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带基准点的低通信开销扩散最小总误差熵算法OA

Diffusion Minimum Total Error Entropy Using Fiducial Points Algorithm with Low Communication Overhead

中文摘要英文摘要

在含变量误差与非高斯干扰的复杂环境下,传统基于二阶统计量的扩散式自适应滤波算法因存在估计偏差且对异常值及重尾噪声高度敏感,导致分布式网络性能显著下降.为此,本文提出一种基于信息论的鲁棒滤波方法,即带基准点的扩散最小总误差熵(Diffusion Minimum Total Error Entropy with Fiducial Points,DMTEF)算法.该算法将带基准点的最小误差熵准则引入扩散网络,显著提升了算法在非高斯噪声下的鲁棒性.为适应资源受限的分布式网络,本文进一步提出一种低通信开销的改进方法,即部分扩散的带基准点最小总误差熵(Partial-Diffusion DMTEF,DPMTEF)算法,该方法通过共享伪随机坐标选择规则,仅在组合阶段执行部分信息交换,则将每条链路的单次通信负载从M个系数降低至L个系数,并对通信成本进行了量化分析.在混合高斯噪声、脉冲噪声与α稳定噪声等典型非高斯场景下的仿真结果表明,所提DMTEF算法在对比方法中具有最高的滤波精度.而DPMTEF算法在通信开销大幅降低的同时,仍能接近DMTEF算法的滤波性能,实现了通信效率与估计精度的有效权衡.

In complex environments with variable errors and non-Gaussian interference,traditional diffusion-based adap-tive filtering algorithms based on second-order statistics suffer from estimation bias and are highly sensitive to outliers and heavy-tailed noise,leading to a significant deterioration in distributed network performance.Accordingly,this study proposes an information-theoretic robust filtering method,i.e.,a diffusion minimum total error entropy with fidu-cial points(DMTEF)algorithm.This algorithm introduces the minimum error entropy criterion with fiducial points into the diffusion network,thereby significantly improving its robustness under non-Gaussian noise.To adapt to resource-constrained distributed networks,this study further proposes an improved method with low communication overhead,i.e.,a partial-diffusion DMTEF(DPMTEF)algorithm.This method reduces the single communication load per link from M to L coefficients by sharing pseudo-random coordinate selection rules and performing partial information exchange only in the combination phase.A quantitative analysis of the communication cost is also provided.Simulation results un-der typical non-Gaussian scenarios,such as mixed Gaussian noise,impulse noise,and α-stable noise,demonstrate the highest filtering accuracy of the proposed DMTEF algorithm among the compared methods.Furthermore,the DPMTEF algorithm,while significantly reducing communication overhead,still achieves a filtering performance similar to that of the DMTEF algorithm,thus realizing an effective trade-off between communication efficiency and estimation accuracy.

蔡鹏;李磊;王世元

西南大学电子信息工程学院,重庆 400715西南大学电子信息工程学院,重庆 400715西南大学电子信息工程学院,重庆 400715

信息技术与安全科学

分布式网络通信开销自适应滤波扩散策略带基准点的最小误差熵

distributed networkscommunication overheadadaptive filterdiffusion strategyminimum error en-tropy with fiducial points

《信号处理》 2026 (9)

1363-1375,13

国家自然科学基金(62471406,62501491)The National Natural Science Foundation of China(62471406,62501491)

10.12466/xhcl.2026.09.002

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