线性非奇异盲信号混叠的分离矩阵个数  

Number of the Separation Matrixes in the Linear Nonsingular Mixture of Blind Signals

作　　者：肖明[1] 谢胜利[1] 

机构地区：[1]华南理工大学电子与信息学院,广东广州510640

出　　处：《华南理工大学学报（自然科学版）》2004年第10期41-45,共5页Journal of South China University of Technology(Natural Science Edition)

基　　金：国家杰出青年科学基金 (6 0 32 5310 );教育部跨世纪人才培养计划基金;国家自然科学基金资助项目(6 0 2 74 0 0 6 );广东省自然科学重点基金资助项目 (0 2 0 82 6 )

摘　　要：为了探寻线性非奇异盲信号混叠的不同分离算法有不同分离矩阵的原因 ,在改进的盲信号分离模型下 ,证明了一个理论结果 :如果不考虑线性比例缩放 ,仅考虑旋转因素 ,分离矩阵的确切数目是源信号个数的阶乘 .文中利用代数理论和二阶统计量方法 ,提出了通过求解二次非线性代数方程组来得到分离矩阵的算法 ,同时介绍了一种利用矩阵变换的分离矩阵求解方法 .仿真结果证实了理论分析的正确性 .In order to investigate the reason for different separation matrixes of different algorithms in the linear nonsingular mixture of blind signals, a theoretical result is proved for the modified model of blind signal separation (BSS): if we only take into account the rotating factors while ignoring the linear proportion zoom factors, then the exact number of the separation matrixes is the factorial of the source number. A new algorithm to get the separation matrixes is then proposed. In this algorithm,the separation matrixes are obtained by solving some quadratic nonlinear equations,and the algebraic theory and second-order statistic method are adopted. Meanwhile, a method to get the separation matrixes by means of the matrix transform is also introduced in the paper. The simulation results have verified the correctness of the theoretical result.

关 键 词：盲信号分离 分离矩阵 同时对角化 旋转因素 

分 类 号：TN912.3[电子电信—通信与信息系统]