  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.
