Research on the construction algorithm of measurement matrix based on mixed chaotic

In order to improve the performance of measurement matrix, an algorithm of measurement matrix construction based on XOR mixed chaotic sequence is proposed. Based on Chebyshev chaotic map and advanced Logistic chaotic mapping, a mathematical model of the mixed chaotic map was proposed. By the method of threshold function, real value quantitative chaotic sequence for binary and real value of chaotic sequence can be converted to binary chaotic sequence.Then the mixed chaotic sequence is obtained by combining the two binary chaotic sequences in the way of XOR. Finally, the mixed chaotic sequence is constructed into the compressed sensing measurement matrix by means of cyclic shift. The experimental results show that the success rate of the reconstruction of the measurement matrix constructed by the algorithm is improved, and the PSNR of the measurement matrix is improved by about 12 dB when the compression ratio is less than 0.4.