A New Variable Step Size LMS Adaptive Filtering Algorithm and Its Analysis

The paper proposed a modified LMS algorithm of variable step size based on a brief analysis of traditional LMS,variable step size LMS algorithm and its improved algorithm.The novel algorithm based on nonlinear functional relationship between the step-size and the error,increases adaptively at the beginning of the algorithm or when the channel is varying with time,and it would be smaller during the steady state.So the algorithm has the excellences of faster constringency,little steady error,tracking the change of the system and avoiding the effects of the noise. The theoretical analysis and computer simulation prove that the algorithm is better than traditional LMS algorithm.