Cyclotomic sequences have good cryptographic properties and are closely related to difference sets.This paper proposes a new class of binary generalized cyclotomic sequences of order two and length pqr.Its linear comp...Cyclotomic sequences have good cryptographic properties and are closely related to difference sets.This paper proposes a new class of binary generalized cyclotomic sequences of order two and length pqr.Its linear complexity,minimal polynomial,and autocorrelation are investigated.The results show that these sequences have a large linear complexity when 2∈D1,which means they can resist the Berlekamp-Massey attack.Furthermore,the autocorrelation values are close to 0 with a probability of approximately 1?1/r.Therefore,when r is a big prime,the new sequence has a good autocorrelation.展开更多
广义线性结构广泛用于解决共平台系统中同相/正交相位(in-phase/quadrature-phase,IQ)不平衡引起的自干扰镜像信号残留问题。由于在共轭项维度上的拓展,输入信号间的相关性使得用于实现权值向量自适应更新的广义线性复数最小均方(widely...广义线性结构广泛用于解决共平台系统中同相/正交相位(in-phase/quadrature-phase,IQ)不平衡引起的自干扰镜像信号残留问题。由于在共轭项维度上的拓展,输入信号间的相关性使得用于实现权值向量自适应更新的广义线性复数最小均方(widely linear complex least mean square,WLCLMS)算法出现明显的收敛速度下降。针对这一问题,本文提出了一种二维正交化方法,通过特征值分解实现输入信号在样本延时以及共轭项两个维度上的去相关。同时建立了包括格形预测器、基于梯度的白化器,以及数字对消器三级结构的自适应二维正交化WLCLMS模型,实现了时变环境中自干扰信号的实时跟踪。仿真结果表明,该方法在有效提升收敛速度的同时,有着稳定的稳态误差性能,并且针对系统采样率、滤波器阶数、IQ不平衡量的变化具有良好的鲁棒性。展开更多
基金supported by the National Key Research and Development Program of China(2016YFB0800601)the Natural Science Foundation of China(61303217+3 种基金61502372)the Fundamental Research Funds for the Central Universities(JB140115)the Natural Science Foundation of Shaanxi Province(2013JQ80022014JQ8313)
文摘Cyclotomic sequences have good cryptographic properties and are closely related to difference sets.This paper proposes a new class of binary generalized cyclotomic sequences of order two and length pqr.Its linear complexity,minimal polynomial,and autocorrelation are investigated.The results show that these sequences have a large linear complexity when 2∈D1,which means they can resist the Berlekamp-Massey attack.Furthermore,the autocorrelation values are close to 0 with a probability of approximately 1?1/r.Therefore,when r is a big prime,the new sequence has a good autocorrelation.
文摘广义线性结构广泛用于解决共平台系统中同相/正交相位(in-phase/quadrature-phase,IQ)不平衡引起的自干扰镜像信号残留问题。由于在共轭项维度上的拓展,输入信号间的相关性使得用于实现权值向量自适应更新的广义线性复数最小均方(widely linear complex least mean square,WLCLMS)算法出现明显的收敛速度下降。针对这一问题,本文提出了一种二维正交化方法,通过特征值分解实现输入信号在样本延时以及共轭项两个维度上的去相关。同时建立了包括格形预测器、基于梯度的白化器,以及数字对消器三级结构的自适应二维正交化WLCLMS模型,实现了时变环境中自干扰信号的实时跟踪。仿真结果表明,该方法在有效提升收敛速度的同时,有着稳定的稳态误差性能,并且针对系统采样率、滤波器阶数、IQ不平衡量的变化具有良好的鲁棒性。
