次级通道模型误差下滤波X型最小均方差算法性能的分析  

Analysis on the performance of FXLMS algorithm with secondary path modeling error

作　　者：孙旭[1] 陈端石[1] 

机构地区：[1]上海变通大学动力与能源工程学院,上海200030

出　　处：《声学学报》2003年第1期73-78,共6页Acta Acustica

摘　　要：分别从时域和频域对滤波X型LMS算法(即FXLMS算法)的性能进行分析,分析表明次级通道模型误差对FXLMS算法影响的大小取决于其相对误差随频率的分布,当相对误差不随频率而变化时,次级通道模型误差将不再对FXLMS算法的性能产生影响。其次证明了FXLMS算法的一个极限性质,该性质表明当滤波器的长度足够大时,次级通道模型误差对FXLMS算法没有影响,故通过提高滤波器的长度可以补偿模型误差对性能带来的负面影响。最后,给出了FXLMS算法“溢振”现象的机理。Performance analysis of filtered-X LMS algorithm with secondary path modeling error is carried out in both time and frequency domain. It is shown firstly that the effects of secondary path modeling error on the performance of FXLMS algorithm are determined by the distribution of the relative error of secondary path model along with frequency. In case of that the distribution of relative error is uniform the modeling error of secondary path will have no effects on the performance of the algorithm. In addition, a limitation property of FXLMS algorithm is proved, which implies that the negative effects of secondary path modeling error can be compensated by increasing the adaptive filter length. At last, some insights into the 'spillover' phenomenon of FXLMS algorithm are given.

关 键 词：次级通道模型误差 性能 FXLMS算法 滤波X型最小均方差算法 ANC 噪声有源控制 

分 类 号：O429[理学—声学]