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The notion of the higher-dimensional matrix-valued wavelet packets is proposed. A method for designing biorthogonal matrix-valued multivariate wavelet packets is developed and their properties are discussed by means of time-frequency analysis method and matrix theory. Three orthogonality formulas concerning these wavelet packets are obtained. One new Riesz basis of L2 (Rd, Cr ?? r) are constructed...
In this article, the notion of biorthogonal two-directional compactly supported wavelet packets with a positive integer dilation factor is introduced. A new approach for constructing biorthogonal two-directional wavelet packets is developed and their properties is investigated by means of time-frequency analysis method, matrix theory and operator theory. The formulas for performing iterations and...
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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