/spl γ /-LMS算法的理论分析

Proceedings of APCCAS'94 - 1994 Asia Pacific Conference on Circuits and Systems Pub Date : 1994-12-05 DOI:10.1109/APCCAS.1994.514580

Wen-Rong Wu, Po-Cheng Chen

{"title":"/spl γ /-LMS算法的理论分析","authors":"Wen-Rong Wu, Po-Cheng Chen","doi":"10.1109/APCCAS.1994.514580","DOIUrl":null,"url":null,"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 [1979] suggested the /spl gamma/-LMS algorithm to reduce the bias problem caused by Gaussian noise. This paper gives the theoretical analysis of the /spl gamma/-LMS algorithm. We derive the close form solution of the second order statistics of the tap-weight vector. Computer simulations are provided to show the accuracy of our theoretical result.","PeriodicalId":231368,"journal":{"name":"Proceedings of APCCAS'94 - 1994 Asia Pacific Conference on Circuits and Systems","volume":"85 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Theoretic analysis of the /spl gamma/-LMS algorithm\",\"authors\":\"Wen-Rong Wu, Po-Cheng Chen\",\"doi\":\"10.1109/APCCAS.1994.514580\",\"DOIUrl\":null,\"url\":null,\"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 [1979] suggested the /spl gamma/-LMS algorithm to reduce the bias problem caused by Gaussian noise. This paper gives the theoretical analysis of the /spl gamma/-LMS algorithm. We derive the close form solution of the second order statistics of the tap-weight vector. Computer simulations are provided to show the accuracy of our theoretical result.\",\"PeriodicalId\":231368,\"journal\":{\"name\":\"Proceedings of APCCAS'94 - 1994 Asia Pacific Conference on Circuits and Systems\",\"volume\":\"85 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-12-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of APCCAS'94 - 1994 Asia Pacific Conference on Circuits and Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/APCCAS.1994.514580\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of APCCAS'94 - 1994 Asia Pacific Conference on Circuits and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APCCAS.1994.514580","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

AR建模在信号处理中有着广泛的应用。通过LMS预测误差滤波器可以很容易地获得AR模型的系数。然而，众所周知，当输入信号被噪声破坏时，这种滤波器会产生偏置系数。Treicher[1979]在之前的工作中提出了/spl gamma/-LMS算法来减少高斯噪声带来的偏置问题。本文对/spl γ /-LMS算法进行了理论分析。导出了抽头权向量二阶统计量的近似解。计算机模拟表明了理论结果的准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Theoretic analysis of the /spl gamma/-LMS algorithm

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 [1979] suggested the /spl gamma/-LMS algorithm to reduce the bias problem caused by Gaussian noise. This paper gives the theoretical analysis of the /spl gamma/-LMS algorithm. We derive the close form solution of the second order statistics of the tap-weight vector. Computer simulations are provided to show the accuracy of our theoretical result.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceedings of APCCAS'94 - 1994 Asia Pacific Conference on Circuits and Systems

自引率

0.00%

发文量