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.