Time-domain sound field reproduction using the group Lasso

A time-domain sound field reproduction (SFR) method based on the group Lasso (GL) is presented. The proposed method optimizes the positions and the number of active loudspeakers in the time domain by iteratively solving a mixed-norm constrained optimization problem. Simulation results demonstrate that the proposed method achieves accurate broadband SFR using a small number of active loudspeakers and significantly outperforms the least-squares method when the desired sound field is under-sampled. Moreover, the GL algorithm can also be used to optimize the loudspeaker placement for sound field control systems.