Penalty approaches for low-order filter design in sound field control

<p style="text-align:center;"> <span><strong>(Communicated by Changjun Yu)</strong></span> <p style="text-align:justify;"> <span><span> Sound field control is widely used in various scenarios to create distinct acoustic environments within specific zones. Two novel low-order filter design methods for sound field control have been proposed by integrating finite difference penalties of L1-norm and L2-norm with the ACC-PM method. This approach enables the generation of low-order time-domain filters for the loudspeaker array, while accurately reproducing the target amplitude and phase distribution in a specific sound field. The alternating direction method of multipliers (ADMM) algorithm is employed to solve the proposed models. Numerical experimental results demonstrate that, compared to four benchmark sound field control methods, the two proposed methods can effectively reduce the filter order.</span><br /> </span>