Joint uncertainty measures for maximally decimated M-channel prime factor cascaded wavelet filter banks

Author

Tay, P.C. ; Havlicek, J.P.

Author_Institution

Sch. of Electr. & Comput. Eng., Oklahoma Univ., Norman, OK, USA

Volume

1

fYear

2003

fDate

14-17 Sept. 2003

Abstract

In this paper we study the joint time-frequency localization of cascade connections of maximally decimated wavelet filter banks. An M-channel bank is created by cascading a series of p_i-channel maximally decimated filter banks where M=p1 p2.....pk is the prime factorization of M. Joint localization of the overall M-channel filter bank is quantified in terms of the geometric mean of certain discrete domain uncertainty measures of the analysis filters. As examples, we obtain interesting quantitative time-frequency localization measures for several two, four, and eight channel filter-banks.

Keywords

FIR filters; cascade networks; channel bank filters; time-frequency analysis; wavelet transforms; M-channel prime factor; analysis filter; decimated wavelet filter bank; geometric mean; joint time-frequency localization; joint uncertainty measure; Channel bank filters; Delay; Filter bank; Frequency measurement; Gabor filters; Measurement standards; Measurement uncertainty; Signal synthesis; Time frequency analysis; Time measurement;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 2003. ICIP 2003. Proceedings. 2003 International Conference on

ISSN

1522-4880

Print_ISBN

0-7803-7750-8

Type

conf

DOI

10.1109/ICIP.2003.1247142

Filename

1247142