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Vector sampling theorem for wavelet subspaces

Vector sampling theorem for wavelet subspaces
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摘要 The vector sampling theorem has been investigated and widely used by multi-channel deconvolution, multi-source separation and multi-input multi-output （MIh40） systems. Commonly, for most of the results on MIMO systems, the input signals are supposed to be band-limited. In this paper, we study the vector sampling theorem for the wavelet subspaces with reproducing kernel. The case of uniform sampling is discussed, and the necessary and sufficient conditions for reconstruction are given. Examples axe also presented. The vector sampling theorem has been investigated and widely used by multi-channel deconvolution, multi-source separation and multi-input multi-output （MIh40） systems. Commonly, for most of the results on MIMO systems, the input signals are supposed to be band-limited. In this paper, we study the vector sampling theorem for the wavelet subspaces with reproducing kernel. The case of uniform sampling is discussed, and the necessary and sufficient conditions for reconstruction are given. Examples axe also presented.
作者 陈俊丽 李翔 刘维晓 万旺根
机构地区 School of Communication and Information Engineering
出处 《Journal of Shanghai University(English Edition)》 2010年第1期29-33,共5页 上海大学学报（英文版）
基金 supported by the National Natural Science Foundation of China (Grant No.60873130) the Shanghai Leading Academic Discipline Project (Grant No.J50104)
关键词 reproducing kernel wavelet subspaces Riesz basis vector sampling theorem reproducing kernel, wavelet subspaces, Riesz basis, vector sampling theorem
分类号 TP277 [自动化与计算机技术—检测技术与自动化装置]
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参考文献11

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Journal of Shanghai University(English Edition)
2010年 第1期

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