[1]王蕴红,刘国岁,王一丁.LMS算法中稳态均方误差的研究[J].南京理工大学学报(自然科学版),1996,(05):89-92.
　Wang Yunhong Liu Guosui Wang Yiding.The Study of Steady State Square Error in the LMS Algorithm[J].Journal of Nanjing University of Science and Technology,1996,(05):89-92.
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LMS算法中稳态均方误差的研究()
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《南京理工大学学报》（自然科学版）[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
1996年05期
页码:
89-92
栏目:
出版日期:
1996-10-30

文章信息/Info

Title:
The Study of Steady State Square Error in the LMS Algorithm
作者:
王蕴红; 刘国岁; 王一丁
南京理工大学电子工程与光电技术学院, 南京210094
Author(s):
Wang Yunhong Liu Guosui Wang Yiding
School of Electronic Engineering and Optoelectronic Technology, NUST, Nanjing 210094
关键词:
自适应滤波;  权( 数学) ;  误差
Keywords:
adapt ive f iltering;  w eig ht ( mathematics) ;  errors
分类号:
TN958
摘要:
该文详细讨论了ＬＭＳ算法中输入信号相关性、加权数目和稳态均方误差的关系。通过公式推导，从理论上证明了增加加权数目并不能保证减小稳态均方误差。对于具体的输入信号，存在一个最佳（或准最佳）的加权数目，使稳态均方误差最小，再增加权数目，稳态均方误差有增大的可能。该文以强相关的直流信号和弱相关的正弦信号分别作为自适应滤波器的输入信号进行了计算机仿真实验，实验结果与公式推导结果一致。该理论为自适应滤波器设计时阶数的选择提供了理论指导，有实际意义
Abstract:
T his paper discusses the relationship amo ng the co rrelation of input sig nal , w eig ht s number and steady state squar e err or of the LMS alg orithm in detail. It has been pr oved that the increasement o f w eig ht s number can not ensur e the reductio n of steady state square erro r. For pract ical input signal, there is an optimum w eig hts number w hich makes the steady state er ror the least value. This error may be increased w hen the w eig ht s number is increased. A direct current signal and a sine signal are used as the input s o f the adaptive filter to do the exper iment by computer simulat ion. T he experiment result s are in go od ag reement w ith theoret ical ones, T he theor y in this paper pr ovides the guidance of adaptive filter design in pract ice.

参考文献/References:

1　Hay kin S. Adaptive filter thero y . Second Ed Englewo od Cliffs, N J, Prentice-Hall, 1991
2　Winrow B, Dstear ns S. Adaptiv e sig nal pr ocessing . Eng lew oo d cliffs, N J: Pr enice-Hall,I nc, 1985
3　Gar dner W A. Nonstationar y lea rning char acteristics of the LMS alg or it hm s. IEEE Tr ans,1987, CAS34( 10) : 1199～1207
4　Widrow B, Mccoo l J M. Stationar y and no nstat ionar y lear ning char acter istics o f the LM S adaptiv e filter . Pr oc IEEE, 1976, 64( 8) : 1151～1162

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备注/Memo

备注/Memo:
国防科技预研行业基金
王蕴红　女　27 岁　博士生
更新日期/Last Update: 2013-04-11