基于二进制序列族的压缩感知测量矩阵构造

发布时间：2018-05-25 08:48

  本文选题：信号处理 + 压缩感知　； 参考：《电子与信息学报》2016年07期

【摘要】：构造确定性测量矩阵对压缩感知理论的推广与应用具有重要的意义。该文源于代数编码理论,提出一种基于二进制序列族的确定性测量矩阵构造算法。相关性是描述矩阵性质的重要准则,减小相关性可使重建性能提高。该文推导出所构造测量矩阵的相关性小于同条件下的高斯随机矩阵和伯努利随机矩阵。理论分析和仿真实验表明,该方式构造的测量矩阵的重建性能优于同条件下的高斯随机矩阵和伯努利随机矩阵;所构造矩阵可由线性反馈移位寄存器结构实现,易于硬件实现,有利于压缩感知理论的实用化。
[Abstract]:The construction of deterministic measurement matrix is of great significance to the extension and application of compression perception theory. Based on algebraic coding theory, a deterministic measurement matrix construction algorithm based on binary sequence family is proposed in this paper. Correlation is an important criterion to describe the properties of matrix. Reducing the correlation can improve the reconstruction performance. This paper deduces that the correlation of the constructed measurement matrix is less than that of the Gao Si random matrix and Bernoulli random matrix under the same conditions. Theoretical analysis and simulation experiments show that the reconstruction performance of the measurement matrix constructed by this method is better than that of Gao Si random matrix and Bernoulli random matrix under the same conditions, and the constructed matrix can be realized by linear feedback shift register structure, which is easy to be implemented in hardware. It is beneficial to the practical application of the theory of compressed perception.
【作者单位】： 西安电子科技大学ISN国家重点实验室;
【基金】：国家自然科学基金(61372069) 高等学校学科创新引智计划(111计划)(B08038)~~
【分类号】：TN911.7

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