Variable Step-Size Affine Projection Algorithm With a Weighted and Regularized Projection Matrix

This paper presents a regularized modification to the weighted variable step-size affine projection algorithm (APA). The regularization overcomes the ill-conditioning introduced by both the forgetting process and the increasing size of the input matrix. The algorithm was tested by trials with colorized input signals and different parameter combinations. Simulations illustrate that the proposed algorithm is superior in terms of convergence speed and misadjustment compared with existing algorithms.