扩散式变阶数最大相关熵准则算法  

Diffusion Variable Tap-length Maximum Correntropy Criterion Algorithm

作　　者：林云[1] 黄桢航 高凡 LIN Yun;HUANG Zhen-hang;GAO Fan(Department of Communication and Information Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)

机构地区：[1]重庆邮电大学通信与信息工程学院,重庆400065

出　　处：《计算机科学》2021年第5期263-269,共7页Computer Science

摘　　要：固定阶数的分布式自适应滤波算法只有在待估计向量的阶数已知且恒定的情况下才能达到相应的估计精度,在阶数未知或时变的情况下算法的收敛性能会受到影响,变阶数的分布式自适应滤波算法是解决上述问题的有效途径。但是目前大多数分布式变阶数自适应滤波算法以最小均方误差(Mean square Error,MSE)准则作为滤波器阶数的代价函数,在脉冲噪声环境下算法的收敛过程会受到较大影响。最大相关熵准则具有对脉冲噪声的强鲁棒性,且计算复杂度低。为提高分布式变阶数自适应滤波算法在脉冲噪声环境下的估计精度,利用最大相关熵准则作为滤波器阶数迭代的代价函数,并将得到的结果代入固定阶数的扩散式最大相关熵准则算法,提出了一种扩散式变阶数最大相关熵准则(Diffusion Variable Tap-length Maximum Correntropy Criterion,DVTMCC)算法。通过与邻域的节点进行通信,所提算法以扩散的方式实现了整个网络的信息融合,具有估计精度高、计算量小等优点。仿真实验对比了在脉冲噪声下DVTMCC算法和其他分布式变阶数自适应滤波算法、固定阶数的扩散式最大相关熵准则算法的收敛性能。仿真结果表明,在脉冲噪声环境下DVTMCC算法能够同时估计未知向量的阶数和权值,性能优于参与对比的算法。The fixed tap-length distributed adaptive filtering algorithm can achieve the corresponding estimation accuracy only when the tap-length of the unknown vector is assumed to be known as a prior and constant.The convergence performance of the algorithm deteriorates when the tap-length is unknown or time varying.Variable tap-length distributed adaptive filtering algorithm is an effective way to solve this problem.However,most of the distributed variable tap-length adaptive filtering algorithms use the minimum mean square error(MSE)criterion as the cost function of the tap-length,and the convergence of the algorithm is greatly affected under the impulsive noise environment.The maximum correntropy criterion is robust to impulse noise and has low computational complexity.In order to improve the estimation accuracy of the distributed variable tap-length adaptive filtering algorithm under the impulsive noise environment,the maximum correntropy criterion is used as the cost function,relevant results are substituted into the fixed tap-length diffusion maximum correntropy criterion algorithm,and thus a diffusion variable tap-length maximum correntropy criterion(DVTMCC)algorithm is proposed.By communicating with the nodes in the neighborhood,the proposed algorithm realizes the information fusion of the entire network by means of diffusion,which has advantages of a high estimation accuracy,a small calculation cost,etc.Simulation experiments compare the convergence performance of DVTMCC algorithm and other distributed variable tap-length adaptive filtering algorithms,and fix tap-length diffusion maximum correntropy criterion algorithm under the impulsive noise environment.Simulation results show that the DVTMCC algorithm can estimate the tap-length and weight vector of the unknown vector at the same time under the impulsive noise environment,and its performance is better than compared algorithms.

关 键 词：自适应网络 扩散式策略 最大相关熵准则 变阶数 脉冲噪声 

分 类 号：TN911.72[电子电信—通信与信息系统]