Simple covariance-based characterization of joint signal representations of arbitrary variables

Akbar M. Sayeed, Douglas L Jones

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Joint signal representations of arbitrary variables extend the scope of joint time-frequency representations, and provide a useful description for a wide variety of nonstationary signal characteristics. Cohen's marginal-based theory for bilinear representations is canonical from a distributional viewpoint, whereas, from other perspectives, such as characterization of the effect of unitary signal transformations of interest, a covariance-based formulation is needed and more attractive. In this paper, we present a simple covariance-based characterization of bilinear joint signal representations of arbitrary variables. The formulation is high-lighted by its simple structure and interpretation, and naturally extends the concept of the corresponding linear representations.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
PublisherIEEE
Pages433-436
Number of pages4
StatePublished - 1996
EventProceedings of the 1996 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Paris, Fr
Duration: Jun 18 1996Jun 21 1996

Other

OtherProceedings of the 1996 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
CityParis, Fr
Period6/18/966/21/96

ASJC Scopus subject areas

  • Engineering(all)

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