A multizone sound field reproduction method with constrained zone acoustic energy in the modal domain

Multizone sound field reproduction for synthesizing desired sound fields has various applications. The modal matching-based method can obtain global modal coefficients to accurately reproduce the desired sound field. However, the transformation of the global modal coefficients into the loudspeaker weights for reproduction is susceptible to the ill-conditioned transformation matrix that caused by loudspeaker array positions and environment conditions. This paper proposes a multizone sound field reproduction method in the modal domain to obtain the loudspeaker weights directly. An optimization model is formulated with the objective of reproducing the desired sound field within the bright zone and with constraints on acoustic energy in whole region of the dark zone. The improved Lagrange algorithm can adaptively select the Lagrange multipliers for solving the loudspeaker weights, which are the same as the solutions obtained by the CVX method regarded as a benchmark and take less computational time. For the interzone sound interference in reproduction caused by the virtual sound propagation direction of the desired sound field in bright zone and the geometry positions of the multi zones, a realizability metric coefficient is developed based on the proposed model to evaluate the reproduction efficiency. The simulation results and experimental results indicate that the proposed method outperforms the current pressure matching and mode matching methods.