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The advantages of wavelet packets and their promising features in various application have attracted a lot of interest and effort in recent years. In this paper, the concept of biorthogonal two-directional finitely supported wavelet wraps with four-scale is introduced. A new method for designing two-directional biorthogonal wavelet wraps is developed and their properties is investigated by means of...
In this paper, we introduce matrix-valued multi-resolution structure and matrix-valued bivariate wavelet wraps. A constructive method of semi-orthogonal matrix-valued bivari-ate wavelet wraps is presented. Their properties have been characterized by using time-frequency analysis method, unitary extension principle and operator theory. The direct decom-position relation is obtained.
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