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dc.contributor.authorSayeed, Akbar M.
Jones, Douglas L.
dc.creatorSayeed, Akbar M.
Jones, Douglas L. 2007-10-31T01:04:09Z 2007-10-31T01:04:09Z 1996-12-20 1996-12-20
dc.description Conference Paper
dc.description.abstract Joint signal representations (JSRs) of arbitrary variables generalize time-frequency representations (TFRs) to a much broader class of nonstationary signal characteristics. Two main distributional approaches to JSRs of arbitrary variables have been proposed by Cohen and Baraniuk. Cohen's method is a direct extension of his original formulation of TFRs, and Baraniuk's approach is based on a group theoretic formulation; both use the powerful concept of associating variables with operators. One of the main results of the paper is that despite their apparent differences, the two approaches to generalized JSRs are completely equivalent. Remarkably, the JSRs of the two methods are simply related via axis warping transformations, with the broad implication that JSRs with radically different covariance properties can be generated efficiently from JSRs of Cohen's method via simple pre- and post-processing. The development in this paper, illustrated with examples, also illuminates other related issues in the theory of generalized JSRs. In particular, we derive an explicit relationship between the Hermitian operators in Cohen's method and the unitary operators in Baraniuk's approach, thereby establishing the relationship between the two types of operator correspondences.
dc.language.iso eng
dc.subject.otherTime Frequency and Spectral Analysis
dc.title Equivalence of Generalized Joint Signal Representations of Arbitrary Variables
dc.type Conference paper 2004-01-09
dc.citation.bibtexName inproceedings 2004-01-22
dc.contributor.orgDigital Signal Processing (
dc.citation.conferenceName IEEE Transactions on Signal Processing
dc.type.dcmi Text
dc.type.dcmi Text
dc.identifier.citation A. M. Sayeed and D. L. Jones, "Equivalence of Generalized Joint Signal Representations of Arbitrary Variables," 1996.

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  • DSP Publications [508]
    Publications by Rice Faculty and graduate students in digital signal processing.
  • ECE Publications [1474]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students

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