New higher order affine time-frequency representations

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

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

1 Scopus citations

Abstract

In the same spirit that the quadratic Wigner distribution and the Altes-Marinovic Q-distribution were extended to higher order time-frequency representations, we propose the new higher order Bertrand P0-distribution (HO-P0D), as an extension of the quadratic Bertrand P0-distribution. We show that the new HO-P0D preserves scale changes, and up to a known sign, constant time and hyperbolic time shifts on the signal. We also discuss the importance of the new HO-P0D, derive some of its desirable properties, discuss its limitations, and derive a higher order class consisting of smoothed HO-P0Ds. Finally, we propose a formulation for a higher order extension of the quadratic affine class which preserves scale changes and constant time shifts.

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
Pages325-328
Number of pages4
StatePublished - 1998
Externally publishedYes
EventProceedings of the 1998 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Pittsburgh, PA, USA
Duration: Oct 6 1998Oct 9 1998

Other

OtherProceedings of the 1998 IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
CityPittsburgh, PA, USA
Period10/6/9810/9/98

ASJC Scopus subject areas

  • Engineering(all)

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