Title :
An algorithm for the construction of M-band symmetric orthogonal multi-band wavelets
Author :
Juan, Su ; Xinhan, Dong ; Hongyue, Quan
Author_Institution :
Coll. of Math. & Comput. Sci., Hunan Normal Univ., Changsha, China
Abstract :
In this paper, a complete parameterization for M-band orthogonal symmetric wavelet filter banks is provided based on orthogonal matrix and paraunitary linear factors. The factorization presented in this paper can be used for finding M-band orthogonal symmetric wavelet matrix whether it is with given scaling low-pass filter banks or not. At last some examples for 4-band orthogonal symmetric wavelet matrix are constructed.
Keywords :
channel bank filters; matrix decomposition; wavelet transforms; 4-band orthogonal symmetric wavelet matrix; M-band orthogonal symmetric multiband wavelet filter banks; paraunitary linear factors; scaling low-pass filter banks; Equations; Matrix decomposition; Mercury (metals); Symmetric matrices; Wavelet analysis; Wavelet transforms; factorization; multi-band; orthogonal; polyphase matrix; symmetric;
Conference_Titel :
Computer Science and Automation Engineering (CSAE), 2011 IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-8727-1
DOI :
10.1109/CSAE.2011.5952423
