Wideband time-frequency Weyl symbol and its generalization

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

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

5 Scopus citations

Abstract

We extend the work of Shenoy and Parks on the wideband Weyl correspondence. We define a wideband Weyl symbol (P0WS) in the time-frequency plane based on the Bertrand P0-distribution, and we study its properties, examples and possible applications. Using warping relations, we generalize the P0WS and the wide-band spreading function (WSF) to analyze systems producing dispersive time shifts. We provide properties and special cases (e.g. power and exponential) to demonstrate the importance of our generalization. The new generalized WSF provides a new interpretation of a system output as a weighted superposition of dispersive time-shifted versions of the signal. We provide application examples in analysis and detection to demonstrate the advantages of our new results for linear systems with group delay characteristics matched to the specific warping used.

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
Pages29-32
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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  • Cite this

    Iem, B. G., Papandreou-Suppappola, A., & Boudreaux-Bartels, G. F. (1998). Wideband time-frequency Weyl symbol and its generalization. In Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (pp. 29-32). IEEE.