摘要
针对混沌系统以间隔采样序列构造压缩感知测量矩阵而造成的计算和存储资源的浪费,提出了一种基于切比雪夫-贝努利(Chebyshev-Bernoulli)序列构造测量矩阵的算法。通过符号函数将切比雪夫混沌系统产生的混沌序列映射为其扩频序列,并证明其扩频序列服从贝努利(Bemoulli)分布特性,进一步由其扩频序列构造压缩感知测量矩阵。实验仿真表明,该测量矩阵与随机矩阵、混沌矩阵相比具有同样的重构性能,对于红外图像的重构,提出的方法具有更好的重构性能。
As chaotic sequence used for constructing measurement matrix in compressed sensing by sampling intervals sequence caused computing and storage resources wasting,a algorithm of structuring measurement matrix was put forward based on Chebyshev-Bernoulli sequence,in which Chebyshev chaotic system was used to generate the chaotic sequence,then be mapped spread spectrum sequence by the symbol function,at last,the spread spectrum sequence was proved obeying the Bernoulli distribution and then a measurement matrix was constructed by it. Simulation results showed that the measurement matrix has equal performance with random matrix and chaotic matrix. Chebyshev-Bernoulli measurement matrix showed more excellent performance in reconstruction for infrared image.
出处
《四川大学学报（工程科学版）》
CSCD
北大核心
2015年第S2期155-160,共6页
Journal of Sichuan University (Engineering Science Edition)
关键词
压缩感知
测量矩阵
混沌系统
贝努利分布
扩频序列
compressed sensing
measurement matrix
chaotic system
Bernoulli distribution
spread spectrum sequence
