Title :
Performance comparison between the filtered-error LMS and the filtered-X LMS algorithms [ANC]
Author :
Miyagi, Shigeyki ; Sakai, Hideaki
Author_Institution :
Dept. of Syst. Sci., Kyoto Univ., Japan
Abstract :
Several properties of the filtered-error (filtered-E) least mean square (LMS) algorithm, such as the stability condition, the upper limit of the step size and the variance of the error signal are quantitatively evaluated and compared with the those of the filtered-X LMS algorithm. For this purpose, the averaging method and the ordinary differential equation (ODE) method are applied to the frequency domain expression of both algorithms. From the averaged system, it is demonstrated that the stability condition and the upper limit of the step size of the filtered-E LMS algorithm are the same as those of the filtered-X LMS algorithm. On the other hand, from the ODE analysis, it is shown that the excess mean square error of the filtered-E LMS algorithm is two thirds of that of the filtered-X LMS algorithm
Keywords :
active noise control; adaptive control; feedforward; frequency-domain analysis; mean square error methods; active noise control; adaptive feedforward control; averaging method; error signal variance; excess mean square error; filtered-X LMS algorithm; filtered-error LMS algorithm; frequency domain expression; ordinary differential equation; stability condition; step size; Aging; Covariance matrix; Delay; Discrete Fourier transforms; Equations; Error correction; Filtering; Large scale integration; Least squares approximation; Transfer functions;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.921157
