多分量调频信号源混合相交非正交联合对角化盲分离  

NOJD for multi-components FM source mixed signal separation based on time-frequency distributions

作　　者：李纪永[1] 李舜酩[1] 田国成 陈晓红[3] 王勇[1] 

机构地区：[1]南京航空航天大学能源与动力学院,江苏南京210016 [2]山东中实易通集团有限公司,山东济南250000 [3]南京航空航天大学理学院,江苏南京210016

出　　处：《振动工程学报》2015年第4期633-639,共7页Journal of Vibration Engineering

基　　金：西安交通大学机械结构强度与振动国家重点实验室开放课题(SV2015-KF-01);中央高校基本科研业务费专项资金资助项目(NZ2015103);国家自然科学基金青年科学基金资助项目(61403193)

摘　　要：针对多分量调频信号源混合相交时频分布盲分离,提出白化-均匀加权非正交联合对角化(Whitening-Uniformly Weighted Exhaustive Diagonalization using Gauss iteration,简称W-UWEDGE)方法估计混合矩阵。白化对相关信号去冗余处理,无需约束源信号概率密度形式,仅限制源之间整个时频面上无完全重合成分,非正交联合对角化则针对复数域。首先将非正交联合对角化可辨识性从时延平面推广至二次型时频平面,然后利用基于白化处理的梯度范数选择自项时频点(auto-time frequency point),进而利用均匀加权近似联合对角化方法估计混合矩阵,分析Amari error值随信噪比及时频矩阵个数的变化规律,与针对混合信号时间历程及时频分布的两类分离方法进行性能比较,显示出所提盲分离方法的优越性。最后应用于转子运行状态识别与齿轮复合故障源分离。仿真与实验数据分析表明所提出方法分离多分量调频相关源的有效性。Aimed to mixed multi-components FM（Frequency Modulation）sources blind separation problem,a new method named Whitening-Uniformly Weighted Exhaustive Diagonalization using Gauss iteration（W-UWEDGE）is proposed,whitening procedure is used for redundancy compression,there are no constraints on statistical properties,only no overlapping components on whole TF plane condition is required,the nonorthogonal joint diagonalization method is used in complex field.Firstly,identifiability from time-lag plane to quadratic time-frequency plane is extended.Secondly,gradient norm method based on whitening is employed to select autosource（Time-Frequency）TF points,then estimated mixed matrix is evaluated by UWEDGE method,meanwhile the Amari error value is calculated with changes of SNR and number of TF matrixes,numerical performance of several BSS methods aimed to time-history and TF distribution was compared,the results show that the proposed method W-UWEDGE gains better performance.Lastly,the method is employed in the rotor operating state identification and composite gear fault source separation.Simulation and experiments show that the proposed method can separate multi component FM sources efficiently.

关 键 词：多分量调频信号 二次型时频分布 白化 非正交联合对角化 盲源分离 

分 类 号：TN911.7[电子电信—通信与信息系统]