Construction of two-direction tight wavelet frames |
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| Authors: | Yan Feng Shouzhi Yang |
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| Institution: | 1. School of Computer and Information Technology, Xinyang Normal University, Xinyang 464000, China2. Department of Mathematics, Shantou University, Shantou 515063, China |
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| Abstract: | 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. |
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| Keywords: | Two-direction refinable function two-direction tight wavelet frame two-direction quadrature mirror filter （TQMF） condition multiwavelet symmetry |
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