Loudspeaker array beamforming is a common signal processing technique for acoustic directivity control and robust audio reproduction. Unlike their microphone counterpart, loudspeaker constraints are often heterogeneous due to arrayed transducers with varying operating ranges in frequency, acoustic-electrical sensitivity, efficiency, and directivity. This work proposes a frequency-regularization method for generalized Rayleigh quotient directivity specifications and two novel beamformer designs that optimize for maximum efficiency constant directivity (MECD) and maximum sensitivity constant directivity (MSCD). We derive fast converging and analytic solutions from their quadratic equality constrained quadratic program formulations. Experiments optimize generalized directivity index constrained beamformer designs for a full-band heterogeneous array.

翻译：扬声器阵列波束成形是一种用于声学指向性控制和鲁棒音频重放的常见信号处理技术。与麦克风阵列不同，由于阵列换能器在频率工作范围、声电灵敏度、效率和指向性方面存在差异，扬声器的约束条件通常是异质性的。本研究提出了一种针对广义瑞利商指向性规格的频率正则化方法，以及两种新颖的波束成形器设计，分别优化最大效率恒定指向性（MECD）和最大灵敏度恒定指向性（MSCD）。我们从其二次等式约束二次规划公式中推导出快速收敛的解析解。实验针对一个全频段异质阵列，优化了广义指向性指数约束下的波束成形器设计。