Newtonian-Type Adaptive Filtering Based on the Maximum Correntropy Criterion

Abstract

This paper provides a novel Newtonian-type optimization method for robust adaptive filtering inspired by information theory learning. With the traditional minimum mean square error (MMSE) criterion replaced by criteria like the maximum correntropy criterion (MCC) or generalized maximum correntropy criterion (GMCC), adaptive filters assign less emphasis on the outlier data, thus become more robust against impulsive noises. The optimization methods adopted in current MCC-based LMS-type and RLS-type adaptive filters are gradient descent method and fixed point iteration, respectively. However, in this paper, a Newtonian-type method is introduced as a novel method for enhancing the existing body of knowledge of MCC-based adaptive filtering and providing a fast convergence rate. Theoretical analysis of the steady-state performance of the algorithm is carried out and verified by simulations. The experimental results show that, compared to the conventional MCC adaptive filter, the MCC-based Newtonian-type method converges faster and still maintains a good steady-state performance under impulsive noise. The practicability of the algorithm is also verified in the experiment of acoustic echo cancellation.

Roll Eccentricity Detection and Application Based on SFT and Regional DFT

“…When the thickness of the incoming material changes, this method cannot automatically adjust the size of the roll gap. The adaptive filtering method analyzes the rolling force signal and extracts the eccentric disturbance signal [ 4 ]. The adaptive filter can use many adaptive algorithms, such as recursive least squares (RLS), least mean squares (LMS), etc.…”

Newton Recursion Based Random Data-Reusing Generalized Maximum Correntropy Criterion Adaptive Filtering Algorithm

“…More details about robust adaptive signal processing schemes can be seen in a review article [ 12 ]. In the family of ITL criteria, thanks to all the even-order moment information of the error signal contained in the minimization of error entropy (MEE) [ 13 ] and the maximum correntropy criterion (MCC) [ 14 , 15 ], they are widely used in robust signal processing and machine learning. Generally speaking, the MCC criterion has a smaller computational burden than that of the MEE criterion.…”