Minimum-Energy Bivariate Wavelet Frame with Arbitrary Dilation Matrix

Autor:	Fengjuan Zhu, Qiufu Li, Yongdong Huang
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	Mathematics QA1-939
Zdroj:	Journal of Applied Mathematics, Vol 2013 (2013)
Druh dokumentu:	article
ISSN:	1110-757X 1687-0042
DOI:	10.1155/2013/896050
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/76f4a6a8a9ea4239af42ec6d1c581763 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF