| LMS和归一化LMS算法收敛门限与步长的确定 |
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| 引用本文： | 曾召华,刘贵忠,赵建平.LMS和归一化LMS算法收敛门限与步长的确定[J].电子与信息学报,2003,25(11):1469-1474. |
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| 作者姓名： | 曾召华 刘贵忠 赵建平 |
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| 作者单位： | 1. 西安交通大学电信学院,西安,710049
2. 中兴通讯股份有限公司西安研究所,西安,710065 |
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| 基金项目： | 国家教育部高等学校博士学科点专项科研基金(No.2000069828)，陕西省教育厅自然科学专项基金(No.01jk194) |
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| 摘 要： | 从LMS算法失调量的准确表达式出发，根据输入信号特征值分布重新研究了LMS，归一化LMS(Normalized LMS，NLMS)算法收敛的必要条件,推导出LMS和NLMS 算法收敛的步长门限，并分析了输入信号特征值分布、滤波器阶数对算法收敛步长门限的影响，推导出满足性能失调下步长的自适应计算公式，减小了应用 LMS，NLMS算法时步长选取的盲目性，与已有的算法相比，具有计算简单、实用、自适应性能强，同时可获得满意失调量的特点，计算机模拟结果表明该方法的正确性。
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| 关 键 词： | LMS 归一化LMS 稳态失调 步长 门限 |
| 收稿时间： | 2002-5-23 |
| 修稿时间： | 2002年5月23日 |
Determining of convergent threshold and step-size for lms and normalized lms algorithm |
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| Zeng Zhaohua,Liu Guizhong,Zhao Jianping.Determining of convergent threshold and step-size for lms and normalized lms algorithm[J].Journal of Electronics & Information Technology,2003,25(11):1469-1474. |
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| Authors: | Zeng Zhaohua Liu Guizhong Zhao Jianping |
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| Abstract: | Based on eigenvalue distributing of input signal, the convergent necessary conditions for LMS and Normalized LMS(NLMS) algorithm are again researched through the accurate analysis of the misadjustment. To avoid blindness for applying LMS and NLMS algorithm, the convergent threshold and the simple adaptive calculating formula for the step-size of them are proposed. The influence of eigenvalue distributing of input signal and order of filter on the threshold of step-size is also analyzed. Compared with an existing algorithm, the characters of lower computational complexity, practicality and stronger adaptive are shown and the satisfied misadjustment is achieved by adopting the presented method for calculating the step-size. |
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| Keywords: | Least Mean Square(LMS) Normalized LMS Stead-state misadjustment Step-size Threshold |
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