Modified LMS and NLMS algorithms with a new variable step size

In this paper, the modified LMS and NLMS algorithms with variable step-size are presented. It is shown that the variable step size is computed using a ratio of the sums of weighted energy of the output error with two exponential factors alpha and beta, thus the fast error convergence of the modified LMS and NLMS algorithms can then be achieved. Also, by properly choosing the values of alpha and beta, the misadjustment can be further improved. A few simulation results are presented in support of the good performance of the proposed algorithms by comparing with other LMS-type algorithms