混沌压缩感知的toeplitz结构测量矩阵构造

Fifth International Conference on Intelligent Control and Information Processing Pub Date : 2014-08-01 DOI:10.1109/ICICIP.2014.7010279

Fuhua Fan

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引用次数: 7

摘要

随机测量矩阵的构造可能存在困难。因此，本文提出了一种用于压缩感知的混合混沌映射稀疏toeplitz-structured (HcmST)矩阵的确定性构造方法。证明了基于混合混沌映射序列及其大间隔均匀采样生成的HcmST矩阵高概率满足RIP特性。仿真实验表明，HcmST矩阵具有较低的累积相干性，支持精确的信号重构。

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Toeplitz-structured measurement matrix construction for chaotic compressive sensing

There could be difficulties in construction of random measurement matrix. A deterministic method is therefore proposed to construct hybrid chaotic map sparse toeplitz-structured (HcmST) matrix for compressive sensing in this paper. It is proved that HcmST matrix, generated based on hybrid chaos map sequence and its uniform sampling with large interval, meets the RIP characteristic with high probability. Simulation experiments show that HcmST matrix is of low accumulative coherence, and hence, support accurate signal reconstruction.

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Fifth International Conference on Intelligent Control and Information Processing

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