Time frequency signal analysis: Past, present and future trends

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Time frequency signal analysis: Past, present and future trends

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dc.contributor.author Boashash, B
dc.date.accessioned 2012-04-22T08:26:29Z
dc.date.available 2012-04-22T08:26:29Z
dc.date.issued 1996
dc.identifier.citation B. Boashash, "Time-Frequency Signal Analysis: Past, Present and Future Trends", in C. T. Leondes, editor, “Control and Dynamic Systems”, Academic Press, Vol. 78, pp. 1-69, 1996 en_US
dc.identifier.other doi: http://dx.doi.org/10.1016/S0090-5267(96)80049-1
dc.identifier.uri http://hdl.handle.net/10576/10816
dc.description This chapter includes a tutorial review of important issues in time-frequency analysis, and an overview of multi-linear representations.. (Additional details can be found in the comprehensive book on Time-Frequency Signal Analysis and Processing (see http://www.elsevier.com/locate/isbn/0080443354). In addition, 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 chapter is written to provide both an historical review of past work and an overview of recent advances in time-frequency signal analysis (TFSA). It is aimed at complementing the texts which appeared recently in [1], [2], [3] and [4]. The chapter is organised as follows. Section 1 discusses the need for time-frequency signal analysis, as opposed to either time or frequency analysis. Section 2 traces the early theoretical foundations of TFSA, which were laid prior to 1980. Section 3 covers the many faceted developments which occurred in TFSA in the 1980's and early 1990's. It covers bilinear or energetic time-frequency distributions (TFDs). Section 4 deals with a generalisation of bilinear TFDs to multilinear Polynomial TFDs. Section 5 provides a coverage of the Wigner- Ville trispectrum, which is a particular polynomial TFD, used for analysing Gaussian random amplitude modulated processes. In Section 6, some issues related to multicomponent signals and time-varying polyspectra are addressed. Section 7 is devoted to conclusions. 1.1 en_US
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.subject Time-Frequency Analysis en_US
dc.subject Instantaneous Frequency Estimation en_US
dc.subject Quadratic Time-Frequency Distributions en_US
dc.subject Analytic Signal en_US
dc.subject Time-Frequency filtering en_US
dc.subject Discrete Time-Frequency distributions en_US
dc.subject Time-Frequency resolution en_US
dc.subject Time-Frequency concentration en_US
dc.subject Time-Frequency synthesis en_US
dc.subject Time-Frequency Detection en_US
dc.subject Time-Frequency Classification en_US
dc.subject Time-Frequency Estimation en_US
dc.subject Radar en_US
dc.subject Communications en_US
dc.subject Diagnostics en_US
dc.subject Wigner-Ville trispectrum en_US
dc.subject polynomial TFDs en_US
dc.subject Random amplitude en_US
dc.subject non-stationary signals en_US
dc.subject TFSA en_US
dc.subject time-varying signals en_US
dc.subject filter-bank en_US
dc.subject uncertainty relationship en_US
dc.subject time-frequency plane en_US
dc.subject IPS en_US
dc.subject Hilbert transform en_US
dc.subject wideband TFD en_US
dc.subject bilinear TFD en_US
dc.subject constant Q filter en_US
dc.subject wavelet en_US
dc.subject Mellin transform en_US
dc.subject positivity en_US
dc.subject cross-terms en_US
dc.subject artifacts en_US
dc.subject interference terms en_US
dc.subject Linear FM en_US
dc.subject bilinear kernel en_US
dc.subject Polynomial WVD en_US
dc.subject Wigner-Ville distribution en_US
dc.subject quadratic FM en_US
dc.subject time-varying higher order spectra en_US
dc.subject higher order TFDs en_US
dc.subject Cumulant WVT en_US
dc.subject multiplicative noise en_US
dc.subject multicomponent signals en_US
dc.title Time frequency signal analysis: Past, present and future trends en_US
dc.type Book chapter en_US

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