Time-domain versus frequency-domain effort weighting in active noise control design

Active noise control is often designed by minimizing an error index which includes a penalty on the actuator inputs. In this way, an effort-weighting parameter allows one to monitor the maximum voltages applied to the control sources. Two effort-weighting techniques have been widely implemented in previous studies, Tikhonov regularization for frequency-domain simulations and the leaky filtered-reference least mean square algorithm for real-time feedforward control. This paper introduces the formal connection between the weighting parameters of these two techniques. Simulations of a simple set-up show that, with these two connected parameters, the control performances are indeed very close.