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In this communication the basic definitions and properties of a novel algebra, called V-vector algebra, are presented. This algebraic structure constitutes a formal basis for the development of fast and numerically stable adaptive algorithms for Volterra filters as an extension of linear techniques.
The active noise control in large-dimension ducts usually requires the use of a multiple-channel adaptive system with several error sensors, secondary sources and reference sensors. Here we present the convergence analysis of the multiple-channel filtered-U recursive LMS algorithm, which employs adaptive IIR filters to improve the cancellation capabilities with respect to those of the corresponding...
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