文章基本信息

标题：Periodic Non-uniform Sampling for Sparse Signals in Shift-invariant Spaces
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作者：Junyi Luo ; Lin Lei
期刊名称：International Journal of Hybrid Information Technology
印刷版ISSN：1738-9968
出版年度：2015
卷号：8
期号：12
页码：421-432
DOI：10.14257/ijhit.2015.8.12.33
出版社：SERSC
摘要：Periodic Non-uniform sampling in shift-invariant spaces is an effective method for low- rate sampling of continuous time sparse signals, but, recovery of sampled time sparse signals must be unstable in general. In the paper, the possibility of stable recovery under a combination of sufficient sparsity is proposed. The sampling and reconstruction of sparse signals were transformed into matrix and vector operations by using minimum L1 normal. Necessary condition of reconstruction is analyzed. Finally, we are taking multi- band sinusoidal signals as an example to prove that the method can achieve the sampling and reconstruction of sparse signals from recovery successful rate and integer of system.
关键词：minimum L1 normal; periodic non-uniform sampling; sparse signals