文献类型：期刊文献

英文题名：A sufficient condition of the fusion wavelet frames

作者：Ren, Yudong[1]; Zhang, Xincheng[2]; Liu, Ying[3]

第一作者：任煜东

通讯作者：Ren, Y.

机构：[1] Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450002, China; [2] College of Software Technology, Kaifeng University, Kaifeng 475004, China; [3] College of Foreign Languages, Xi'an International University, Xi'an 710077, China

第一机构：河南财经政法大学数学与信息科学学院

年份：2013

卷号：46

期号：16

起止页码：301-307

外文期刊名：International Journal of Applied Mathematics and Statistics

收录：EI(收录号：20134016797642);Scopus(收录号：2-s2.0-84884571709)

语种：英文

外文关键词：Mathematical techniques

摘要：Frame theory plays an important role in the engineering. This paper studies the sufficient condition of fusion wavelet systems to be a frame in higher dimensions. We establish a sufficient condition for the fusion wavelet frames with an arbitrary expanding matrix dilations, which includes the corresponding result of wavelet analysis as the special case. ? 2013 by CESER Publications.