Abstract

Abstract In order to solve the problems of simple, low complexity and weak confidentiality in the generation of single chaotic sequence, a new chaotic sequence generation method based on xor was proposed by adding chaotic sequences generated by Logistic mapping and Chebyshev mapping. We analyze and study the chaotic sequences generated by the algorithm through computer simulation. The correlation, pseudo-randomness and balance of the new chaotic sequence generated by this method are studied and tested. Simulation results show that the generated chaotic sequences have a good pseudorandom performance, correlation performance, and balance performance. Therefore, the new chaotic sequence is suitable for the construction of compressive sensing measurement matrix, and the accurate reconstruction of one-dimension signal can be realized by the Mixed Chaotic - Bernoulli matrix (MCB).

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