欠定条件下同步组网跳频信号盲源分离方法

2020年10月October 2020第46卷第10期

Vol. 46 No. 10

计算机工程Computer Engineering •移动互联与通信技术•文章编号：1000-3428(2020) 10-0166-07 文献标志码：A 中图分类号：TP393

欠定条件下同步组网跳频信号盲源分离方法

王少波，郭英，睦萍，李红光，杨鑫

油品分析(空军工程大学信息与导航学院，西安710077)

摘要：为实现欠定条件下同步组网多跳频信号的盲源分离，提出一种基于平行因子分析模型与子空间投影法的跳频信号分离方法。通过计算跳频信号时延相关矩阵构造三阶张量，将混合矩阵估计问题转化为

带馅面条张量CP 分解问题。同时改进用于CP 分解的经典最小二乘(ALS)算法，使用直接三线性分解方法粗估加载矩阵作为ALS 初始迭代矩阵，在迭代过程中采用标准线搜索加速收敛得到混合矩阵。在此基础上，利用子空间投影法完成跳频信号的盲源分离，并剔除离散噪点进一步优化分离效果。仿真结果表明，该方法能够有效提高混合矩阵估计精度，改善源信号恢复效果。

关键词：同步组网；跳频信号；欠定盲源分离；平行因子分析;CP 分解；子空间投影

开放科学(资源服务)标志码(°SID)：^J

中文引用格式：王少波，郭英，哇萍，等.欠定条件下同步组网跳频信号盲源分离方法[J].计算机工程,2020,46(10): 166- 172,181.

英文引用格式:WANG Shaobo,GUO Ying ,SUI Ping ,et al. Blind source separation method for frequency-hopping signal in synchronous networking under underdetermined condition [ J ]. Computer Engineering ,2020,46(10) ：166-172,181.

Blind Source Separation Method for Frequency-Hopping Signal in

化纤抽丝Synchronous Networking Under Underdetermined Condition

WANG Shaobo,GUO Ying,SUI Ping,LI Hongguang ,YANG Xin

(Institute of Information and Navigation, Air Force Engineering University ,Xi J an 710077 ,China)ei硅钢片

[Abstract] To implement blind source separation of frequency-hopping signals in synchronous networking under underdetermined conditions , this paper proposes a frequency-hopping signal separation method based on the parallel factor analysis model and subspace projection method. The method calculates the time-delay correlation matrix of the frequency - hopping signals to construct the third-order tensor,and thus the hybrid matrix estimation problem is transformed into the tensor Canonical-Polyadic ( CP ) decomposition problem. Meanwhile, the classic Alternating Least Square ( ALS ) algorithm for CP decomposition is improved. The direct trilinear decomposition method is used to roughly estimate the loading matrix , which then serves as the initial iterative matrix of ALS. During the iterations ,the standard linear search is used to accelerate the convergence , and the hybrid matrix is estimated. On this basis , the subspace projection method is used to complete the blind source separation of the frequency-hopping signals , and the separation result is optimized by ruling out the discrete noises. Simulation results show that this method can effectively improve the estimation accuracy of mixed matrix and the recovery effect of source signal.

[Key words] synchronous networking ； frequency-hopping signal ； underdetermined blind source separation ； parallel factor analysis ； Canonical ・Polyadic( CP) decomposition ； subspace projection外脚手架定型化钢板网

DOI ： 10. 19678/j. issn. 1000-3428. 0055293

0概述

跳频扩频(Frequency-Hopping Spread Spectrum ,

FHSS)是指使用伪随机码进行频移键控，使得信号发射的载波频率不断跳变同时频谱得到扩展的方法⑴。FHSS 技术具有保密性和组网能力强的优点，将其用于军用通信，能够有效避开干扰，保证通信效能。

基金项目：国家自然科学基金(61601500) 0

作者简介：王少波(1994—)，男，硕士研究生，主研方向为通信侦査信号处理；郭英，教授、博士、博士生导师；哇萍、李红光，博士研究生; 杨鑫，硕士研究生。

收稿日期：2019-06-24 修回日期：2019-09-05 E-mail ： 1120359719@ qq.

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