基于Chebyshev映射的混沌特性及其性能分析  

Chaotic and Its Performance Analysis Based on Chebyshev Mapping

作　　者：石军[1] 

机构地区：[1]北京市国家保密局技术中心,北京100743

出　　处：《现代电子技术》2008年第23期93-96,共4页Modern Electronics Technique

摘　　要：分析Chebyshev映射的混沌产生机制,计算了其李雅普诺夫指数。推导其产生的混沌序列统计特性的数学表达式,说明其与白噪声的统计特性一致,适合作为扩频地址码。分析映射混沌序列的奇、偶相关特性,分别导出序列的有限长度与最大奇、偶相关特性和有限长度与自相关旁瓣、互相关均方根的数据拟合关系式,并给出了针对此扩频序列的每个信息比特所含的合适切普数。仿真结果表明该映射产生的混沌序列具有理想的线性复杂度及良好的平衡特性。The method of generating chaotic signals from the Chebyshev mapping is analyzed,and the Lyapunov exponents are calculated. The mathematical expressions of statistical properties of chaotic sequences are derived. Their statistical properties are identical with those of white noise,and they are suitable for spread - spectrum address sequences. Their odd and even correlation properties are analyzed, the approximate formulas of the maximum absolute value of the odd and even correlation properties,the root- mean- square value of the autocorrelation sidelobe and crosscorrlation function in terms of the finite length of the sequences are derived. The appropriate number of chips contained in one information bit is obtained for these spread - spectrum sequences. The computer simulation results show that the chaotic sequences have good linear complexity and balance property.

关 键 词：Chebyshev混沌映射 扩频序列 奇 偶相关函数 有限长度效应 平衡性 线性复杂度 

分 类 号：TN92[电子电信—通信与信息系统]