Robust Hammerstein Adaptive Filtering under Maximum Correntropy Criterion

Author: Wu Zongze   Peng Siyuan   Chen Badong   Zhao Haiquan  

Publisher: MDPI

E-ISSN: 1099-4300|17|10|7149-7166

ISSN: 1099-4300

Source: Entropy, Vol.17, Iss.10, 2015-10, pp. : 7149-7166

Access to resources Favorite

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

The maximum correntropy criterion (MCC) has recently been successfully applied to adaptive filtering. Adaptive algorithms under MCC show strong robustness against large outliers. In this work, we apply the MCC criterion to develop a robust Hammerstein adaptive filter. Compared with the traditional Hammerstein adaptive filters, which are usually derived based on the well-known mean square error (MSE) criterion, the proposed algorithm can achieve better convergence performance especially in the presence of impulsive non-Gaussian (e.g., α-stable) noises. Additionally, some theoretical results concerning the convergence behavior are also obtained. Simulation examples are presented to confirm the superior performance of the new algorithm.