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Design of Ambisonic Decoders for Irregular Arrays of Loudspeakers by Non-Linear Optimization

In previous papers, the present authors described techniques for design, implementation, and evaluation of Ambi-sonic decoders for regular loudspeaker arrays. However, to accommodate domestic listening rooms, irregular arrays are often required. Because the figures of merit used to predict decoder performance are non-linear functions of speaker positions, non-linear optimization techniques are needed. In this paper we discuss the implementation of an open-source application based on the NLopt non-linear optimization software library that derives decoders for arbi-trary arrays of loudspeakers, as well as providing a prediction of their performance using psychoacoustic criteria, such as Gerzon’s velocity and energy localization vectors. We describe the implementation and optimization crite-ria, and report on listening tests comparing the decoders produced.

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