Title :
Characterization of Matrices Generating Orthogonal Multi-wavelets
Author_Institution :
Coll. of Sci., China Three Gorges Univ., Yichang, China
Abstract :
Theoretically, multiwavelets hold significant advantages over standard wavelets, particularly for solving more complicated problems, and hence are of great interest. It is pointed out in this paper that we must avoid those "multi-wavelets" being just pairs of standard wavelets. The main purpose of this paper is to charaterize a class of matrices which is crucial for the construction of orthogonal multi-wavelets with uniform linear phase.
Keywords :
channel bank filters; functions; matrix decomposition; wavelet transforms; matrix factorization; orthogonal multiwavelet filter bank construction; scaling function; symbol function; uniform linear phase; Character generation; Educational institutions; Equations; Filter bank; Symmetric matrices; Tin;
Conference_Titel :
Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-0-7695-3605-7
DOI :
10.1109/CSO.2009.32