Minimum-Energy Multiwavelet Frames with Arbitrary Integer Dilation Factor

Yongdong Huang, Qiufu Li and Ming Li

Mathematical Problems in Engineering, 2012, vol. 2012, 1-37

Abstract:

In order to organically combine the minimum-energy frame with the significant properties of multiwavelets, minimum-energy multiwavelet frames with arbitrary integer dilation factor are studied. Firstly, we define the concept of minimum-energy multiwavelet frame with arbitrary dilation factor and present its equivalent characterizations. Secondly, some necessary conditions and sufficient conditions for minimum-energy multiwavelet frame are given. Thirdly, the decomposition and reconstruction formulas of minimum-energy multiwavelet frame with arbitrary integer dilation factor are deduced. Finally, we give several numerical examples based on B-spline functions.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:640789

DOI: 10.1155/2012/640789

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