Hybrid linear/bilinear time-scale analysis

Author

Pasquier, M. ; Goncalves, Patricia ; Baraniuk, Richard

Author_Institution

Ecole Nat. Superieure des Telecommun., Paris, France

fYear

1996

fDate

18-21 Jun 1996

Firstpage

513

Lastpage

516

Abstract

We 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 wide-band signals that are not well modeled in terms of time and frequency shifts. Using a wavelet decomposition and the Bertrand (see J. Math. Phys., vol.33, p.2515-27, 1992) 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 and leads us to insights into the cross-term deleted representations

Keywords

bilinear systems; interference suppression; linear systems; signal representation; statistical analysis; time-frequency analysis; wavelet transforms; frames theory; frequency shifts; hybrid linear/bilinear time-scale analysis; interference components suppression; nonstationary signals; series/cross-term deleted representations; time shifts; time-frequency distribution; time-scale distribution; time-scale domain; wavelet decomposition; wideband signal matching; Discrete transforms; Interference suppression; Linearity; Narrowband; Radar; Signal analysis; Signal resolution; Telecommunications; Time frequency analysis; Wideband;

fLanguage

English

Publisher

ieee

Conference_Titel

Time-Frequency and Time-Scale Analysis, 1996., Proceedings of the IEEE-SP International Symposium on

Conference_Location

Paris

Print_ISBN

0-7803-3512-0

Type

conf

DOI

10.1109/TFSA.1996.550105

Filename

550105