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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dc.contributor.author Boashash, Boualem
dc.date.accessioned 2011-06-05T07:37:30Z
dc.date.available 2011-06-05T07:37:30Z
dc.date.issued 1993
dc.identifier.citation Proc. SPIE 2027, 2 (1993) en_US
dc.identifier.other doi:10.1117/12.160425
dc.identifier.uri http://hdl.handle.net/10576/10700
dc.description A software package that calculates IF estimates and TFDs can be downloaded from the web site: www.time-frequency.net en_US
dc.description.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. en_US
dc.language.iso en en_US
dc.publisher SPIE en_US
dc.subject time-varying higher order spectra en_US
dc.subject TVHoS en_US
dc.subject linear FM signals en_US
dc.subject multiplicative noise en_US
dc.subject Polynomial WVD en_US
dc.subject cumulant Wigner-Ville tri-spectrum en_US
dc.subject time-frequency analysis en_US
dc.subject non-Gaussian processes en_US
dc.subject time-varying frequency en_US
dc.subject higher-order statistics en_US
dc.subject cross-terms en_US
dc.subject multi-linear time-frequency analysis en_US
dc.subject Ambiguity function en_US
dc.subject doppler-lag en_US
dc.subject cross-WVD en_US
dc.subject XWVD en_US
dc.subject instantaneous frequency en_US
dc.subject time-frequency distributions en_US
dc.subject polynomial TFDs en_US
dc.subject IF estimation en_US
dc.subject TFD design en_US
dc.subject Central Finite Difference en_US
dc.subject differentiating filter en_US
dc.subject higher-order TFDs en_US
dc.title Recent advances in nonstationary signal analysis: time-varying higher-order spectra and multilinear time-frequency signal analysis en_US
dc.type Article en_US

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