Minimum-Energy Bivariate Wavelet Frame with Arbitrary Dilation Matrix | Zendy

Zhu Fengjuan | Zendy; Qiufu Li | Zendy; Yongdong Huang | Zendy

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Minimum-Energy Bivariate Wavelet Frame with Arbitrary Dilation Matrix

Author(s) -

Zhu Fengjuan,

Qiufu Li,

Yongdong Huang

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/896050

Subject(s) - bivariate analysis , wavelet , mathematics , cascade algorithm , energy (signal processing) , frame (networking) , dilation (metric space) , wavelet packet decomposition , wavelet transform , algorithm , mathematical optimization , computer science , statistics , geometry , artificial intelligence , telecommunications

In order to characterize the bivariate signals, minimum-energy bivariate wavelet frames with arbitrary dilation matrix are studied, which are based on superiority of the minimum-energy frame and the significant properties of bivariate wavelet. Firstly, the concept of minimum-energy bivariate wavelet frame is defined, and its equivalent characterizations and a necessary condition are presented. Secondly, based on polyphase form of symbol functions of scaling function and wavelet function, two sufficient conditions and an explicit constructed method are given. Finally, the decomposition algorithm, reconstruction algorithm, and numerical examples are designed. © 2013 Fengjuan Zhu et al.

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