A new blind separation approach to ill-condition mixed sources

In this paper, we discuss solution property for blind separation of ill-condition mixed sources and therefore derive a sufficient and necessary condition. Further, we present a new contrast function, through which a new algorithm is proposed to directly separate the sources without time-consuming iterative steps. Under a loose condition, It is proved that any source signals theoretically satisfying the condition can he successfully separated by our method. The computer simulation shows its outstanding performance on blind source separation.