Time-varying polyspectra and reduced Wigner-Ville trispectrum

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Time-varying polyspectra and reduced Wigner-Ville trispectrum

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dc.contributor.author Boashash, Boualem
dc.contributor.author Ristic, Branko
dc.date.accessioned 2011-06-12T16:27:58Z
dc.date.available 2011-06-12T16:27:58Z
dc.date.issued 1992-07
dc.identifier.citation Proc. SPIE 1770, 268 (1992) en_US
dc.identifier.other doi:10.1117/12.130936
dc.identifier.uri http://hdl.handle.net/10576/10703
dc.description This is an extended paper on the topic of HOS and WVDs that relates time-frequency analysis to higher order spectra. (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). en_US
dc.description.abstract This paper consists of two parts. The first part reviews a class of higher-order Wigner-Ville distributions projected onto a single frequency axis. This class is referred to as polynomial Wigner-Ville distributions (PWVDs). For random processes, the expected value of PWVDs represent time-varying higher-order moment spectra. The second part defines and studies a particular member of a class of time-varying higher-order spectra based on PWVDs, namely a reduced Wigner-Ville trispectrum (RWVT). This novel time-frequency representation is shown to be a very efficient tool for analysis of FM signals affected by Gaussian amplitude modulation. In the paper, we present a statistical comparison of the RWVT and WVD based instantaneous frequency estimates for linear FM signals in absence and in presence of multiplicative noise. For multicomponent signals, the RWVT has to be re-defined and calculated in the full multi-lag domain. en_US
dc.language.iso en en_US
dc.publisher SPIE en_US
dc.subject time-frequency analysis en_US
dc.subject higher order spectra en_US
dc.subject polynomial Wigner-Ville distributions en_US
dc.subject TVHOS en_US
dc.subject time-varying higher order spectra en_US
dc.subject instantaneous frequency en_US
dc.subject FM signals en_US
dc.subject PWVD en_US
dc.subject Wigner-Ville Trispectrum en_US
dc.title Time-varying polyspectra and reduced Wigner-Ville trispectrum en_US
dc.type Article en_US

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