基于切比雪夫扩频序列的测量矩阵构造算法(研究生论坛)

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，本文提出了一种基于切比雪夫－贝努利序列构造测量矩阵的算法。提出了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，并证明了其扩频序列服从贝努利分布特性，进一步提出由其扩频序列构造压缩感知测量矩阵的方法。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，本方法具有更好的重构性能。

Measurement matrix construction algorithm based on Chebyshev spreading sequence

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 this paper. It used Chebyshev chaotic system to generate the chaotic sequence, then used 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 had been constructed by it. Simulation results show that the measurement matrix in this paper had equal performance with random matrix and chaotic matrix. Chebyshev-Bernoulli measurement matrix show more excellent performance in reconstruction for Infrared image..