Wavelets and Wavelet Packets Related to a Class of Dilation Matrices
QiaoFangLIAN · Acta Scientiarum Naturalium Universitatis Sunyatseni · 2004
The construction of wavelets generated from an orthogonal multiresolution analysis can be reduced to the unitary extension of a matrix, which is not easy in most cases. Jia and Micchelli gave a solution to the problem in the case where the dilation matrix is 21 and the dimension does not exceed 3. In this paper, by the method of unitary extension of a matrix, we obtain the construction of wavelets and wavelet oackets related to a class of dilation matrices.