基于累积张量分解的雷达信号欠定盲分离算法

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。

基于张量正则分解的时频混叠信号欠定盲分离方法

针对时频同时混叠条件下的欠定盲源分离(UBSS)问题,提出了一种基于四阶累积量(FO)与张量正则分解相结合的算法。首先构建观测到的混合信号的四阶累积量,并利用高阶累积量的"半不变性"将其表示成四阶张量的形式,然后采用线性搜索迭代最小二乘算法对张量进行分解并获得混合矩阵的估计,最后根据估计出的混合矩阵,采用最小均方误差波束形成器算法,完成源信号的恢复。仿真结果表明该方法的有效性,与已有算法相比提高了信号盲分离的性能。

A two-stage frequency-domain blind source separation method for underdetermined instantaneous mixtures

In order to decrease the probability of missing some data points or noises being added in the inverse truncated mixing matrix （ITMM） algorithm, a two-stage frequency- domain method is proposed for blind source separation of underdetermined instantaneous mixtures. The separation process is decomposed into two steps of ITMM and matrix completion in the view that there are many soft-sparse （not very sparse） sources. First, the mixing matrix is estimated and the sources are recovered by the traditional ITMM algorithm in the frequency domain. Then, in order to retrieve the missing data and remove noises, the matrix completion technique is applied to each preliminary estimated source by the traditional ITMM algorithm in the frequency domain. Simulations show that, compared with the traditional ITMM algorithms, the proposed two-stage algorithm has better separation performances. In addition, the time consumption problem is considered. The proposed algorithm outperforms the traditional ITMM algorithm at a cost of no more than one- fourth extra time consumption.