北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2023, Vol. 46 ›› Issue (5): 28-34.

• 论文 • 上一篇    下一篇

基于混合熵的分数阶归一化子带自适应滤波算法

火元莲,丁瑞博,齐永锋,脱丽华   

  1. 西北师范大学
  • 收稿日期:2022-07-01 修回日期:2022-12-26 出版日期:2023-10-28 发布日期:2023-11-03
  • 通讯作者: 火元莲 E-mail:huoyuanlian@163.com
  • 基金资助:
    国家自然科学基金资助项目

Fractional Normalized Subband Adaptive Filtering Algorithm Based On mixture Correntropy

  • Received:2022-07-01 Revised:2022-12-26 Online:2023-10-28 Published:2023-11-03

摘要: 为了改善归一化子带自适应滤波((normalized subband adaptive filter,NSAF)算法在非高斯噪声环境下的滤波性能,本文将混合相关熵准则和分数阶微分应用于NSAF算法。一方面借助混合相关熵具有的鲁棒性,有效抑制异常噪声值对算法性能的影响;另一方面在权重更新时增添分数阶微分部分,因为分数阶微积分以加权的形式考虑了数据的整体信息,可以更准确地描述实际系统,进而提高算法的滤波性能。在非高斯冲击噪声和有色噪声环境下,将所提算法应用于系统辨识和非线性信道均衡。仿真结果表明,所提算法与已有鲁棒算法相比具有更强的鲁棒性和较好的系统跟踪与估计能力。

关键词: 子带自适应滤波算法, 混合熵准则, 分数阶微分, 非高斯冲击噪声, 系统辨识

Abstract: In order to improve the filtering performance of the normalized subband adaptive filter (NSAF) in a non-Gaussian noise environment, the maximum mixture correntropy criterion and fractional-order differentiation are applied to the NSAF algorithm in this paper. On the one hand, the robustness of the maximum mixture correntropy criterion is used to effectively suppress the effect of anomalous noise values on the performance of the algorithm. On the other hand, to describe the actual system more accurately, a fractional-order differentiation component is added to the weight update. The proposed algorithm is applied to system identification and nonlinear channel equalization in a non-Gaussian impact noise and colored noise environment. Simulation results show that the proposed algorithm has stronger robustness and better system tracking and estimation capability compared with existing robust algorithms.

Key words: subband adaptive filtering algorithm, mixture correntropy Criterion, fractional-order derivative, non-Gaussian impulsive interference, system identification

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