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A Method of Constructing Measurement Matrix for Compressed Sensing by Chebyshev Chaotic Sequence

机译：Chebyshev混沌序列构建测量矩阵的方法

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摘要

In this paper, the problem of constructing the measurement matrix in compressed sensing is addressed. In compressed sensing, constructing a measurement matrix of good performance and easy hardware implementation is of interest. It has been recently shown that the measurement matrices constructed by Logistic or Tent chaotic sequences satisfy the restricted isometric property (RIP) with a certain probability and are easy to be implemented in the physical electric circuit. However, a large sample distance that means large resources consumption is required to obtain uncorrelated samples from these sequences in the construction. To solve this problem, we propose a method of constructing the measurement matrix by the Chebyshev chaotic sequence. The method effectively reduces the sample distance and the proposed measurement matrix is proved to satisfy the RIP with high probability on the assumption that the sampled elements are statistically independent. Simulation results show that the proposed measurement matrix has comparable reconstruction performance to that of the existing chaotic matrices for compressed sensing.
机译：在本文中，解决了在压缩感测中构建测量矩阵的问题。在压缩感测中，构建良好性能和简单硬件实现的测量矩阵感兴趣。最近已经表明，由逻辑或帐篷混沌序列构成的测量矩阵满足具有一定概率的限制等距特性（RIP），并且易于在物理电路中实现。然而，需要大的样本距离，这意味着需要大量资源消耗来从结构中从这些序列中获得不相关的样本。为了解决这个问题，我们提出了一种通过Chebyshev混沌序列构建测量矩阵的方法。该方法有效地减少了采样距离，并且证明了所提出的测量矩阵以满足采样元素在统计上独立的假设的高概率上满足RIP。仿真结果表明，所提出的测量矩阵对压缩感测的现有混沌矩阵的重建性能相当。

著录项

  • 期刊名称 Entropy
  • 作者

    Renjie Yi; Chen Cui; Yingjie Miao; Biao Wu;

  • 作者单位
  • 年(卷),期 2020(22),10
  • 年度 2020
  • 页码 1085
  • 总页数 16
  • 原文格式 PDF
  • 正文语种
  • 中图分类
  • 关键词

    机译：压缩感;测量矩阵;Chebyshev混沌序列;RIP;

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