New time-frequency representations: Higher order warped Wigner distributions

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

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

Abstract

We propose a new higher order time-frequency representation (TFR), the higher order generalized warped Wigner distribution (HOG-WD), by warping the higher order Wigner distribution. The HOG-WD is important for analyzing signals with dispersive instantaneous frequency characteristics. In this paper, we (i) provide a HOG-WD formulation, (ii) give important special cases of the HOG-WD based on different warpings, (iii) discuss alternative HOG-WD formulations in terms of a 1-D generalized transform and in terms of a generalized higher order ambiguity function, (iv) discuss some desirable properties of the HOG-WD, and (v) define a higher order, generalized (alternating sign) frequency-shift covariant class of TFRs based upon smoothed versions of the HOG-WD.

Original languageEnglish (US)
Title of host publicationConference Record of the Asilomar Conference on Signals, Systems and Computers
EditorsM.P. Farques, R.D. Hippenstiel
PublisherIEEE Comp Soc
Pages488-492
Number of pages5
Volume1
StatePublished - 1998
Externally publishedYes
EventProceedings of the 1997 31st Asilomar Conference on Signals, Systems & Computers. Part 1 (of 2) - Pacific Grove, CA, USA
Duration: Nov 2 1997Nov 5 1997

Other

OtherProceedings of the 1997 31st Asilomar Conference on Signals, Systems & Computers. Part 1 (of 2)
CityPacific Grove, CA, USA
Period11/2/9711/5/97

ASJC Scopus subject areas

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

Cite this

Murray, R. L., Papandreou-Suppappola, A., & Boudreaux-Bartels, G. F. (1998). New time-frequency representations: Higher order warped Wigner distributions. In M. P. Farques, & R. D. Hippenstiel (Eds.), Conference Record of the Asilomar Conference on Signals, Systems and Computers (Vol. 1, pp. 488-492). IEEE Comp Soc.