Theoretic analysis of the γ-LMS algorithm

Wen-Rong Wu; Po Cheng Chen

doi:10.1109/APCCAS.1994.514580

Theoretic analysis of the γ-LMS algorithm

Wen-Rong Wu^*, Po Cheng Chen

^*此作品的通信作者

電機工程學系

研究成果: Paper › 同行評審

摘要

The AR modeling is widely used in signal processing. The coefficients of AR model can be easily obtained by a LMS prediction error filter. However, it is known that such filter will give bias coefficients when the input signal is corrupted by noise. In previous works, Treicher [1] suggested the γ-LMS algorithm to reduce the bias problem caused by Gaussian noise. This paper gives the theoretical analysis of the γ-LMS algorithm. We derive the close form solution of the second order statistics of the tap-weight vector. Computer simulation are provided to show the accuracy of our theoretical results.

原文	English
頁面	382-387
頁數	6
DOIs	https://doi.org/10.1109/APCCAS.1994.514580
出版狀態	Published - 5 12月 1994
事件	Proceedings of the 1994 IEEE Asia-Pacific Conference on Circuits and Systems - Taipei, Taiwan 持續時間: 5 12月 1994 → 8 12月 1994

Conference

Conference	Proceedings of the 1994 IEEE Asia-Pacific Conference on Circuits and Systems
城市	Taipei, Taiwan
期間	5/12/94 → 8/12/94

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10.1109/APCCAS.1994.514580

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AB - The AR modeling is widely used in signal processing. The coefficients of AR model can be easily obtained by a LMS prediction error filter. However, it is known that such filter will give bias coefficients when the input signal is corrupted by noise. In previous works, Treicher [1] suggested the γ-LMS algorithm to reduce the bias problem caused by Gaussian noise. This paper gives the theoretical analysis of the γ-LMS algorithm. We derive the close form solution of the second order statistics of the tap-weight vector. Computer simulation are provided to show the accuracy of our theoretical results.

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Theoretic analysis of the γ-LMS algorithm

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