Distribution-Based Determination of Sparse Secondary Path for Active Noise Control

The sparse secondary path model notably enhances the computational efficiency of active noise control (ANC) system. However, there is no specific rule for determining the sparse secondary coefficients. In this brief, we propose a distribution-based method for the selection of sparse threshold for determination of coefficients in secondary path modeling. To offer guidance on the selection of sparse coefficients, a power function of the sparse threshold is defined and the analytical solution is derived based on Laplacian and Gaussian distributions for secondary coefficients. The effectiveness of selected sparse coefficients in representing the secondary path is verified by computer simulations and real duct ANC experiments for control of narrowband and broadband noise.