Adaptive echo cancellation using statistical shaping

This article presents a novel structure for bulk delay estimation in long echo cancellers which reduces the amount of excess error considerably. The miscalculation of the delay between the near end and the far end sections is one of the main causes of the excess error. Two analyses, based on the least mean square algorithm, are presented where a certain shape for the transitions (at the end of the near end and at the beginning of the far end sections) is considered. Transient and steady-state behavior and convergence conditions are studied, as well as a comparison between the algorithms developed for each transition. Simulation results agree well with theoretical derivations.