Normalization Variable Step Size LMS Algorithm Based on Exponential Function

This paper proposes a new variable step size Normalized Least Mean Square(NLMS) algorithm based on exponential function according to NLMS.A function relationship is established between signal error and step size μ,and the contradiction between convergence speed and maladjustment error is solved.Simulation experimental results show that the ameliorative LMS algorithm has faster convergence speed and smaller maladjustment error than the commonly LMS algorithm and a variable step size LMS algorithm based on hyperbolic tangent function.