New Variable Step Size LMS Algorithm Based on Hyperbolic Tangent Function
LI Junyi
DENG Zhixiang
Abstract：Aiming at the problem that the convergence rate and steady-state error of the adaptive least mean square(LMS)fil-tering algorithms with fixed step size cannot be satisfied simultaneously,a new adaptive algorithm with variable step size based on the hyperbolic tangent function is proposed in this paper.A nonlinear functional relationship between the step size factor μ(n)and the error e(n)is constructed.Introducing three parameters α,β and m,a new step size adjustment formula is designed such that faster convergence rate can be achieved with lager step size factor in the initial stage of the iteration and lower steady-state error can be obtained with smaller step size as the algorithm approaches the convergence.The performance of the proposed algorithm with pa-rameters α,β and m is simulated and analyzed.The simulation results show that the algorithm proposed in this paper has faster con-vergence rate,lower steady-state error and better tracing ability than the other traditional adaptive LMS algorithms.
Keywords：least mean square algorithmhyperbolic tangent functionvariable step size algorithm
Publication Date：2024-08-20
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 2272-2278 )