Title :
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
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 pi-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;
Conference_Titel :
Image Processing, 2003. ICIP 2003. Proceedings. 2003 International Conference on
Print_ISBN :
0-7803-7750-8
DOI :
10.1109/ICIP.2003.1247142
