An Improved LMS Adaptive Filtering Algorithm with Variable Step Size

By building a nonlinear functional relationship between μ and the error signal e(n),this paper proposes an improved variable step size LMS(Least-Mean-Square)adaptive filtering algorithm.and analyzes the algorithm with various α and β.This variable step size algorithm avoids the shortcoming of changing step size of SVSLMS(variable step size LMS based on Sigmoid function).Also in the stage of adaptive steady state it has the virtue of e(n) slightly changing at point close to zero.Theoretical analysis and computer simulations show that with the proposed algorithm,convergence rate can be improved than that of the former one.