A resolution comparison of several time-frequency representations

Author

Jones, Douglas L. ; Parks, Thomas W.

Author_Institution

Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA

fYear

1989

Firstpage

2222

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

Keywords

Fourier transforms; signal processing; Gaussian components; pseudoWigner distribution; resolution; short-time Fourier transform; signal components; smoothed Wigner distribution; squared magnitude; time-frequency representations; Contracts; Convolution; Filtering; Fourier transforms; Low pass filters; Signal analysis; Signal resolution; Smoothing methods; Time frequency analysis; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1989. ICASSP-89., 1989 International Conference on

Conference_Location

Glasgow

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1989.266906

Filename

266906