文献类型：期刊文献

英文题名：Orthogonal Multiwavelet Frames in L-2(R-d)

作者：Liu Zhanwei[1];Hu Guoen[2];Wu Guochang[3]

第一作者：Liu Zhanwei

通讯作者：Liu, ZW[1]

机构：[1]Zhengzhou Univ, Sch Informat Engn, Zhengzhou 450001, Peoples R China;[2]Zhengzhou Informat Sci & Technol Inst, Dept Appl Math, Zhengzhou 450002, Peoples R China;[3]Henan Univ Econ & Law, Dept Appl Math, Zhengzhou 450002, Peoples R China

第一机构：Zhengzhou Univ, Sch Informat Engn, Zhengzhou 450001, Peoples R China

通讯机构：[1]corresponding author), Zhengzhou Univ, Sch Informat Engn, Zhengzhou 450001, Peoples R China.

年份：2012

卷号：2012

外文期刊名：JOURNAL OF APPLIED MATHEMATICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000298804700001)】；

基金：L. Zhanwei was supported by the Henan Provincial Natural Science Foundation of China (Grant no. 102300410205). H. Guoen was supported by the National Natural Science Foundation of China (Grant no. 10971228).

语种：英文

摘要：We characterize the orthogonal frames and orthogonal multiwavelet frames in L-2(R-d) with matrix dilations of the form (Df)(x) = root vertical bar detA vertical bar f(Ax), where A is an arbitrary expanding d x d matrix with integer coefficients. Firstly, through two arbitrarily multiwavelet frames, we give a simple construction of a pair of orthogonal multiwavelet frames. Then, by using the unitary extension principle, we present an algorithm for the construction of arbitrarily many orthogonal multiwavelet tight frames. Finally, we give a general construction algorithm for orthogonal multiwavelet tight frames from a scaling function.