Frontiers of Mathematics in China >
Construction of two-direction tight wavelet frames
Received date: 12 Jul 2011
Accepted date: 21 Jun 2014
Published date: 29 Oct 2014
Copyright
We investigate the construction of two-direction tight wavelet frames. First, a sufficient condition for a two-direction refinable function generating two-direction tight wavelet frames is derived. Second, a simple constructive method of two-direction tight wavelet frames is given. Third, based on the obtained two-direction tight wavelet frames, one can construct a symmetric multiwavelet frame easily. Finally, some examples are given to illustrate the results.
Yan FENG , Shouzhi YANG . Construction of two-direction tight wavelet frames[J]. Frontiers of Mathematics in China, 2014 , 9(6) : 1293 -1308 . DOI: 10.1007/s11464-014-0421-3
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