Properties and implementation of the exponential class of time-frequency representations

Antonia Papandreou-Suppappola, Byeong Gwan Iem, Robin L. Murray, G. Faye Boudreaux-Bartels

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

3 Scopus citations

Abstract

Exponential class (EC) quadratic time-frequency representations (QTFRs) are well-suited for analyzing signals passing through exponentially dispersive systems. In this paper, we consider some important properties of EC QTFRs: a time-frequency concentration property along given group delay curves resulting in a localized-kernel subclass, and a time-shift covariance property resulting in the intersection of the EC with Cohen's class. We investigate several aspects of EC analysis important for practical applications. We study the time-frequency geometry of the exponential Wigner distribution, the central EC QTFR, and we investigate how to attenuate interference terms by means of smoothing. We also propose the implementation of EC QTFRs by warping affine class QTFRs, and we demonstrate the importance of the EC via simulation results.

Original languageEnglish (US)
Title of host publicationConference Record of the Asilomar Conference on Signals, Systems and Computers
PublisherIEEE
Pages237-241
Number of pages5
Volume1
StatePublished - 1997
Externally publishedYes
EventProceedings of the 1996 30th Asilomar Conference on Signals, Systems & Computers. Part 2 (of 2) - Pacific Grove, CA, USA
Duration: Nov 3 1996Nov 6 1996

Other

OtherProceedings of the 1996 30th Asilomar Conference on Signals, Systems & Computers. Part 2 (of 2)
CityPacific Grove, CA, USA
Period11/3/9611/6/96

ASJC Scopus subject areas

  • Hardware and Architecture
  • Signal Processing
  • Electrical and Electronic Engineering

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  • Cite this

    Papandreou-Suppappola, A., Iem, B. G., Murray, R. L., & Boudreaux-Bartels, G. F. (1997). Properties and implementation of the exponential class of time-frequency representations. In Conference Record of the Asilomar Conference on Signals, Systems and Computers (Vol. 1, pp. 237-241). IEEE.