Time-frequency strip filters

Author

Weisburn, Beth A. ; Shenoy, Ram G.

Author_Institution

Sebastopol, CA, USA

Volume

3

fYear

1996

fDate

7-10 May 1996

Firstpage

1411

Abstract

A strip filter, which is a time-varying generalization of linear time-invariant filters, selects signals having energy in a strip-shaped region in the time-frequency plane. Its eigenfunctions are a set of chirps oriented parallel to the strip in time-frequency. Properties of the strip filter are reviewed and related to earlier work on time-varying filters in the time-frequency plane. It is a special case of a Weyl filter, where the time-frequency symbol is restricted to a strip shape. When the time-frequency symbol is an indicator function, the resulting filter is a projection operator. A derivation of a fast implementation of the strip filter results from its group-theoretic origins

Keywords

delay circuits; eigenvalues and eigenfunctions; filtering theory; group theory; signal processing; time-frequency analysis; time-varying filters; Weyl filter; eigenfunctions; fast implementation; group theory; indicator function; linear time-invariant filters; projection operator; signal energy; strip shape; strip-shaped region; time-frequency plane; time-frequency strip filters; time-frequency symbol; time-varying filters; time-varying generalization; Chirp; Design methodology; Eigenvalues and eigenfunctions; Fourier transforms; Frequency domain analysis; Kernel; Nonlinear filters; Shape; Strips; Time frequency analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on

Conference_Location

Atlanta, GA

ISSN

1520-6149

Print_ISBN

0-7803-3192-3

Type

conf

DOI

10.1109/ICASSP.1996.543925

Filename

543925