一种混沌伪随机序列复杂度分析方法

为衡量混沌伪随机序列的随机本质,文中提出用增强统计复杂度方法分析混沌伪随机序列的复杂度.以Logistic映射和耦合映像格子映射产生的混沌序列和多进制混沌伪随机序列为例,说明了该方法的应用;通过改进排列模式,使之对二进制混沌伪随机序列同样适用.实验结果表明该方法能呈现序列的相关结构,反映序列的随机本质,可用于准确度量混沌系统产生的伪随机序列的复杂度,且计算简单.

A Way to Complexity Analysis of Chaotic Pseudorandom Sequence

To measure the random essential of chaotic pseudorandom sequence, a method using intensive statistical complexity to analyze chaotic pseudorandom sequence and determine its complexity is proposed in this paper. Based on chaotic sequence and octal chaotic pseudorandom sequence produced by Logistic map and one-way coupled lattice, a example is made to demonstrate how it works. By improve the permutation patterns, the method is applicable to binary chaotic pseudorandom sequence. Simulations indicate that the method is effective to reflect the complexities of different chaotic pseudorandom sequences produced by chaotic system, and it is superior to the entropy measure method.