Performance Analysis of Robust Subband Hammerstein Spline Adaptive Filter

This article develops a subband Hammerstein spline adaptive filtering (SHSAF) algorithm with the exponential hyperbolic cosine (EHC) cost to acquire robustness against non-Gaussian noises, which is called the SHSAF-EHC algorithm. The delayless multiband-structured subband strategy is employed to enhance the convergence property in the Hammerstein-type nonlinear filtering structure. In addition, the statistical performance analysis of SHSAF-EHC is rigorously derived in the mean and mean-square senses. Numerical experiments under non-Gaussian noise scenarios corroborate the accuracy of theoretical findings and validate the superiority of the proposed algorithm.