Abstract:In the distributed application scenario, as the shortcoming of resources and communication bandwidth wasting caused by a large number of chaotic sequences, which constructed the measurement matrix, a algorithm of structuring circulating measurement matrix was put forward based on Chebyshev spread spectrum sequence, in which Chebyshev chaotic function was used to generate the sequence and the spread spectrum sequence got by the symbol function, generated the measurement matrix by circulating the spread spectrum sequence. At last, the sequence by circulating was proved obeying the Bernoulli distribution. Simulation results show that Compared with Chebyshev Bernoulli matrix, Bernoulli matrix , Gaussian matrix and Logistics chaotic matrix, under the same compression ratio, a new matrix on one-dimensional signal had the same recovery effect as other matrix, but had the better recovery effect on the 2d infrared image and nature image.