ISOMETRIC ISOMORPHISM BETWEEN A HILBERT SPACE OF SEQUENCE AND A GENERAL WAVELET SUBSPACE

摘要：

　　The success of typical wavelet sampling theories mostly benefits from the isomorphism Tf=f(k)k between a wavelet subspace and l2(R),but,due to the ignorance of isometry,their main results only concentrate on the recovery of signal in a single wavelet subspace.Here,some theorems are proposed to discuss the isometric isomorphism of a wavelet subspace and a convolution weighted l2(R) space where Tf=f(k)k is a distance-preserving map.In the simulation,we show that the projection of signal on the subspace,instead of only signal itself,is recovered from the samples due to the isometric isomorphism between a wavdet subspace and a convolution weighted l2(R) space.

关键词： Wavelet Sampling theorem

作者: ZHI-GUO ZHANG

作者单位: School of Automation Engineering, University of Electronic Science and Technology of China, Chengtu, Szechwan, China

会议类型: 国际会议

会议名称: 2011 International Conference on Wavelet Analysis and Pattern Recognition(2011小波分析与模式识别国际会议)

会议地点: 桂林

会议语种:英文

页码: 207-213

在线出版日期: 2011-07-10（万方平台首次上网日期，不代表论文的发表时间）