A VS-LMS algorithm using normalized absolute estimation error

Variable step size LMS(VS-LMS) algorithms improve the performance of the LMS algorithm by means of varying the step size. This paper presents a new VS-LMS algorithm using normalized absolute estimation error. Normalizing the estimation error to the expected value of the desired signal, we determined the step size using the relative size of estimation error. Because the parameter and computational load is less, our algorithm is easy to implement in hardware. The performance of the proposed algorithm is analyzed theoretically and estimated through simulations. Based on the theoretical analysis and computer simulations, the proposed algorithm is shown to be effective compared to conventional VS-LMS algorithms.