一种新的基于伪提取矢量的欠定盲分离方法

New Method of Underdetermined Blind Source Separation Based on Pseudo Extraction Vectors

针对独立信号源的欠定盲分离,通过一定的理论分析,提出了一种基于伪提取矢量的欠定盲源分离方法。该方法通过判断采样点处取值占优的源信号,然后在观测信号采样点处选取对应的伪提取矢量,以恢复取值占优的源信号采样点的值,来实现欠定盲源分离。将该算法与经典的基于线性规划的欠定盲源分离方法进行了仿真,结果表明该方法由于在信号的各采样点处无需优化,因此大大提高了信号分离的速度,信号的分离速度要比基于线性规划的方法快数十倍。

By theory analysis,a new method based on pseudo extraction vectors was put forward for accomplishing underdetermined blind signal separation（UBSS）in the paper.The method accomplishes UBSS by judging which signal dominating for each sampling and choosing corresponding pseudo extraction vector for it to recover sampling data of source signals.Some conclusions can be seen by separately simulating the method based on pseudo extraction vectors and linear programming：the method based on pseudo extraction vectors free of optimizing process increases the velocity of separating source signals.The velocity of separating of the method based on pseudo extraction vectors is tens of times of the method based on linear programming.