Construction of measurement matrix is one of the important research content in compressed sensing（ CS）. Using characteristic of pseudo randomness

ergodicity of chaotic systems

propose a method for construction of the sparse measurement matrix based on tent chaotic sequence. The method for deterministic chaotic sequence generated by the system will be interval sampling

so that the sampled sequence meet statistical independence

by symbol function mapping generate pseudo-random sequence having sparsity

thereby construct measurement matrix of chaotic sparse. Simulation experiments results show that compared with Gaussian random matrices

sparse random matrix and Bernoulli random matrix

this proposed matrix has a similar reconstruction performance. The proposed measurement matrix is deterministic when parameter of chaotic system and initial value are fixed

its computation complexity is small and it is easy to be realized by hardware.