基于SCM的自适应抽头伪随机相位生成算法  

Self adaptive tapped pseudo random phase generation algorithm based on standard chaotic map

作　　者：刘立[1] 张衡阳[1] 毛玉泉[1] 孙乐[1] Liu Li Zhang Hengyang Mao Yuquan Sun Le(School of Information ＆ Navigation, Air Force Engineering University, Xi＇an 710077, China)

机构地区：[1]空军工程大学信息与导航学院,西安710077

出　　处：《计算机应用研究》2016年第12期3809-3811,3827,共4页Application Research of Computers

基　　金：国家自然科学基金资助项目(61202490);航空科学基金资助项目(20150896010)

摘　　要：为使基本调制波形的相位随机性最大化以提高变换域通信系统的射频隐身性能，提出基于标准混沌映射（standard chaotic map，SCM）的自适应抽头伪随机相位生成算法。首先由标准混沌映射产生混沌现象，通过中值法对混沌数值进行二元量化生成伪随机序列，结合映射抽头的“跳变图案”，在线性移位寄存器中自适应地选取抽头进行伪随机相位生成，由此推导出检测概率与截获概率的解析式，将低概率检测与低概率截获的目标转换为控制参数的优化，从而使相位随机性最大化。理论分析与仿真结果表明，该算法生成基本调制波形（fundamental modulation waveform，FMW）的检测概率为现有m序列FMW检测概率的1/μ×（2^n-1），降低了检测概率，因而也降低了截获概率，增加了截获难度。To maximize the phase randomness of fundamental modulation waveform （FMW） and therefore improve the radio frequency （RF） stealth performance of transform domain communication system （ TDCS）, this paper proposed a self adaptive tapped pseudo random phase generation algorithm based on standard chaotic map. In the algorithm, chaotic sequences were generated throilgh standard chaotic map, and then pseudo random binary sequences were produced through median method. Combined with the adaptive ＂hopping map＂, the pseudo random phases could be obtained in the linear shift register. Furthermore, the analytic expression of low probability of interception/low probability of detection （LPI/LPD） was derived, on the basis of which the control parameters were optimized to maximize the phase randomness. Finally, theoretical analysis and simulation results show that with this algorithm adopted, the detection probability of FMW is 1/μ x （2^n - 1 ） that of existed method using m sequences, where the probability of detection is effectively reduced. Therefore, the probability of interception is reduced and the difficulty of acquisition is increased.

关 键 词：变换域通信系统 基本调制波形 低概率截获/低概率检测 标准混沌映射 

分 类 号：TN919[电子电信—通信与信息系统]