An algorithm is presented which uses adaptive Q-parameterized compensators for control of sound. All stabilizing feedback compensators can be described in terms of plant coprime factors and a free parameter, Q, which can be any stable function. By generating a feedback signal containing only disturbance information, the parameterized compensator allows Q to be designed in an open-loop fashion. The problem of designing Q to yield desired noise reduction is formulated as an on-line gradient descent-based adaptation process. Coefficient update equations are derived for different forms of Q, including digital finite impulse response (FIR) and lattice infinite impulse response (IIR) filters. Simulations predict good performance for both tonal and broadband disturbances, and a duct feedback noise control experiment results in a 37 dB tonal reduction.
An Adaptive Feedback Noise Control Approach Using Q-Parameterization
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McEver, MA, Cole, DG, & Clark, RL. "An Adaptive Feedback Noise Control Approach Using Q-Parameterization." Proceedings of the ASME 2002 International Mechanical Engineering Congress and Exposition. Noise Control and Acoustics. New Orleans, Louisiana, USA. November 17–22, 2002. pp. 127-135. ASME. https://doi.org/10.1115/IMECE2002-33341
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