Quadratic least-squares formulation for a local active noise control with stochastic domain and noise source

Abstract

A local active noise control method that uses stochastic numerical acoustical modeling is introduced. The frequency domain acoustical simulations are performed by a sequence solutions to Helmholtz equations approximated by FEM. The proposed ANC method maps microphone measurements linearly to the output signals of antinoise actuators. The matrix defining the linear mapping is optimized for each frequency to minimize expected value of the noise. The paper concentrates on defining the quadratic least-squares optimization problem for the minimization of the sound pressure field in the silet region. The formulation leads to a robust and accurate noise control in stochastic domains that has a stochastic noise source. The method is demonstrated numerically by an experiment in a car cabin, and significant noise reduction is demonstrated at lower frequencies.