电子学报2017，Vol.45Issue(9)：2177-2183,7.DOI:10.3969/j.issn.0372-2112.2017.09.018
一种基于复合混沌映射的压缩感知测量矩阵构造方法研究
Construction of Measurement Matrix in Compressive Sensing Based on Composite Chaotic Mapping
周伟 1景博 1张航 2黄以锋 1李娟1
作者信息
- 1. 空军工程大学航空航天工程学院,陕西西安710038
- 2. 北京机电工程研究所,北京100074
- 折叠
摘要
Abstract
Aiming at the difficult in hardware realization of random measurement matrix,we construct a deterministic measurement matrix based on composite chaotic mapping.The composite chaotic mapping that based on Tent mapping and Logistic mapping,has stronger randomicity and initial value sensitivity.Sampled the composite chaotic mapping sequence with large distance,and then do linear transformation to the sampling sequence.Finally,we construct the measurement matrix with the linear transformation result.We prove that the measurement matrix elements have enough statistically independent,and the measurement matrix can satisfies restricted isometry property (RIP) with large probability.The simulation result shows that our matrix has the similar performance to Gaussian random matrix,and better than Toeplitz deterministic measurement matrix and Logistic deterministic measurement matrix.关键词
压缩感知/测量矩阵/混沌映射/约束等距性Key words
compressive sensing (CS)/measurement matrix/chaotic mapping/restricted isometry property分类
信息技术与安全科学引用本文复制引用
周伟,景博,张航,黄以锋,李娟..一种基于复合混沌映射的压缩感知测量矩阵构造方法研究[J].电子学报,2017,45(9):2177-2183,7.
