Page 65 - 《应用声学》2022年第6期

第 41 卷 第 6 期 Vol. 41, No. 6
2022 年 11 月 Journal of Applied Acoustics November, 2022

⋄ 研究报告 ⋄

异构混合相关熵有源噪声控制算法

李春阳 1 金光灿 1† 刘 浩 2 李 锦 1

(1 上海工程技术大学机械与汽车工程学院 上海 201600)
(2 上海理想汽车科技有限公司 上海 201800)
摘要：近几年兴起的基于最大相关熵准则的 FxMCC 算法在有源噪声控制系统中取得了良好的降噪性能。然
而，已有的 FxMCC 算法仅使用了单一的高斯核，算法在强脉冲噪声环境下降噪能力严重退化，且算法对核宽
参数极敏感，不合适的核宽会降低算法降噪性能。为了弥补 FxMCC 算法的不足，该文引入异构混合相关熵，
使用由高斯核和拉普拉斯核组成的混合核作为代价函数，推导了基于异构混合相关熵的 FxMCC-MK 算法。
该文进一步分析了所提算法的收敛条件和稳定性，并与已有的算法进行了计算复杂度比较。仿真结果表明，
在标准对称 α 稳定分布脉冲噪声和真实噪声录声的有源噪声控制中，相比于已有的相关熵算法，该文提出的
FxMCC-MK 算法具有更低的核宽参数敏感度，更强的鲁棒性和更快追踪能力。
关键词：有源噪声控制；最大相关熵；拉普拉斯核；异构混合相关熵；脉冲噪声
中图法分类号: TB53 文献标识码: A 文章编号: 1000-310X(2022)06-0911-09
DOI: 10.11684/j.issn.1000-310X.2022.06.008

Active noise control algorithm based on heterogeneous mixture correntropy

LI Chunyang 1 JIN Guangcan 1 LIU Hao 2 LI Jin 1

(1 School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai 201600, China)
(2 Shanghai Li Auto Technology Co., Ltd., Shanghai 201800, China)

Abstract: The FxMCC (Filtered-x maximum correntropy criterion) algorithm, which is based on the maximum
correntropy criterion, has achieved good noise reduction performance in active noise control (ANC) systems in
recent years. However, the existing FxMCC algorithm uses only a single Gaussian kernel, which degrades the
noise reduction capability in strong impulsive noise environments, and the algorithm is extremely sensitive to
the kernel width parameter, and an inappropriate kernel width can degrade the noise reduction performance of
the algorithm. In order to compensate for the shortcomings of the FxMCC algorithm, this paper introduces the
heterogeneous mixture correlation entropy and derives the FxMCC-MK (FxMCC-mixture kernels) algorithm
based on the heterogeneous correntropy criterion using a mixture of Gaussian and Laplace kernels as the cost
function. The convergence conditions and stability of the proposed algorithm are further analyzed and the
computational complexity is compared with existing algorithms. The simulation results show that compared
with existing correntropy algorithms, the proposed FxMCC-MK algorithm has lower kernel width sensitivity,
stronger robustness and faster tracking ability in active impulsive noise control with the standard symmetric
α-stable distribution (SαS) and the real noise recording environment.
Keywords: Active noise control; Maximum correntropy; Laplace kernel; Heterogeneous mixture correntropy;
Impulse noise

2022-06-20 收稿; 2022-08-25 定稿
作者简介: 李春阳 (1996– ), 男, 河南郑州人, 硕士研究生, 研究方向: 有源噪声控制。
† 通信作者 E-mail: emily929@126.com