Theoretic analysis of the γ-LMS algorithm

Wen-Rong Wu*, Po Cheng Chen

*Corresponding author for this work

Research output: Contribution to conferencePaper

Abstract

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.

Original languageEnglish
Pages382-387
Number of pages6
StatePublished - 1 Dec 1994
EventProceedings of the 1994 IEEE Asia-Pacific Conference on Circuits and Systems - Taipei, Taiwan
Duration: 5 Dec 19948 Dec 1994

Conference

ConferenceProceedings of the 1994 IEEE Asia-Pacific Conference on Circuits and Systems
CityTaipei, Taiwan
Period5/12/948/12/94

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    Wu, W-R., & Chen, P. C. (1994). Theoretic analysis of the γ-LMS algorithm. 382-387. Paper presented at Proceedings of the 1994 IEEE Asia-Pacific Conference on Circuits and Systems, Taipei, Taiwan, .