Title :
Time-frequency strip filters
Author :
Weisburn, Beth A. ; Shenoy, Ram G.
Author_Institution :
Sebastopol, CA, USA
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
0-7803-3192-3
DOI :
10.1109/ICASSP.1996.543925
