Synthesis of legal Wigner filter

Author

Adler, D. ; Raz, S.

Author_Institution

Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel

fYear

1991

fDate

14-17 Apr 1991

Firstpage

2057

Abstract

A novel approach is proposed where time-varying filtering is carried out by an approximate filter belonging to the class of legal Wigner space filters. A legal Wigner filter is one that guarantees legality of the time-frequency output signal, for an arbitrary input signal, i.e. the time-frequency output is a distribution corresponding to a unique desired time signal. Two classes are identified: (1) the class of linear time-varying filters, and (2) a class of nonlinear (bilinear) filters. Imposition of the least-squared error criterion leads in either case to eigenvalue problems coupled with a renormalization of the eigenvectors

Keywords

filtering and prediction theory; signal processing; arbitrary input signal; eigenvalue problems; eigenvector renormalisation; filter synthesis; least-squared error criterion; legal Wigner space filters; linear time-varying filters; nonlinear filters; time-frequency output signal; Filtering; Law; Least squares approximation; Legal factors; Nonlinear filters; Signal generators; Signal processing; Signal synthesis; Space technology; Time frequency analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on

Conference_Location

Toronto, Ont.

ISSN

1520-6149

Print_ISBN

0-7803-0003-3

Type

conf

DOI

10.1109/ICASSP.1991.150809

Filename

150809