Performance analysis of FXLMS algorithm with secondary path modeling error

Performance analysis of filtered-X LMS(FXLMS) 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.