A study on orthogonal two-direction vector-valued wavelets and two-direction wavelet packets

作者：Luo, Lisuo^*; Li, Wanshe; Li, Qiao

来源：Applied Mathematics and Computation, 2011, 217(24): 10146-10157.

DOI：10.1016/j.amc.2011.05.009

• Two-direction scaling function
• Positive-direction mask symbol
• Negative-direction mask symbol
• Two-direction wavelets orthogonal
• Two-direction wavelet packets

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 L-2(R)(r) is presented.

• 出版日期2011-8-15
• 单位陕西师范大学