2012Procedia EngineeringOpen access

Variable Step Size LMS Algorithm using Squared Error and Autocorrelation of Error

Hong Chae Woo

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Abstract

A variety of different approaches in the variable step adjustment algorithm of the LMS were researched to achieve fast convergence and robustness, but the complexity of the variable step algorithm was also become higher. A variable step size LMS algorithm using squared error and autocorrelation of error is proposed to achieve fast convergence and robustness under reasonable complexity. The performance of the proposed LMS algorithm is analyzed in a stationary environment. The proposed algorithm is tested under an adaptive equalizer system and showed good convergence rate and robustness to disturbance.

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What this paper is about

A variety of different approaches in the variable step adjustment algorithm of the LMS were researched to achieve fast convergence and robustness, but the complexity of the variable step algorithm was also become higher. A variable step size LMS algorithm using squared error and autocorrelation of error is proposed to achieve fast convergence and robustness under reasonable complexity. The performance of the proposed LMS algorithm is analyzed in a stationary environment. The proposed algorithm is tested under an adaptive equalizer system and showed good convergence rate and robustness to disturbance.

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Available abstract

A variety of different approaches in the variable step adjustment algorithm of the LMS were researched to achieve fast convergence and robustness, but the complexity of the variable step algorithm was also become higher. A variable step size LMS algorithm using squared error and autocorrelation of error is proposed to achieve fast convergence and robustness under reasonable complexity. The performance of the proposed LMS algorithm is analyzed in a stationary environment. The proposed algorithm is tested under an adaptive equalizer system and showed good convergence rate and robustness to disturbance.

Key concepts: Robustness (evolution), Autocorrelation, Least mean squares filter, Rate of convergence, Algorithm, Variable (mathematics), Convergence (economics), Mean squared error

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