混沌调频与相位编码信号混沌性分析  

Chaotic Behaviors of Chaotic Frequency Modulated and Phase Coded Signals

作　　者：袁琳[1] 杨进[2] 邱兆坤[2] 

机构地区：[1]邵阳学院理学与信息科学系,湖南邵阳422004 [2]国防科技大学电子科学与工程学院空间所,湖南长沙410073

出　　处：《控制工程》2012年第4期723-727,共5页Control Engineering of China

基　　金：湖南省科技厅计划项目(2011FJ4129)

摘　　要：为探讨混沌的雷达波形适用性,着重研究分析不同混沌映射、不同调制方式下混沌调制雷达波形的混沌行为。介绍了混沌调频和混沌相位编码雷达信号模型,重点从数学上推导了混沌调制后雷达信号的混沌特性关系,认为调制后信号的混沌性不能从理论得到保证,信号的混沌性具有不确定性。为获取调制信号较好的自相关函数性能,在分析李亚普洛夫指数求取的基础上,进一步强化条件,给出了混沌保留的充分条件。应用四类离散混沌映射分别产生频率调制和二相编码混沌雷达信号,分析比较了各情况下信号的相关函数性能,从仿真角度验证了理论分析,指出Bernoulli映射具有最佳的混沌频率调制性能,而Congruent混沌映射不适合混沌相位编码信号使用。该分析方法对于实际工程中指导混沌雷达波形设计具有重要现实意义。Chaotic behavior of chaotic based modulated radar signal is mainly investigated to guide chaotic radar waveform design. Models of chaotic frequency modulated and phase coded signals are firstly introduced; whether modulated signals are chaotic or not is then investigated from theoretic analysis in detail; we point out that whether the chaotic behavior is sustained or not is uncertain; to obtain good correlation performance, a sufficient condition for strengthening chaotic behavior is proposed based on the analysis of LY （ Lya- punov Exponent） ; at last the uncertainty property of the modulated signals is validated by computer simulation, which adopting four kinds of discrete chaotic maps to frequency modulated and bi-phase coded signals, respectively. We point out that Bernoulli map is adaptive for frequency modulation while Congruent are not adaptive for phase coding. The analyzing method is meaningful for guiding chaotic radar waveform design.

关 键 词：混沌调频 混沌相位编码 混沌雷达 李雅普诺夫指数 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]