南京大学学报（自然科学版）2026，Vol.62Issue(2)：323-334,12.DOI:10.13232/j.cnki.jnju.2026.02.014
随机延迟容忍的变步长自适应滤波
Stochastic delay-tolerant adaptive filtering via variable step-size
摘要
Abstract
In practical adaptive filtering systems,stochastic processing delays and heterogeneous measurement noises,such as Gaussian noise and impulsive noise,are commonly encountered.However,existing variable step-size least mean square(VSSLMS)algorithms typically assume a delay-free system in analysis.To address this limitation,we propose a stochastic delay-tolerant robust VSSLMS algorithm.The proposed method leverages two key advantages of the Squareplus function.Firstly,it's inherently smooth,which stabilizes gradient estimation under time-delayed conditions.Secondly,it's capable to suppress nonlinear interference arising from multiple types of noise distributions.We theoretically analyze the algorithm's mean square error(MSE)and steady-state MSE to evaluate its performance.Furthermore,system identification experiments are conducted via simulation to verify the effectiveness of the proposed algorithm.The experimental results align well with the theoretical analysis and demonstrate superior performance compared to existing adaptive filtering algorithms.Consequently,the proposed algorithm not only achieves better steady-state performance but also exhibits enhanced robustness in the presence of stochastic time delays and diverse types of measurement noises.关键词
随机时延/变步长/Squareplus函数/各类干扰Key words
random time-delay/variable step-size/Squareplus function/various noises分类
信息技术与安全科学引用本文复制引用
赖如欢,杨翼徽,贠世伟,汪立伟,张传武,管四海..随机延迟容忍的变步长自适应滤波[J].南京大学学报（自然科学版）,2026,62(2):323-334,12.基金项目
国家自然科学基金(8225041038),中央高校基本科研业务费专项资金(ZYN2025185) （8225041038）
