Robust Affine Projection Tanh Algorithm and Its Performance Analysis

•A novel affine projection tanh algorithm (APTA) for adaptive filter is proposed by solving the constraint tanh function optimization model in the projection subspace.•Steady-state performance, mean and mean-square stability and transient performance of APTA are analyzed by using a vector-formed Taylor series expansion and weight energy conservation relation.•Simulations on highly colored input signals validate the superiority of APTA on filtering accuracy and robustness