A rapidly converging filtered-error algorithm for multichannel active noise control

• Published in: International journal of adaptive control and signal processing Vol. 21; no. 7; pp. 556 - 569
• Main Authors: Berkhoff, A. P., Nijsse, G.
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 01.09.2007
• Subjects: active noise control; Actuators; Adaptation; Adaptive control; Algorithms; Complexity; Convergence; Delay; inner-outer factorization; Multichannel
• ISSN: 0890-6327; 1099-1115
• DOI: 10.1002/acs.941

In this paper, a multichannel adaptive control algorithm is described which has good convergence properties while having relatively small computational complexity. This complexity is similar to that of the filtered‐error algorithm. In order to obtain these properties, the algorithm is based on a preprocessing step for the actuator signals using a stable and causal inverse of the minimum‐phase part of the transfer path between actuators and error sensors, the secondary path. The latter algorithm is known from the literature as postconditioned filtered‐error algorithm, which improves convergence rate for the case that the minimum‐phase part of the secondary path increases the eigenvalue spread. However, the convergence rate of this algorithm suffers from delays in the adaptation path because adaptation rates have to be reduced for larger delays. The contribution of this paper is to modify the postconditioned filtered‐error scheme in such a way that the adaptation rate can be set to a higher value. Consequently, the scheme also provides good convergence if the system contains significant delays. Furthermore, a regularized extension of the scheme is given which can be used to limit the actuator signals. Copyright © 2006 John Wiley & Sons, Ltd.