Personal audio systems generate a local sound field for a listener while attenuating the sound energy at pre-defined quiet zones. Their performance can be sensitive to errors in the acoustic transfer functions between the sources and the zones. In this paper, we model the loudspeakers as a superposition of multipoles with a term to describe errors in the actual gain and phase. We then propose a design framework for robust reproduction, incorporating additional prior knowledge about the error distribution where available. We combine acoustic contrast control with worst-case and probability-model optimization, exploiting knowledge of the error distribution. Monte-Carlo simulations over 10000 test cases show that the method increases system robustness when errors are present in the assumed transfer functions.
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