The aim of amplitude panning is to create a phantom sound source that is heard at a certain predetermined position by feeding a mon signal to several louspeakers using particular weighting factors. Two models used for amplitude panning are in particular important: the velocity and energy model. A nice property of these models is that the position of a phantom sound source can be described as linear combinations of the vectors pointing towards the physical positions of the loudspeakers. In this paper, we describe how the coefficients of these linear combinations can be numerically computed by means of simple matrix algebra, which meet both the velocity and the energy model simultaneously for a given optimization criterion.
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