The Traits of Multiple Vector Wavelet Functions Associated with Filter Functions

In this note, we introduce matrix-valued multiresolution analysis and orthogonal matrix-valued wavelet wraps. We demonstrate that there exist wavelet frame generated by two functions which have good dual wavelet frames, but for which the canonical dual wavelet frame does not consist of wavelets, according to scaling functions. In particular, a new orthogonal basis of L2(R,Cs×s) is drawn from these wavelet wraps. The pyramid decomposition scheme is obtained.