混沌论文：混沌序列特性分析及混沌同步技术研究混沌论文：混沌序列特性分析及混沌同步技术研究.docVIP

混沌论文：混沌序列特性分析及混沌同步技术研究 【中文摘要】混沌现象是在非线性动态系统中出现的一种确定性的、类似随机的过程,这种过程非周期、是一种貌似无规则的运动,不收敛但有界,且对初始值具有极其敏感的依赖性,这些独特的性质使得混沌在必威体育官网网址通信、扩频通信等领域具有很好的应用前景。随着对混沌现象研究的深入,混沌同步成为这一领域的关键课题。本文介绍了混沌的一些基本理论,包括混沌的定义、研究现状、混沌的映射以及混沌的几种典型应用。分析了四种典型混沌序列的统计特性,包括吸引子、李亚普诺夫指数、倍周期分岔、分形与维数、相位特性、功率谱特性、平衡性、游程特性、相关特性,并给出了仿真结果。介绍了线性复杂度的定义,研究了Massey算法、经典的测度熵(K-S熵)算法、近似熵(ApEn)算法、排列熵(PE)算法、原生系数(IPP)算法以及Lempel-Ziv复杂度算法,并对四种典型的混沌映射的复杂度进行了详细的对比分析,给出了各种算法复杂度分析的数值。介绍了混沌扩频通信的基本原理,提出了一种新的混沌扩频序列优选算法,并将产生的优化混沌扩频序列应用于DS/CDMA系统中,分别在不同干扰下进行了仿真,结果表明本文方法产生的优化混沌扩频序列的性能得到了很大地提高,能提供的系统容量较大,且具有很强的抗干扰能力。系统地研究了驱动—响应同步法、相互耦合同步法、关联耦合同步法以及主动—被动同步法等几种常见的混沌同步技术,包括它们的基本原理以及实例仿真。针对混沌测距系统的具体应用,设计了基于数字匹配滤波器的混沌码捕获与跟踪方案,并利用该方案设计了两种混沌测距的系统,验证了利用该系统进行测距的可行性,讨论了测距的工作过程、捕获时间和测距精度。 【英文摘要】Chaos is a convinced and similar random process that appears in the nonlinear system. It is also a non-periodic and irregular process. It is not convergent but has a bound, also it is sensitive to its initial values. For all these specical properties, chaos has good application prospect in the field of secure communication and spread spectrum communication. With the deepening studying to the chaos phenomenon, chaotic synchronization has become the improtant subject in this filed.This paper introduces the basic theories of chaos including the definition of chaos, the development of chaos technology, chaotic sequences map and their typical applications. Then the statistical properties of the four kinds chaotic sequences are analyzed, including attractor, Lyapunov exponents, bifurcation diagrams, fractal and dimension, phase characteristics, power spectrum characteristics, balance, run-length features, correlation, and the simulation results are given.The definition of linear complexity is introduced. The Massey algorithm, classical K-S entropy algorithm, approximate entropy (ApEn) algorithm, permutation entropy(PE) algorithm, index in primitive production process (IPP) algorithm and Lempel-Ziv complexity algorithm are studied. The complexities of the four kinds