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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dc.contributor.author Boashash, Boualem
dc.contributor.author Ristic, B
dc.date.accessioned 2011-06-12T16:41:39Z
dc.date.available 2011-06-12T16:41:39Z
dc.date.issued 1996-10
dc.identifier.citation IEEE International Conference on Systems, Man, and Cybernetics, 1996, Volume : 4, page(s): 2751 en_US
dc.identifier.other Digital Object Identifier : 10.1109/ICSMC.1996.561375
dc.identifier.other INSPEC Accession Number: 5496338
dc.identifier.uri http://hdl.handle.net/10576/10705
dc.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). en_US
dc.description.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. en_US
dc.language.iso en en_US
dc.publisher IEEE en_US
dc.subject FM signals en_US
dc.subject delta function concentration en_US
dc.subject ensemble averaged polynomial Wigner-Ville distributions en_US
dc.subject multicomponent signals en_US
dc.subject multiplicative noise en_US
dc.subject nonlinear frequency variation en_US
dc.subject nonstationary signal analysis en_US
dc.subject polynomial time-frequency distributions en_US
dc.subject time-frequency plane en_US
dc.subject time-varying higher order spectra en_US
dc.subject time-frequency analysis en_US
dc.subject polynomial TFDs en_US
dc.subject TFSA en_US
dc.subject instantaneous frequency en_US
dc.title Polynomial time-frequency distributions and time-varying higher order spectra: application to non-stationary signal analysis en_US
dc.type Article en_US

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