Minimum-Energy Multiwavelet Frame on the Interval

Fengjuan Zhu, Yongdong Huang, Xiao Feng and Qiufu Li

Mathematical Problems in Engineering, 2015, vol. 2015, 1-19

Abstract:

Drawing inspiration from the idea of combining multiwavelets on the interval with frame theory organically, we study minimum-energy multiwavelet frame on the interval (MEMWFI). Firstly, left boundary multiscaling functions, right boundary multiscaling functions, and the definition of MEMWFI are put forward, and the equivalent characterizations of MEMWFI are given. Then, two algorithms of constructing MEMWFI are proposed. Finally, the decomposition formula, reconstruction formulas, and numerical examples are given.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:262637

DOI: 10.1155/2015/262637

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