The Description of Multiple Vector-valued Dual Multidimensional Wavelet wraps and Dual Pseudoframes

摘要：

In this paper, the notion of multiresolution matrixvalued multiresolution analysis is introduced. A method for constructing biorthogonal multiple vectorvalued multivariate wavelet wraps is put forward and their properties are investigated by means of timefrequency analysis method, matrix theory and operator theory. Three biorthogonality formulas concerning these wavelet packets are obtained. Finally, new Riesz bases of three dimensional matrix-valued function space are obtained by designing a series of subspaces of biorthogonal matrix wavelet packets.

关键词： multidimensional matrix-valued hiorthogonal wavelet wrap wavelet packs, multi-scale dilation factor

作者: Luo Ping Pan Zhi-min

作者单位: Department of Fundamentals Henan Polytechnic Institute Nanyang 473009, China School of Science Xian University of Arch, and Tech,Xian 710055, China

会议类型: 国际会议

会议名称: 2010 3rd IEEE International Conference on Computer Science and Information Technology(第三届IEEE计算机科学与信息技术国际会议 ICCSIT 2010)

会议地点: 成都

会议语种:英文

页码: 200-204

在线出版日期: 2010-07-07（万方平台首次上网日期，不代表论文的发表时间）