| 线性非奇异盲信号混叠的分离矩阵个数 |
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| 引用本文： | 肖明,谢胜利.线性非奇异盲信号混叠的分离矩阵个数[J].华南理工大学学报(自然科学版),2004,32(10):41-45. |
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| 作者姓名： | 肖明 谢胜利 |
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| 作者单位： | 华南理工大学,电子与信息学院,广东,广州,510640 |
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| 基金项目： | 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 ) |
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| 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．
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| 关 键 词： | 盲信号分离 分离矩阵 同时对角化 旋转因素 |
| 文章编号： | 1000-565X(2004)10-0041-05 |
| 修稿时间： | 2003年11月10 |
Number of the Separation Matrixes in the Linear Nonsingular Mixture of Blind Signals |
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| Xiao Ming,Xie Sheng-li.Number of the Separation Matrixes in the Linear Nonsingular Mixture of Blind Signals[J].Journal of South China University of Technology(Natural Science Edition),2004,32(10):41-45. |
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| Authors: | Xiao Ming Xie Sheng-li |
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| Abstract: | 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. |
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| Keywords: | blind signal separation separation matrix simultaneous diagonalization rotating factor |
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