Abstract

Materials science also deals with fundamental properties and characteristics of materi- als.In this paper, the notion of orthogonal vector-valued wavelets is introduced. A new method for constructing associated multiwavelets from multi-scaling functions is presented which is simple for computation. 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 orthogonal finitectly supported vector-valued wavelets is presented.

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