基于帕斯维尔定理的频域积分盲源分离算法  

Frequency-domain blind separation of convolutive mixtures based on Parseval's theorem

作　　者：杨青川[1] 臧传霞[1] 李天雷[2] 胡玉兰[1] 梅铁民[1] 

机构地区：[1]沈阳理工大学信息科学与工程学院,辽宁沈阳110168 [2]中航工业沈阳发动机设计研究所,辽宁沈阳110015

出　　处：《南京理工大学学报》2015年第1期102-107,共6页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学基金(61373089)

摘　　要：为了克服卷积混合信号盲源分离双最小均方(Double least mean squeres,Double-LMS)算法在分离滤波器过长时计算量过大的问题,借助于傅里叶变换理论中的帕斯维尔定理,将其转化为频域积分算法。频域积分算法可以利用快速傅里叶变换实现,具有较高的计算效率,可以克服当分离滤波器过长时原算法效率低下的问题。仿真结果表明:新算法在保持了DoubleLMS算法良好分离性能的基础上,降低了原算法的复杂度,提高了计算效率。To improve the performance of the blind source separation double least mean squeres（ Double-LMS） algorithm which is computationally inefficient if the separation filters are too long,the Double-LMS is converted to a frequency-integration algorithm with the help of Parseval＇s theorem.Fast Fourier transform is exploited to implement the proposed algorithm to overcome the low computational efficiency problem due to the too long separation filters. Simulations show that the new algorithm works as well as the Double-LMS algorithm and has higher computation efficiency.

关 键 词：卷积混合 盲源分离 双最小均方 帕斯维尔定理 频域积分算法 快速傅里叶变换 

分 类 号：TN911.72[电子电信—通信与信息系统]