In the presence of multiplicative noise, the signals are treated as being random and we introduce time-varying higher-order spectra (TV-HOS) as ensemble averaged polynomial Wigner-Ville distributions. TV-HOS are shown to be natural tools for analysis of non-stationary random signals, and we demonstrate this in the context of FM signals affected by multiplicative noise.
Description: This is one of several conference papers that show the link between polynomial TFDs and TVHOS and the implications for non-stationary signal analysis.(The most recent upgrade of the original software package that calculates Time-Frequency Distributions and Instantaneous Frequency estimators can be downloaded from the web site: www.time-frequency.net. This was the first software developed in the field, and it was first released publicly in 1987 at the 1st ISSPA conference held in Brisbane, Australia., and then continuously updated).
URI: http://hdl.handle.net/10576/10705
Date: 1996-10

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