基于Lorenz三维系统的伪随机二值序列生成方法

摘要

In this paper, a method of generating pseudorandom binary sequences based on 3D Lorenz chaotic system is proposed, which can not satisfy the three stochastic assumptions of Golomb.First, three discrete random sequences are generated by the chaotic system, and then the new sequences are transformed into binary sequences by taking smaller sequence numbers in the three sequences.Through a large number of repeated tests to generate binary sequences of any larger length of the sequence can pass the frequency test and sequence test, the correlation and random performance also reached a satisfactory effect.%针对目前大多数伪随机二值序列的生成方法皆不能很好地满足Golomb的三个随机性假设,提出了一种基于三维Lorenz混沌系统的伪随机二值序列的生成方法.首先通过三维Lorenz混沌系统生成三个离散随机序列,然后在这三个序列中分别取较小的序列数轮次地组成新的序列并转换成二值序列.通过大量反复的检验,生成的二值序列中任意较大长度的序列皆能通过频数检验和序列检验,其相关性和随机性表现也都达到了较为满意的效果.