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dc.contributor.authorSayeed, Akbar M.
Jones, Douglas L.
dc.creatorSayeed, Akbar M.
Jones, Douglas L.
dc.date.accessioned 2007-10-31T01:03:58Z
dc.date.available 2007-10-31T01:03:58Z
dc.date.issued 1995-12-20
dc.date.submitted 2004-01-09
dc.identifier.citation A. M. Sayeed and D. L. Jones, "Optimal Detection Using Bilinear Time Frequency and Time Scale Representations," IEEE Transactions on Signal Processing, 1995.
dc.identifier.urihttps://hdl.handle.net/1911/20324
dc.description Journal Paper
dc.description.abstract Bilinear 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 ad hoc 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.
dc.language.iso eng
dc.subjectquadratic signal representations
time-frequency representations
time-scale representations
dc.subject.otherTime Frequency and Spectral Analysis
dc.title Optimal Detection Using Bilinear Time Frequency and Time Scale Representations
dc.type Journal article
dc.citation.bibtexName article
dc.citation.journalTitle IEEE Transactions on Signal Processing
dc.date.modified 2004-01-22
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)
dc.subject.keywordquadratic signal representations
time-frequency representations
time-scale representations
dc.type.dcmi Text
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1109/78.476431


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    Publications by Rice Faculty and graduate students in digital signal processing.
  • ECE Publications [1278]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students

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