2014•Hu'nan Shifan Daxue xuebao. Ziran kexue banRequires access

New Variable Step-Size LMS Algorithm Based on Hyperbolic Sine Function

Luo Hai-f

Abstract

The adaptive minimum mean square error( LMS) filtering algorithm step was studied. Based on analyzing the existing variable step size LMS algorithm,through mathematical changes on the hyperbolic sine function,a function is set up between step size factor u( n) and the error signal e( n) function,and a new variable step size LMS algorithm is proposed based on the hyperbolic sine function,and the influence of parameter a,b,c value on the performance of the algorithm was analyzed. Simulation results show that the proposed algorithm significantly outperforms the fixed step size LMS algorithm and SVS-LMS algorithm in convergence speed and steady-state error.

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Key concepts: Least mean squares filter, Convergence (economics), Mathematics, Algorithm, Hyperbolic function, Sine, Variable (mathematics), Function (biology)