摘要
研究了m序列三阶相关函数特性,证明了不同周期m序列三阶相关函数存在共同峰,推导得到共同峰的特性以及共同峰坐标与m序列本原多项式之间对应关系,基于上述理论提出了非合作通信下的非周期长码直扩信号伪随机码估计方法。加性高斯白噪声下的仿真结果表明,本方法仅需1/4倍长码周期长度信号和4 d B信噪比,估计非周期长码直扩信号的扩频码和长扰码的正确概率就可达到99%以上。
The existence of common peaks in triple correlation functions of different m-sequences is proven based on the detail study of the characteristics of triple correlation functions of m-sequences, the features of common peaks and the direct relationship between common peak coordinates and the primitive polynomials of m-sequences are deduced. An es- timation algorithm of pseudo-random （PN） codes in non-periodic long code direct-sequence spread-spectrum （NPLC-DSSS） signals is proposed based on the above theories. Simulations under additive white Gaussian noise show that the probability of spreading code and scrambling code being both correctly estimated can reach 99% when the signal with a quarter of the cycle length of the long PN code is used only and the signal-to-noise ratio is greater than 4dB.
出处
《通信学报》
EI
CSCD
北大核心
2015年第5期23-30,共8页
Journal on Communications
基金
国家自然科学基金资助项目(60972049,61401133)
浙江省自然科学基金资助项目(LY13F010019)~~
关键词
三阶相关理论
非周期长码直扩信号
共同峰
伪随机码估计
triple correlation theory
non-periodic long code direct-sequence spread-spectrum （NPLC-DSSS） signal
common peak
pseudo-random （PN） codes estimation
