Statistical Analysis of Multiphase Error Algorithm

This paper proposes and analyzes Multiphase Error Algorithm (MultiPhEA) for adaptive filters in the complex-number domain with a Gaussian regressor and Gaussian observation noise, where multiphase function taking multiple discrete phase points is used for tap weight adaptation. Statistical analysis of the MultiPhEA is developed for calculating transient and steady-state convergence behavior. Through numerical experiments, we demonstrate good agreement between simulated and theoretically calculated convergence which shows the validity and accuracy of the analysis for practical use.