Numerically stable fast convergence least-squares algorithms for multichannel active sound cancellation systems and sound deconvolution systems
type: Item
instance of: scholarly article
title: Numerically stable fast convergence least-squares algorithms for multichannel active sound cancellation systems and sound deconvolution systems
zbMATH Open document ID: 0995.94008
DOI: 10.1016/S0165-1684(02)00135-4
author: Martin Bouchard
published in: Signal Processing
publication date: 2002-07-15T00:00:00Z
review text: In recent years, recursive least-squares (RLS) algorithms and fast-transversal-filters (FTF) algorithms have been introduced for multichannel active sound cancellation (ASC) systems and multichannel sound deconvolution (MSD) systems. It was reported that these algorithms can greatly improve the convergence speed of the ASC/MSD systems using adaptive FIR filters. However, numerical instability of the algorithms is an issue that needs to be resolved. In this paper, extensions of numerically stable realisations of RLS algorithms such as the inverse QR-RLS, the QR decomposition least-squares-lattice (QRD-LSL) and the symmetry preserving RLS algorithms are introduced for the specific problem of multichannel ASC/MSD. Multichannel versions of some of these algorithms have previously been published for prediction or identification systems, but not for control systems. The case of underdetermined ASC/MSD systems (i.e. systems with more actuators than error sensors) is also considered, to show that in these cases it may be required to use constrained algorithms in order to have numerical stability. Constrained algorithms for multichannel ASC/MSD systems are therefore introduced for two types of constraints: minimisation of the actuator signals power and minimization of the adaptive filters square coefficients. Simulation results are shown to verify the numerical stability of the algorithms introduced in the paper.
Mathematics Subject Classification ID: 94A12
Mathematics Subject Classification ID: 93E24
zbMATH DE Number: 1767948
zbMATH Keywords: active sound cancellation
zbMATH Keywords: active noise control
zbMATH Keywords: sound deconvolution
zbMATH Keywords: multichannel sound reproduction
zbMATH Keywords: constrained least-squares algorithms
zbMATH Keywords: recursive least-squares algorithms
zbMATH Keywords: QR-RLS
zbMATH Keywords: QRD-LSL
Wikidata QID: Q59194029
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1767948