Geometrical Analysis of Underdetermined Blind Source Separation Based on Linear Array

This paper models the problem of underdetermined blind source separation using linear array and discusses the effect of space distribution of sources on underdetermined blind source separation.At present,underdetermined blind source separation is mainly discussed in the context of sparse component analysis and is usually resolved by means of two-step strategy.The characteristic that linear mixture of sparse source signals clusters along vectors of mixing matrix is used to estimate the mixing matrix.It is theoretically analyzes that mixing matrix can not be correctly estimated when sources are located in some areas using linear clustering method.Hence,underdetermined blind source separation is intractable.Simulations confirm the correctness of theoretical analysis.