Construction of Block Circulant Measurement Matrix Based on Hybrid Chaos: Bernoulli Sequences

With the rapid development of computer and intelligence technology, the amount of data needed to be transmitted has soared. In order to save transmission resources, we construct a Chaos-Bernoulli Block Circulant Matrix (CBBCM) based on nonlinear Hybrid chaotic map. First, by selecting the initial value and a certain sampling interval, a pseudo-random sequence satisfying the independent and identical distribution is generated on the basis of the mixed chaotic map, then, map the sequence by the sign function. In order to reduce storage space and facilitate hardware implementation, the block circulant matrix is designed. The simulation results show that the CBBCM has a good recovery effect on one-dimensional signal and two-dimensional image. When the parameters and initial values of the chaotic system are fixed, the CBBCM is deterministic and effective and overcomes the uncertainty of the random measurement matrix.