Convex Combination Filtered-X Algorithms for Active Noise Control Systems

• Published in: IEEE transactions on audio, speech, and language processing speech, and language processing, 2013-01, Vol.21 (1), p.156-167
• Main Authors: Ferrer, M., Gonzalez, A., de Diego, M., Pinero, G.
• Format: Article
• Language: English
• Subjects: Active noise control; Adaptive algorithms; adaptive filtering; Adaptive filters; Adaptive systems; Algorithms; Applied sciences; Control systems; Convergence; convex combination; Detection, estimation, filtering, equalization, prediction; Errors; Exact sciences and technology; filtered-x structure; Filtering; Information, signal and communications theory; Least squares approximation; Mean square values; modified filtered-x structure; multichannel adaptive filtering; Noise; Signal and communications theory; Signal, noise; Steady-state; Strategy; Telecommunications and information theory
• ISSN: 1558-7916; 2329-9290; 1558-7924; 2329-9304
• DOI: 10.1109/TASL.2012.2215595

Adaptive filtering schemes exhibit a compromise between convergence speed and steady-state mean square error. Trying to overcome this trade-off, convex combination of adaptive filters have been recently developed for system identification achieving better performance than traditional approaches. The purpose of this work is to apply the convex combination strategy to single-channel and multichannel active noise control systems. In these systems it is necessary to take into account the secondary path between the adaptive filter output and the error sensor and the possible unavailability of the disturbance signal, which depends on the filtering scheme considered. Even though this strategy involves a higher computational burden than the classic adaptive filters, it exhibits a good performance in terms of convergence speed and steady-state mean square error.