Affine projection Weibull M‐transform least mean square algorithm against impulsive interference

Abstract The well‐known affine projection sign algorithm is one of the classic adaptive filtering methods for denoising and channel equalisation, which can achieve robust performance against coloured input and impulse noise. This work proposes the affine projection Weibull M‐transform least mean square algorithm to improve the steady‐state performance of affine projection algorithms. The proposed algorithm combines the Weibull M‐transform cost function with the L2‐norm constraint of weight vector to improve the performance of existing affine projection algorithms and achieve a better convergence rate and better misalignment. This novel algorithm also preserves good performance against impulsive interference and coloured input. Simulation results demonstrated that the proposed algorithm has a remarkable improvement in convergence performance compared with other algorithms