Exponential class and generalized time-shift covariant quadratic time-frequency representations

Antonia Papandreou-Suppappola, G. Faye Boudreaux-Bartels

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

10 Scopus citations

Abstract

We propose the new exponential class of quadratic time-frequency representations (QTFRs) covariant to constant shifts in frequency and dispersive, exponential shifts in time. We obtain the exponential class from the two covariance properties it satisfies, and also by warping the affine class of scale and constant time-shift covariant QTFRs. We develop the class formulation, kernel constraints for desirable properties, new QTFR members, and the intersection of the exponential class with Cohen's class. We also propose QTFR classes that are covariant to generalized time-shifts according to arbitrary group delay functions. We obtain these classes from known QTFR classes (such as Cohen's class, the affine class, the hyperbolic class, and the power classes) using a generalized transformation based on the desirable group delay time-shift covariance.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
Place of PublicationPiscataway, NJ, United States
PublisherIEEE
Pages429-432
Number of pages4
StatePublished - 1996
Externally publishedYes
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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    Papandreou-Suppappola, A., & Boudreaux-Bartels, G. F. (1996). Exponential class and generalized time-shift covariant quadratic time-frequency representations. In Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (pp. 429-432). IEEE.