A study on orthogonal two-direction vector-valued wavelets and two-direction wavelet packets |
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| Authors: | Lisuo LuoWanshe Li Qiao Li |
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| Affiliation: | College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, People’s Republic of China |
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| Abstract: | In this paper, the notion of two-direction vector-valued multiresolution analysis and the two-direction orthogonal vector-valued wavelets are introduced. The definition for two-direction orthogonal vector-valued wavelet packets is proposed. An algorithm for constructing a class of two-direction orthogonal vector-valued compactly supported wavelets corresponding to the two-direction orthogonal vector-valued compactly supported scaling functions is proposed by virtue of matrix theory and time-frequency analysis method. The properties of the two-direction vector-valued wavelet packets are investigated. At last, the direct decomposition relation for space L2(R)r is presented. |
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| Keywords: | Two-direction scaling function Positive-direction mask symbol Negative-direction mask symbol Two-direction wavelets orthogonal Two-direction wavelet packets |
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