欢迎访问《电讯技术》编辑部网站！

首页 期刊简介编委会征稿启事出版道德声明审稿流程读者订阅论文查重联系我们English

引用本文：

余金峰,杨文革,路伟涛,等.满映射Logistic数字混沌序列的产生及性能分析[J].电讯技术，2013，53（2）： - . [点击复制]
YU Jin-feng,YANG Wen-ge,LU Wei-tao,et al.Generation and performance analysis of digital chaotic sequence from surjective Logistic-Map[J].，2013，53（2）： - . [点击复制]

本文已被：浏览 2895次下载 1562次	码上扫一扫！
满映射Logistic数字混沌序列的产生及性能分析
余金峰,杨文革,路伟涛,王金宝
0 字体:加大+\|默认\|缩小-
(装备学院光电装备系，北京101416;洛阳电子装备试验中心，河南洛阳 471003)

摘要:

Logistic映射形式简单，但表现出了复杂的动态性能。以满映射Logistic混沌序列为对象，讨论了混沌序列数字化的两种方法，推导了数字混沌序列比特位分布概率，计算了截短数字混沌序列的相关性能。结果表明，在不变分布偶对称的情况下，两种方法得到的数字化混沌序列都是“0”“1”等概率的，截短序列的自相关函数旁瓣方差和互相关方差均等于序列长度N的倒数。对数字化Logistic混沌序列进行了数值仿真，所得结果与结论相吻合;仿真结果还显示，自相关旁瓣和互相关均服从高斯分布。研究结果使得能够从理论上对一类数字混沌序列的特性进行整体把握，超越了经验性的结论，便于在有关系统中进行应用分析。

关键词: Logistic映射混沌序列数字化扩频序列相关特性

DOI：

基金项目:

Generation and performance analysis of digital chaotic sequence from surjective Logistic-Map

YU Jin-feng,YANG Wen-ge,LU Wei-tao,WANG Jin-bao

()

Abstract:

LogisticMap is a widely studied typical discrete time nonlinear dynam ic system. Based on the surjective LogisticMap, this paper discusses two method s to digitalize chaotic sequences, induces the statistical properties of the occ urrence of “0” and “1” of the digital chaotic sequences,and investigates the correlation characteristics of the cutdown sequences. The result shows: “0” and”1” have equal probabilities in digital chaotic sequences generated by both digitalization methods when a map has symmetrical invariant distribution; the variance of correlation equals to the reciprocal of sequence length N. The t heoretical conclusions are verified by numerical simulations based on surjective LogisticMap. The simulations result also shows the correlation obeys Gauss di stribution. The theorical conclusions in this paper, rather than experiential fo rmulars, are helpful to understand the correlation properties of digital chaotic sequences.

Key words: Logistic Map chaotic sequences digitization spread spectrum sequences corr elation property