北京航空航天大学学报 ›› 2016, Vol. 42 ›› Issue (2): 413-420.doi: 10.13700/j.bh.1001-5965.2015.0137

• 论文 • 上一篇    

最大相关熵准则自适应滤波器的分数阶长算法

刘春辉1,2, 齐越2, 丁文锐1, 张文秋3   

  1. 1. 北京航空航天大学无人驾驶飞行器设计研究所, 北京 100083;
    2. 北京航空航天大学计算机学院, 北京 10008;
    3. 北京航空航天大学电子信息工程学院, 北京 100083
  • 收稿日期:2015-03-12 出版日期:2016-02-20 发布日期:2016-03-01
  • 通讯作者: 丁文锐,Tel.:010-82339906 E-mail:ding@buaa.edu.cn E-mail:ding@buaa.edu.cn
  • 作者简介:刘春辉 男,博士研究生,工程师。主要研究方向:数据链、自适应信号处理和图像融合。Tel.:010-82339906 E-mail:liuchunhui2134@126.com;丁文锐 女,博士,研究员。主要研究方向:数据链、计算机视觉和人工智能。Tel.:010-82339906 E-mail:ding@buaa.edu.cn
  • 基金资助:
    国家自然科学基金(61450008,61301004)

Fractional tap-length algorithm for adaptive filters under maximum correntropy criterion

LIU Chunhui1,2, QI Yue2, DING Wenrui1, ZHANG Wenqiu3   

  1. 1. Research Institute of Unmanned Aerial Vehicle, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
    2. School of Computer Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 10008;
    3. School of Electronic and Information Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
  • Received:2015-03-12 Online:2016-02-20 Published:2016-03-01

摘要: 对自适应滤波器最佳阶长的准确估计可以有效平衡自适应算法的稳态性能与计算复杂度,而基于最小均方差(MMSE)准则的变阶长最小均方(LMS)算法在非高斯噪声环境下的收敛性能变差。针对这一问题,提出一种最大相关熵准则(MCC)自适应滤波器的分数阶长(FT)算法——FT-MCC算法。该算法从MCC自适应滤波器最佳阶长的定义出发,利用不同阶长滤波器产生的相关熵之差实现阶长更新。理论分析和实验表明:相比现有变阶长最小均方算法,FT-MCC算法在非高斯噪声环境中具有较强的鲁棒性;通过恰当的参数选择,算法可较好地实现对最佳阶长的跟踪和估计。

关键词: 自适应滤波, 最大相关熵准则, 变阶长算法, 分数阶长算法, 系统辨识, 鲁棒性

Abstract: Accurate estimation of the optimum tap-length for the adaptive filter provides a good balance between the steady-state performance and the complexity of the adaptive algorithm. The convergence performance of the variable tap-length least mean square (LMS) adaptive filters under the minimum mean square error (MMSE) criterion deteriorates in the non-Gaussian noise environment. A fractional tap-length (FT) algorithm for the maximum correntropy criterion (MCC) adaptive filters, named FT-MCC algorithm, is proposed to solve the above problem. The proposed algorithm is based on the concept of the optimum tap-length for the MCC adaptive filters. The difference of the correntropy between adaptive filters with different tap-lengths is used to achieve the tap-length update. Both theoretical analysis and simulation result show that the proposed algorithm has strong robustness in non-Gaussian noise environment compared with other variable tap-length LMS algorithm and the optimum tap-length can be well estimated with proper parameter selection.

Key words: adaptive filtering, maximum correntropy criterion, variable tap-length algorithm, fractional tap-length algorithm, system identification, robustness

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