Robust Pressure Matching with ATF Perturbation Constraints for Sound Field Control

Sound field control systems deployed in room acoustic environments require knowing the acoustic channel impulse responses between the loudspeakers and matching microphones, which are challenging to estimate accurately due to perturbations caused by such factors as temperature changes and sensors’ position mismatches. To deal with this issue, a robust pressure matching algorithm is developed in this work where a perturbation term of the acoustic transfer function (ATF) is modeled as a Gaussian process, based on which an uncertainty constraint is applied to limit the impact of perturbation on pressure matching. This constrained problem is formulated as one of biconvex optimization, and a coordinate descent algorithm is adopted to estimate the optimal control filter. Simulations are performed and results show that the proposed method is able to achieve more accurate control as compared to the standard pressure matching algorithm in the presence of ATF perturbations.