A Robust Active Noise Control System Based on Logarithmic Hyperbolic Secant Adaptive Filter

Conventional active noise control (ANC) methods experience performance deterioration when exposed to impulsive noise (IN). Despite its transient nature, IN poses significant risks to auditory health. Recent approaches employing the maximum correntropy criterion (MCC) and its generalized version (GMCC) have attracted considerable interest for impulsive noise suppression. Nevertheless, these methods exhibit substantial steady-state misalignment, degrading their noise cancellation performance. To enhance ANC performance under impulsive conditions, this work introduces a novel robust filtered-x logarithmic hyperbolic secant adaptive filter (FxLHSAF) that minimizes a logarithmic hyperbolic secant loss function. Furthermore, an affine combination of FxLHSAF (A-FxLHSAF) is developed to attain accelerated convergence and reduced residual error. Experimental simulations demonstrate the superiority of both proposed techniques over other existing algorithms, with FxLHSAF and A-FxLHSAF delivering optimal noise suppression performance.