Article ID Journal Published Year Pages File Type
5775927 Applied Mathematics and Computation 2017 11 Pages PDF
Abstract
A new method for the construction of compactly supported Parseval wavelet frames in L2(Rd) with any preassigned approximation order n for arbitrary matrix dilation M is proposed. The number of wavelet functions generating a frame constructed in this way is less or equal to (d+1)|detM|−d. The method is algorithmic, and the algorithm is simple to use. The number of generating wavelet functions can be reduced to |detM| for a large class of matrices M.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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