Wang, Y.; Liu, F.; Fu, Z.; Yang, L.; Wang, P. Convergence Analysis of the Phase-Scheduled-Command FXLMS Algorithm with Phase Error. Appl. Sci.2023, 13, 8797.
Wang, Y.; Liu, F.; Fu, Z.; Yang, L.; Wang, P. Convergence Analysis of the Phase-Scheduled-Command FXLMS Algorithm with Phase Error. Appl. Sci. 2023, 13, 8797.
Wang, Y.; Liu, F.; Fu, Z.; Yang, L.; Wang, P. Convergence Analysis of the Phase-Scheduled-Command FXLMS Algorithm with Phase Error. Appl. Sci.2023, 13, 8797.
Wang, Y.; Liu, F.; Fu, Z.; Yang, L.; Wang, P. Convergence Analysis of the Phase-Scheduled-Command FXLMS Algorithm with Phase Error. Appl. Sci. 2023, 13, 8797.
Abstract
In this paper, the Phase-Scheduled-Command FXLMS algorithm with the phase error between the disturbance and command signal is analyzed in detail. The influence of the phase error on the convergence time constant, convergence rate, and performance of convergence is explained for both stationary and nonstationary disturbance signals case. For stationary disturbance, the phase error slightly increases the convergence rate but heavily increases the distance of the optimum vector from the initial value, leading to poor convergence time constant performance. For nonstationary disturbance, the existence of phase error leads to poor convergence performance in every step, resulting in poor sound profiling performance. And the estimation of the phase error influence is developed in the closed form. Simulations are performed to demonstrate the validity of the analysis results.
Keywords
active noise control; phase-scheduled-command FXLMS; active sound profiling; phase error.
Subject
Physical Sciences, Acoustics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
