Abstract
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 FIR case, namely, the multiple-channel filtered-X LMS. A positive-definite condition is found to be sufficient to ensure convergence. Such a condition includes also the effects of the error path modeling mismatch, extending and generalizing previous results existing in the literature.
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