Optimal Detection Using Bilinear Time Frequency and Time Scale Representations

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dc.citation.bibtexNamearticleen_US
dc.citation.journalTitleIEEE Transactions on Signal Processingen_US
dc.contributor.authorSayeed, Akbar M.en_US
dc.contributor.authorJones, Douglas L.en_US
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)en_US
dc.date.accessioned2007-10-31T01:03:58Zen_US
dc.date.available2007-10-31T01:03:58Zen_US
dc.date.issued1995-12-20en_US
dc.date.modified2004-01-22en_US
dc.date.submitted2004-01-09en_US
dc.descriptionJournal Paperen_US
dc.description.abstractBilinear time-frequency representations (TFRs) and time-scale representations (TSRs) are potentially very useful for detecting a nonstationary signal in the presence of nonstationary noise or interference. As quadratic signal representations, they are promising for situations in which the optimal detector is a quadratic function of the observations. All existing time-frequency formulations of quadratic detection either implement classical optimal detectors equivalently in the time-frequency domain, without fully exploiting the structure of the TFR, or attempt to exploit the nonstationary structure of the signal in an <i>ad hoc</i> manner. We identify several important nonstationary composite hypothesis testing scenarios for which TFR/TSR-based detectors provide a "natural" framework; that is, in which TFR/TSR-based detectors are both optimal and exploit the many degrees of freedom available in the TFR/TSR. We also derive explicit expressions for the corresponding optimal TFR/TSR kernels. As practical examples, we show that the proposed TFR/TSR detectors are directly applicable to many important radar/sonar detection problems. Finally, we also derive optimal TFR/TSR-based detectors which exploit only partial information available about the nonstationary structure of the signal.en_US
dc.identifier.citationA. M. Sayeed and D. L. Jones, "Optimal Detection Using Bilinear Time Frequency and Time Scale Representations," <i>IEEE Transactions on Signal Processing,</i> 1995.en_US
dc.identifier.doihttp://dx.doi.org/10.1109/78.476431en_US
dc.identifier.urihttps://hdl.handle.net/1911/20324en_US
dc.language.isoengen_US
dc.subjectquadratic signal representationsen_US
dc.subjecttime-frequency representationsen_US
dc.subjecttime-scale representationsen_US
dc.subject.keywordquadratic signal representationsen_US
dc.subject.keywordtime-frequency representationsen_US
dc.subject.keywordtime-scale representationsen_US
dc.subject.otherTime Frequency and Spectral Analysisen_US
dc.titleOptimal Detection Using Bilinear Time Frequency and Time Scale Representationsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
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