相关熵鲁棒自适应滤波算法研究进展OA
Research Progress on Correntropy-Based Robust Adaptive Filtering Algorithms
自适应滤波算法凭借其无需预先知晓信号统计特性、可实时调整滤波参数以适应动态环境的核心优势,已在众多工程领域得到深度且成熟的应用.在通信工程中,它可用于信道均衡与信号降噪,有效抵消多径传播带来的信号失真,提升数据传输的可靠性;在控制工程领域,能够动态补偿系统扰动与参数漂移,保障工业设备如机械臂、精密机床的稳定运行;在雷达与声纳系统里,可增强目标信号提取能力,降低复杂电磁或水声环境下的虚警率;而在生物医学工程领域,更是在心电图(Electrocardiogram,ECG)、脑电图(Electroencephalogram,EEG)等微弱生物信号的降噪与特征提取中发挥关键作用,为疾病诊断提供可靠依据.本文以相关熵为基础,对常见的几类相关熵鲁棒自适应滤波算法的研究进展做了简要综述,内容涵盖最大相关熵、偏差补偿相关熵、复值相关熵、几何代数相关熵以及非对称相关熵鲁棒算法等几个方面.本文就以上几个方向的相关熵算法研究进展进行了梳理,并对相关熵算法所出现的问题以及文献所能处理的问题进行了总结.最后对相关熵鲁棒自适应滤波算法现存的挑战性问题和未来的研究方向进行讨论.
Adaptive filtering algorithms have achieved deep and mature applications across numerous engineering fields owing to their core advantages.Specifically,they require no prior knowledge of signal statistical characteristics and en-able real-time adjustment of filtering parameters to adapt to dynamic environments.In communication engineering,they enable channel equalization and signal denoising,effectively counteracting the signal distortion caused by multipath propagation and enhance data transmission reliability.In control engineering,they dynamically compensate for system disturbances and parameter drift,ensuring the stable operation of industrial equipment such as robotic arms and preci-sion machine tools.In radar and sonar systems,they enhance target signal extraction capabilities and reduce false alarm rates in complex electromagnetic and acoustic environments.In biomedical engineering,they play a critical role in noise reduction and feature extraction for weak biological signals,such as electrocardiograms(ECG)and electroencephalo-grams(EEG),providing a reliable foundation for disease diagnosis.This paper provides a concise review of the re-search progress on several common robust adaptive filtering algorithms based on correntropy.The paper covers the fol-lowing correntropy algorithms:maximum,bias-compensated,complex-valued,geometric-algebraic,and asymmetric correntropy robust algorithms.This paper organizes the research progress of the correntropy algorithms,summarizing the issues encountered and the problems addressed in the literature.Finally,existing challenges and future research di-rections are discussed for correntropy-robust adaptive filtering algorithms.
龙小强;赵海全
西北师范大学物理与电子工程学院,甘肃 兰州 730070西南交通大学电气工程学院,磁浮技术与磁浮列车教育部重点实验室,四川 成都 610031
信息技术与安全科学
自适应滤波相关熵复数几何代数非对称相关熵
adaptive filteringcorrentropycomplex numbersgeometric algebraasymmetric correntropy
《信号处理》 2026 (3)
438-452,15
国家自然科学基金(61871461,61571374,62171388) The National Natural Science Foundation of China(61871461,61571374,62171388)
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