Generalized instantaneous parameters and window matching in the time-frequency plane

Author

Jones, Graeme ; Boashash, Boualem

Author_Institution

Raytheon Canada Limited, Waterloo, Ont., Canada

Volume

45

Issue

5

fYear

1997

fDate

5/1/1997 12:00:00 AM

Firstpage

1264

Lastpage

1275

Abstract

The concept of instantaneous parameters, which has previously been associated exclusively with 1-D measures like the instantaneous frequency and the group delay, are extended to the 2-D time-frequency plane. Such generalized instantaneous parameters are associated with the short-time Fourier transform. They may also be interpreted as local moments of certain time-frequency distributions. It is shown that these measures enable local signal behavior to be characterized in the time-frequency plane for nonstationary deterministic signals. The usefulness of the generalized instantaneous parameters is demonstrated in their application to optimal selection of windows for spectrograms. This is achieved through window matching in the time-frequency plane. An algorithm is provided that illustrates the performance of this window matching. Results based on simulated and real data are presented

Keywords

Fourier transforms; delays; parameter estimation; signal representation; spectral analysis; statistical analysis; time-frequency analysis; 1D measures; 2D time-frequency plane; generalized instantaneous parameters; group delay; instantaneous frequency; local moments; local signal behavior; nonstationary deterministic signals; real data; short-time Fourier transform; signal power representation; simulated data; spectrograms; time-frequency distributions; window matching; Delay; Fourier transforms; Frequency domain analysis; Frequency measurement; Frequency modulation; Information analysis; Signal analysis; Signal processing; Spectrogram; Time frequency analysis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.575699

Filename

575699