Normalised Least Mean Fourth Algorithm for Hammerstein Spline Adaptive Filtering

Hammerstein spline adaptive filtering (HSAF) is presented based on normalised version of least mean fourth (LMF) algorithm. HSAF comprises of a nonlinear memoryless adaptive lookup table with the spline interpolation function and linear adaptive filter modified by gradient-based scheme. LMF is determined by properties of the error term of the fourth power mean. Normalised version of LMF is applied on HSAF to get the fast convergence. Experimental results show that can provide the competitive results to the traditional least mean square algorithm.