Study of a Sort of Orthogonal Multiple Vector-Valued Trivariate Wavelet Packets

Xiaofeng Wang, Deyao Song · 2009

Wavelet analysis has been developing a widely used mathematical branch for twenty years. In this work, the notion of biorthogonal multiple vector-valued trivariate wavelet packets is introduced. A new feasible method for designing them is presented. Their properties are characterized by using time-frequency analysis method, matrix theory and finite group theory. Three orthogonality formulas are established.

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