An algorithm for power constrained holographic reproduction of sound

The reproduction of a sound field over a spatial region can require large output powers from the loudspeakers. In such a case, the sound field reproduction can be non-robust or cause loudspeaker failure. One method of limiting loudspeaker power is to regularize the solution. We instead assume each loudspeaker is capable of delivering a certain peak power, and find a solution minimizing the error between the created and desired field subject to this power constraint. We apply a power constraint at a single frequency and also constrain total output power summed across many frequencies. Rapidly converging interior point methods are derived and shown to possess similar robustness to the regularized solution.