Title :
Statistical analysis of the FXLMS algorithm with a nonlinearity in the secondary-path
Author :
Costa, Márcio H. ; Bermudez, José C M ; Bershad, Neil J.
Author_Institution :
Biomed. Instrum. Group, Univ. Catolica de Pelotas, Brazil
Abstract :
This paper presents a statistical analysis of the filtered-X least mean square (FXLMS) algorithm with a nonlinearity in the secondary path. The nonlinearity is a scaled error function and models the saturation behavior of the transducers and associated hardware. Deterministic nonlinear recursions are derived for the mean weight and mean square error (MSE) behavior for white Gaussian inputs and slow adaptation. Monte Carlo simulations show excellent agreement with the behavior predicted by the theoretical models. The analytical results suggest small nonlinear effects have a significant impact on the converged MSE
Keywords :
Monte Carlo methods; active noise control; adaptive filters; adaptive signal processing; least mean squares methods; statistical analysis; FXLMS algorithm; Monte Carlo simulations; converged MSE; deterministic nonlinear recursions; filtered-X least mean square; mean square error; mean weight; nonlinear effects; saturation behavior; scaled error function; secondary-path nonlinearity; statistical analysis; white Gaussian inputs; Adaptive algorithm; Adaptive filters; Biomedical computing; Biomedical engineering; Biomedical measurements; Delay estimation; Electronic mail; Least squares approximation; Statistical analysis; Transducers;
Conference_Titel :
Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-5471-0
DOI :
10.1109/ISCAS.1999.778811
