In the IEEE/ACM Transactions on Audio, Speech, and Language Processing (Volume:24 , Issue: 5 ) we published
Winter, F.; Ahrens, J.; Spors, S. (2016), “On Analytic Methods for 2.5-D Local Sound Field Synthesis Using Circular Distributions of Secondary Sources,” In: IEEE/ACM Transactions on Audio, Speech, and Language Processing, vol. 24, no. 5
The paper can be found here.
Abstract:
Sound Field Synthesis techniques reproduce a virtual sound field inside an
extended listening area using a distribution of loudspeakers located on the
area’s boundary. The theoretical foundations of such techniques assume a
spatially smooth boundary. Non-smooth shapes, like e.g. rectangles, are however
more suitable in practical applications since the loudspeaker setup has to
fit into the architecture of the listening room. Such discrepancy introduces
diffraction artefacts to the reproduced sound field. Consequentially, deviations
from desired sound field with respect to amplitude and spectral properties
are present.
This paper compares Wave Field Synthesis, Local Wave Field Synthesis, and an
analytically derived solution for rectangular geometries regarding the
mentioned artefacts.