Convergence and Performance Analysis of the Affine Projection Algorithm with Direction Error

A new statistical analysis model is proposed to analyze the Affine projection algorithm with direction error (AP-DE). Four assumptions are made, which are based on the direction vector for the AP-DE algorithm. Under these assumptions, deterministic recursive equations for the weight error and for the mean-square error are derived. We also analyze the steady-state behavior of the AP-DE algorithm. Simulation results are provided to corroborate the analytical results.