Patent ID: 8391500

Claim:
A method for spatially rendering a virtual sound source using a plurality of speakers in an arbitrary arrangement, comprising: expanding a virtual sound source wave field of the virtual sound source into a virtual sound source wave field multi-pole expansion; expanding a composite wave field generated by the plurality of speakers into a composite wave field multi-pole expansion; equating the virtual sound source wave field multi-pole expansion to the composite wave field multi-pole expansion to form a continuous equation; applying a set of constraints to the continuous equation that minimize an error in a sweet spot region, resulting in a linear system of equations; solving the linear system of equations using singular-value decomposition to arrive at a pseudo-inverse representing a source-to-speaker transfer function between the virtual sound source and each of the plurality of speakers; and applying the source-to-speaker transfer functions to a virtual sound source signal of the virtual sound source to spatially render the virtual sound source in the sweet spot region using the plurality of speakers in the arbitrary arrangement.