The relationship between instantaneous frequency and time-frequency representations

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The relationship between instantaneous frequency and time-frequency representations

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dc.contributor.author Lovell, B.C.
dc.contributor.author Williamson, R.C.
dc.contributor.author Boashash, Boualem
dc.date.accessioned 2011-07-26T04:46:02Z
dc.date.available 2011-07-26T04:46:02Z
dc.date.issued 1993-03
dc.identifier.citation IEEE Transactions on Signal Processing, Volume : 41 , Issue:3, page(s): 1458 en_US
dc.identifier.issn 1053-587X
dc.identifier.uri http://hdl.handle.net/10576/10719
dc.description This old paper records some relationships between TFDs and IF; for a complete treatment, see the review paper on instantaneous frequency by Boashash in Proceedings of IEEE; 1992. (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 relationship between instantaneous frequency estimation based on the derivative of the phase of the analytic signal and the first moment of the general time-frequency representation from Cohen's (1989) class is given in the continuous- and discrete-time domains. Application of the standard linear definition of first moment to discrete-time-frequency representations leads to biased instantaneous frequency estimators with high variance. To correct this problem, it is shown that periodic (circular) definitions of moments must be used to account for the periodization of the frequency variable due to sampling. en_US
dc.description.sponsorship IEEE Signal Processing Society en_US
dc.language.iso en en_US
dc.publisher IEEE en_US
dc.subject time-frequency analysis en_US
dc.subject analytic signal en_US
dc.subject circular definitions en_US
dc.subject continuous time domain en_US
dc.subject discrete-time domains en_US
dc.subject first moment en_US
dc.subject frequency variable en_US
dc.subject instantaneous frequency estimation en_US
dc.subject periodic definitions en_US
dc.subject sampling en_US
dc.subject time-frequency representation en_US
dc.subject time-frequency signal processing en_US
dc.title The relationship between instantaneous frequency and time-frequency representations en_US
dc.type Article en_US

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