Underdetermined Blind Source Separation Algorithm Based on Normal Vector of Hyperplane
基于超平面法矢量的欠定盲信号分离算法

Discussion of blind signal separation problem under underdetermined case(i.e.,the case of less observed signals than sources)is presented.First,a formula to calculate the normal vector of any hyperplane is given and a mixing matrix recovery algorithm based on the normal vector of any hyperplane is proposed.Second,for audio signal,k-source intervals are introduced and a method to detect them is proposed.So,the algorithms under the k-SCA condition are extended to blind non-sparse signal separation.To reconstruct the sources,a new algorithm is proposed to simplify the l~1-norm solution.Several experiments demonstrate the performance of the proposed algorithm.