The Characters of Biorthogonal Two-directional Finitely Supported Wavelet Wraps with Three-scaled Filter Banks

摘要：

This research proposes a novel method constructi--ng two-directional biorthogonal wavelet wraps. The notion of biorthogonal two-directional finitely supported bivariate wavelet wraps with three-scale is introduced. Their properties is investigated by means of time-frequency analysis method, matrix theory, iteration method and operator theory. The decomposition relationship is established. In the final, two Re-esz bases of bivariate function space L:(R2) are drawn from these wavelet wraps.

关键词： two-directional biorthogonal dual pairs multire-solution Finitely supported wavelet wraps

作者: Honglin Guo Hong-E Wu

作者单位: Department of Fundamentals Henan Polytechnic Institute Nanyang 473009, China Department of Applied Mathematics Nanyang Institute of Technology Nanyang 473004, China

会议类型: 国际会议

会议名称: 2011 3rd International Conference on Computer and Automation Engineering(ICCAE 2011)(2011年第三届IEEE计算机与自动化工程国际会议)

会议地点: 重庆

会议语种:英文

页码: 282-286

在线出版日期: 2011-01-21（万方平台首次上网日期，不代表论文的发表时间）