Construction and properties of multiwavelet packets with arbitrary scale and the related algorithms of decomposition and reconstruction
| Autor: | Zheng-Xing Cheng, Choi-Hong Lai, Ting-Zhu Huang, Jinsong Leng |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Scaling function vector
Network packet ComputerSystemsOrganization_COMPUTER-COMMUNICATIONNETWORKS Scale (descriptive set theory) Computer Science::Numerical Analysis Scale Computer Science::Performance Set (abstract data type) Computational Mathematics Multiwavelets Computational Theory and Mathematics Modeling and Simulation Modelling and Simulation Computer Science::Networking and Internet Architecture Decomposition (computer science) Multiwavelet packets Matrix sequence Algorithm Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 51(11):1663-1676 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2006.05.005 |
| Popis: | A more flexible method of constructing multiwavelet packets with the scale a ≥ 2 from the same set of multiwavelets is discussed in this paper. The properties of these packets are studied. The formulae for performing iterations and decomposition are given. L2(R) can be further decomposed by these multiwavelet packets and good bases of L2(R) are given. Finally, we provide the algorithms for the decomposition and reconstruction using these multiwavelet packets. |
| Databáze: | OpenAIRE |
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