New Variable Step Size LMS Adaptive Algorithm

The problem of step size selection for adaptive least mean squares(LMS) filtering algorithm is studied.A new variable step size LMS algorithm with improved hyperbolic tangent function is presented,which is derived by an extensive review of existing LMS algorithms.With the same convergence properties,the new algorithm has less excess mean square error(MSE);and with the same excess MSE,it has better convergence properties.Computer simulation results confirm the theoretical analysis and show that the algorithm is superior to the former algorithms in performance.