Title :
Oversampled modulated filter banks and tight Gabor frames in l2(Z)
Author :
Cvetkovic, Zoran
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA
Abstract :
The subject of this study is paraunitary modulated filter banks. A factorization of the polyphase matrices of these filter banks, which is described, gives complete characterization of tight Gabor frames in l 2(Z), with arbitrary rational oversampling ratios. Tight Gabor frames, being less constrained than orthogonal bases, allow for filter bank designs with good localization in both time and frequency
Keywords :
band-pass filters; filtering theory; matrix algebra; modulation; signal sampling; filter bank designs; frequency localization; oversampled modulated filter banks; paraunitary modulated filter banks; polyphase matrices factorization; rational oversampling ratios; tight Gabor frames; time localization; Channel bank filters; Filter bank; Gabor filters; Matrix decomposition; Nonlinear filters; Signal analysis; Time frequency analysis;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-2431-5
DOI :
10.1109/ICASSP.1995.480558
