Generation Approaches of Chaotic Sequences with Controlled Probability Distribution

This paper introduces a new approach to generate sequences with controlled probability distribution. We produce the Bernoulli sequence with the chaotic system by turning the chaotic orbit spot into the binary sequence which obey a given distribution. We also sum several chaotic orbit spots to get the mean zero and given variance Gauss white noise sequence. The paper proves the distribution characteristics of the sequences and presents their probability distribution function (PDF). We get the sequences and their delta-like auto-correlation and cross-correlation curve by simulation. At the end of the paper we discuss the application of the sequences in some field such as electronic countermeasure, CDMA systems