信号处理2026，Vol.42Issue(3)：438-452,15.DOI:10.12466/xhcl.2026.03.012
相关熵鲁棒自适应滤波算法研究进展
Research Progress on Correntropy-Based Robust Adaptive Filtering Algorithms
摘要
Abstract
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.关键词
自适应滤波/相关熵/复数/几何代数/非对称相关熵Key words
adaptive filtering/correntropy/complex numbers/geometric algebra/asymmetric correntropy分类
信息技术与安全科学引用本文复制引用
龙小强,赵海全..相关熵鲁棒自适应滤波算法研究进展[J].信号处理,2026,42(3):438-452,15.基金项目
国家自然科学基金(61871461,61571374,62171388) The National Natural Science Foundation of China(61871461,61571374,62171388) （61871461,61571374,62171388）
