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New Variable Step Size LMS Adaptive Algorithm

Yin Ya-fang

Open publisher page 4 citations

Abstract

The problem of step size selection for adaptive least mean squares(LMS) filtering algorithm is studied.A new variable step size LMS algorithm with improved hyperbolic tangent function is presented,which is derived by an extensive review of existing LMS algorithms.With the same convergence properties,the new algorithm has less excess mean square error(MSE);and with the same excess MSE,it has better convergence properties.Computer simulation results confirm the theoretical analysis and show that the algorithm is superior to the former algorithms in performance.

About this research paper

What this paper is about

The problem of step size selection for adaptive least mean squares(LMS) filtering algorithm is studied.A new variable step size LMS algorithm with improved hyperbolic tangent function is presented,which is derived by an extensive review of existing LMS algorithms.With the same convergence properties,the new algorithm has less excess mean square error(MSE);and with the same excess MSE,it has better convergence properties.Computer simulation results confirm the theoretical analysis and show that the algorithm is superior to the former algorithms in performance.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The problem of step size selection for adaptive least mean squares(LMS) filtering algorithm is studied.A new variable step size LMS algorithm with improved hyperbolic tangent function is presented,which is derived by an extensive review of existing LMS algorithms.With the same convergence properties,the new algorithm has less excess mean square error(MSE);and with the same excess MSE,it has better convergence properties.Computer simulation results confirm the theoretical analysis and show that the algorithm is superior to the former algorithms in performance.

Key concepts: Least mean squares filter, Algorithm, Convergence (economics), Adaptive filter, Variable (mathematics), Hyperbolic function, Rate of convergence, Mathematics

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