Measuring Time-Frequency Information Content using the Renyi Entropies

dc.citation.bibtexNamearticleen_US
dc.citation.firstpage1391en_US
dc.citation.issueNumber4en_US
dc.citation.journalTitleIEEE Transactions on Information Theoryen_US
dc.citation.lastpage1409en_US
dc.citation.volumeNumber47en_US
dc.contributor.authorBaraniuk, Richard G.en_US
dc.contributor.authorFlandrin, Patricken_US
dc.contributor.authorJanssen, A. J. E. M.en_US
dc.contributor.authorMichel, Olivieren_US
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)en_US
dc.date.accessioned2007-10-31T00:36:23Zen_US
dc.date.available2007-10-31T00:36:23Zen_US
dc.date.issued2001-05-01en_US
dc.date.modified2006-07-24en_US
dc.date.submitted2006-06-06en_US
dc.descriptionJournal Paperen_US
dc.description.abstractThe generalized entropies of Renyi inspire new measures for estimating signal information and complexity in the time-frequency plane. When applied to a time-frequency representation (TFR) from Cohen's class or the affine class, the Renyi entropies conform closely to the notion of complexity that we use when visually inspecting time-frequency images. These measures possess several additional interesting and useful properties, such as accounting and cross-component and transformation invariances, that make them natural for time-frequency analysis. This paper comprises a detailed study of the properties and several potential applications of the Renyi entropies, with emphasis on the mathematical foundations for quadratic TFRs. In particular, for the Wigner distribution, we establish that there exist signals for which the measures are not well defined.en_US
dc.identifier.citationR. G. Baraniuk, P. Flandrin, A. J. E. M. Janssen and O. Michel, "Measuring Time-Frequency Information Content using the Renyi Entropies," <i>IEEE Transactions on Information Theory,</i> vol. 47, no. 4, 2001.en_US
dc.identifier.doihttp://dx.doi.org/10.1109/18.923723en_US
dc.identifier.urihttps://hdl.handle.net/1911/19716en_US
dc.language.isoengen_US
dc.subjecttime-frequencyen_US
dc.subject.keywordtime-frequencyen_US
dc.subject.otherTime Frequency and Spectral Analysisen_US
dc.titleMeasuring Time-Frequency Information Content using the Renyi Entropiesen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
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