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Wavelet analysis has been a powerful tool for exploring and solving many complicated problems in natural science and engineering computation. In this paper, the notion of orthogonal vector-valued wavelet packets with 3-scale in higher dimensions is introduced. A procedure for constructing them is presented. Their orthogonality property is characterized by virtue of finite group theory, time-frequency...
In this paper. the notion of vector-valued multi-resolution analysis is introduced and the definition of orthogonal vector-valued wavelets. A necessary and sufficient condition on the existence of orthogonal vector-valued wavelets is given by using paraunitary vector filter bank theory. A method for constructing a class of compactly supported orthogonal vector-valued wavelets is proposed.
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