A Novel Approach for Constructing a Class of Orthogon Vector-Valued Wavelets with Finite Support

Shui Wang Guo, Jin Chang Shi · Key engineering materials · 2010

In this paper, the notion of orthogonal vector-valued wavelets is introduced. A necessary and sufficient condition on the existence of orthogonal vector-valued wavelets is presented by using paraunitary vector filter bank theory, time-frequency analysis method and matrix theory. A new method for constructing a class of orthog- -onal finitectly supported vector-valued wavelets is presented.

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