Construction of Compactly Supported Orthogonal Multiple Vector-valued Wavelets
Qingjiang Chen · Journal of Zhengzhou University · 2005
In this paper,vector-valued multireslution analkysis and orthogonal multiple vector-valued wavelets are introduced.A necessary and sufficient condition for the exixtence of orthogonal multiple vector-valued wavelets is(derived) by means of paraumitary vector filter bank theory and the Fourier transform.A class of orthogonal multiple(vector-valued) wavelets are constructed from some given compactly supported vector-valued scaling functions satisfying certain conditions by using the multiresolution analysis approach and matrix theory.An algorithm for(constructing) a class of compactly supported orthogonal multiple vector-valued wavelets is presented.An example for constructing them is given.