Hybrid linear/bilinear time-scale analysis

Author

Pasquier, Martin ; Gonçalvès, Paulo ; Baraniuk, Richard

Author_Institution

Groupe ALTRAN, Soc. SEGIME, Paris, France

Volume

47

Issue

1

fYear

1999

fDate

1/1/1999 12:00:00 AM

Firstpage

254

Lastpage

259

Abstract

The introduce a new method for the time-scale analysis of nonstationary signals. Our work leverages the success of the “time-frequency distribution series/cross-term deleted representations” into the time-scale domain to match wideband signals that are better modeled in terms of time shifts and scale changes than in terms of time and frequency shifts. Using a wavelet decomposition and the Bertrand time-scale distribution, we locally balance linearity and bilinearity in order to provide good resolution while suppressing troublesome interference components. The theory of frames provides a unifying perspective for cross-term deleted representations in general

Keywords

interference suppression; signal representation; signal resolution; time-frequency analysis; wavelet transforms; Bertrand time-scale distribution; cross-term deleted representations; frames; hybrid linear/bilinear time-scale analysis; interference suppression; linearity; nonstationary signals; resolution; scale changes; time shifts; time-frequency distribution series; wavelet decomposition; wideband signals; Discrete transforms; Interference suppression; Linearity; Narrowband; Radar; Signal analysis; Signal resolution; Sonar; Time frequency analysis; Wideband;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.738266

Filename

738266