Resolution comparison of several time-frequency representations

Douglas L. Jones, Thomas W. Parks

Research output: Contribution to journalConference article

Abstract

Two signal components are considered resolved in a time-frequency representation when two distinct peaks can be observed. The time-frequency resolution limit of two Gaussian components, alike except for their time and frequency centers, are determined for the Wigner distribution and smoothed variants of the Wigner distribution (the pseudo-Wigner distribution, the smoothed Wigner distribution, and the squared magnitude of the short-time Fourier transform). The matched-window short-time Fourier transform has the highest resolution in time-frequency; it is about 24% greater than that of the Wigner distribution. An explanation of this rather surprising result is presented. The pseudo-Wigner distribution provides more resolution in one direction than the other representations, if substantial resolution in the other direction can be sacrificed.

Original languageEnglish (US)
Pages (from-to)2222-2225
Number of pages4
JournalICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume4
StatePublished - Dec 1 1989
Event1989 International Conference on Acoustics, Speech, and Signal Processing - Glasgow, Scotland
Duration: May 23 1989May 26 1989

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering

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