2007Journal of China Academy of Electronics and Information TechnologyRequires access

Improved Variable Step Size LMS Algorithm and Its Application in Adaptive Prediction

Bin Liu

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Abstract

First,the paper introduces the principle of NLMS[1] and VSSLMS[7] algorithms to control the new variable step size,and their advantages and disadvantages.Based on that,an improved variable step size LMS adaptive filtering algorithm is presented,which makes use of the accumulation of the input signal and temporal error signal to control the new variable step size.The superiority of this algorithm lies in its faster convergence rate,especially in the time varying system;thus,it can be applied perfectly to the adaptive predicted system.Computer simulation results confirm the theoretical analyses and show that this algorithm has faster convergence rate,smaller misadjustment and a better stability,and can achieve better performance in lower SNR situation.

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What this paper is about

First,the paper introduces the principle of NLMS[1] and VSSLMS[7] algorithms to control the new variable step size,and their advantages and disadvantages.Based on that,an improved variable step size LMS adaptive filtering algorithm is presented,which makes use of the accumulation of the input signal and temporal error signal to control the new variable step size.The superiority of this algorithm lies in its faster convergence rate,especially in the time varying system;thus,it can be applied perfectly to the adaptive predicted system.Computer simulation results confirm the theoretical analyses and show that this algorithm has faster convergence rate,smaller misadjustment and a better stability,and can achieve better performance in lower SNR situation.

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Available abstract

First,the paper introduces the principle of NLMS[1] and VSSLMS[7] algorithms to control the new variable step size,and their advantages and disadvantages.Based on that,an improved variable step size LMS adaptive filtering algorithm is presented,which makes use of the accumulation of the input signal and temporal error signal to control the new variable step size.The superiority of this algorithm lies in its faster convergence rate,especially in the time varying system;thus,it can be applied perfectly to the adaptive predicted system.Computer simulation results confirm the theoretical analyses and show that this algorithm has faster convergence rate,smaller misadjustment and a better stability,and can achieve better performance in lower SNR situation.

Key concepts: Variable (mathematics), Convergence (economics), Adaptive filter, Rate of convergence, Least mean squares filter, Algorithm, Stability (learning theory), Computer science

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