关键词: 混合矩阵, 病态, 盲信号提取, 可提取性, 非高斯性

Abstract: Based on the character of the rank，a kind of criterion about the probability of Blind Signal Extraction（BSE） is put forward when the mixing matrix is ill-conditioned（singular or underdetermined）.A kind of fast extraction algorithm is put forward.The fourth-order cumulants about the extraction signals and the signals observed are only used so that the complication of the calculations is reduced.The precision is improved because the error of the extraction signals forward is not cumulated for the extraction signals backward.The algorithm is simple.Simulation results illustrate the efficiency and the good performance of the algorithm.

Key words: mixing matrix, ill-conditioned case, Blind Signal Extraction（BSE）, probability of extraction, non-Gauss