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 Citations (Scopus)

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

Fingerprint

Group delay
Geometry

ASJC Scopus subject areas

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

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.

Properties and implementation of the exponential class of time-frequency representations. / Papandreou-Suppappola, Antonia; Iem, Byeong Gwan; Murray, Robin L.; Boudreaux-Bartels, G. Faye.

Conference Record of the Asilomar Conference on Signals, Systems and Computers. Vol. 1 IEEE, 1997. p. 237-241.

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

Papandreou-Suppappola, A, Iem, BG, Murray, RL & Boudreaux-Bartels, GF 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, IEEE, pp. 237-241, Proceedings of the 1996 30th Asilomar Conference on Signals, Systems & Computers. Part 2 (of 2), Pacific Grove, CA, USA, 11/3/96.
Papandreou-Suppappola A, Iem BG, Murray RL, Boudreaux-Bartels GF. 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. IEEE. 1997. p. 237-241
Papandreou-Suppappola, Antonia ; Iem, Byeong Gwan ; Murray, Robin L. ; Boudreaux-Bartels, G. Faye. / Properties and implementation of the exponential class of time-frequency representations. Conference Record of the Asilomar Conference on Signals, Systems and Computers. Vol. 1 IEEE, 1997. pp. 237-241
@inproceedings{f6c189ccbc754b64994399bcfe525b05,
title = "Properties and implementation of the exponential class of time-frequency representations",
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.",
author = "Antonia Papandreou-Suppappola and Iem, {Byeong Gwan} and Murray, {Robin L.} and Boudreaux-Bartels, {G. Faye}",
year = "1997",
language = "English (US)",
volume = "1",
pages = "237--241",
booktitle = "Conference Record of the Asilomar Conference on Signals, Systems and Computers",
publisher = "IEEE",

}

TY - GEN

T1 - Properties and implementation of the exponential class of time-frequency representations

AU - Papandreou-Suppappola, Antonia

AU - Iem, Byeong Gwan

AU - Murray, Robin L.

AU - Boudreaux-Bartels, G. Faye

PY - 1997

Y1 - 1997

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0030681915&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030681915&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0030681915

VL - 1

SP - 237

EP - 241

BT - Conference Record of the Asilomar Conference on Signals, Systems and Computers

PB - IEEE

ER -