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 引用本文: 汤辉, 王殊. 基于稳健联合分块对角化的卷积盲分离. 自动化学报, 2013, 39(9): 1502-1510.
TANG Hui, WANG Shu. Robust Joint Block Diagonalization Based Convolutive Blind Source Separation. ACTA AUTOMATICA SINICA, 2013, 39(9): 1502-1510. doi: 10.3724/SP.J.1004.2013.01502
 Citation: TANG Hui, WANG Shu. Robust Joint Block Diagonalization Based Convolutive Blind Source Separation. ACTA AUTOMATICA SINICA, 2013, 39(9): 1502-1510.

Robust Joint Block Diagonalization Based Convolutive Blind Source Separation

• 摘要: 针对卷积盲分离问题,提出一种新的矩阵联合分块对角化(Joint block diagonalization, JBD)算法. 现有的迭代非正交联合分块对角化算法都存在不收敛的情况,本文利用分离矩阵的特殊结构确保其可逆性,使得算法的迭代过程稳定. 在已知矩阵分块结构的条件下,首先,将卷积盲分离模型写成瞬时形式,并说明其满足联合分块对角化结构; 然后,提出联合分块对角化的代价函数,依据代价函数的最小化等价于矩阵中每个分块的范数最小化, 将整个分离矩阵的迭代更新转化成每个分块的迭代更新;最后,利用最小化条件得到迭代算法. 实数和复数两种情况下的算法都进行了推导.基本实验验证了新算法在不同条件下的性能; 仿真实验中对在时域和频域都重叠的信号的卷积混合进行盲分离,实验结果验证了新算法具有更好的分离性能和更稳定的分离能力.
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出版历程
• 收稿日期:  2012-04-25
• 修回日期:  2012-06-29
• 刊出日期:  2013-09-20

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