Title :
Construction of orthogonal multiwavelet
Author :
Yang, Jian-wei ; Tang, Yuan-y ; Cheng, Zheng-Xing
Author_Institution :
Dept. of Comput. Sci., Hong Kong Baptist Univ., China
Abstract :
For compactly supported m-band (m≥2, m∈Z) orthonormal multiwavelet systems, an algorithm to construct compactly supported orthogonal multiwavelets from the associated multi-scaling functions is presented in this paper. This method is simple for computation, does not need to solve a set of nonlinear equations in unknown matrices or factorize a polynomial matrix into a special form, and is not restrained by the multiplicity of multiwavelets. It only needs to solve some linear equations and compute some matrices. As an example, the GHM multiwavelets are derived via this method.
Keywords :
wavelet transforms; compactly supported; multi-scaling functions; orthogonal multiwavelets; orthonormal multiwavelet; polynomial matrix; polyphase matrix; Clustering algorithms; Computer science; Cybernetics; Machine learning; Mathematics; Multiresolution analysis; Noise reduction; Nonlinear equations; Polynomials;
Conference_Titel :
Machine Learning and Cybernetics, 2002. Proceedings. 2002 International Conference on
Print_ISBN :
0-7803-7508-4
DOI :
10.1109/ICMLC.2002.1175381
