Toeplitz-structured measurement matrix construction for chaotic compressive sensing

There could be difficulties in construction of random measurement matrix. A deterministic method is therefore proposed to construct hybrid chaotic map sparse toeplitz-structured (HcmST) matrix for compressive sensing in this paper. It is proved that HcmST matrix, generated based on hybrid chaos map sequence and its uniform sampling with large interval, meets the RIP characteristic with high probability. Simulation experiments show that HcmST matrix is of low accumulative coherence, and hence, support accurate signal reconstruction.