Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775927 | Applied Mathematics and Computation | 2017 | 11 Pages |
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|âd. 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
M. Skopina,