基于累积张量分解的雷达信号欠定盲分离算法  

Underdetermined blind separation of radar signals based on tensor decomposition

作　　者：艾小凡[1] 罗勇江[1] 赵国庆[1] 

机构地区：[1]西安电子科技大学电子信息攻防对抗与仿真技术教育部重点实验室,陕西西安710071

出　　处：《系统工程与电子技术》2016年第11期2505-2509,共5页Systems Engineering and Electronics

基　　金：中央高校基本科研业务费专项资金(FP11015020004)资助课题

摘　　要：针对时域和频域不充分稀疏条件下的雷达信号欠定盲分离问题,提出了基于信号不同时延的累积量与三阶张量分解估计混合矩阵的方法,并通过修正子空间投影算法完成对雷达源信号的恢复。首先将混合信号的四阶累积量表示成三阶张量,利用三阶张量分解获得混合矩阵估计值;通过求解雷达源信号任意时频点处对应的估计矩阵的列矢量,得到该时频点处最优超定矩阵的伪逆并恢复源信号。该算法可以解决复杂电磁环境下时频域同时混叠的雷达信号盲分离问题,仿真结果表明与现有算法相比提高了盲分离中混合矩阵估计性能和源信号恢复性能。Considering the underdetermined blind separation of radar signals which is non-disjoint in timefrequency domain, a method based on observed signals and the cumulant is proposed for estimating matrix, and then the modified subspace projection is used for recovering radar signal. Firstly, the fourth-order cumulant is constructed based on observed signals and the cumulant is expressed as the third-order tensor, the mixed matrix is estimated by tensor decomposition with enhanced line search alternating least square. Finally, the over-determined matrix, which is calculated by estimating the column vector corresponds to the active original signal at any time-frequency point, is used to complete the estimation of signal by Moore-Penrose. The proposed method can solve the blind separation of non-disjoint radar signals in the time-frequency domain under complex electroagnetic environment. Simulation results show that the proposed method outperforms the existing methods in mixed matrix estimation and source recovery.

关 键 词：盲源分离 欠定混合矩阵 四阶累积量 张量分解 子空间投影 

分 类 号：TN971[电子电信—信号与信息处理] TN911.7[电子电信—信息与通信工程]