A VSSLMS algorithm based on error autocorrelation

This paper proposes a new variable step-size (VSS) LMS algorithm. Since the step-size adjusting process and misadjustment parameter are affected by measurement noise, VSS approaches based on the error signal autocorrelation add some immunity against such an undesired signal. Thus, an existing approach uses a lag(1) error signal autocorrelation function obtaining good results, in the proposed one, lag(1),lag(2),...,lag(N) error signal autocorrelation functions are used. The computational complexity increase due to the use of several lags is small. Numerical simulations verify the performance of the proposed algorithm, assessed in a system identification problem.