An analytical approach to local sound field synthesis using linear arrays of loudspeakers

Methods like Wave Field Synthesis aim at the synthesis of a given desired sound field over a large receiver area. Practical limitations lead to considerable artifacts commonly referred to as spatial aliasing. Above a given frequency these artifacts are apparent anywhere in the receiver area when linear arrays of secondary sources are considered. This paper presents an analytical approach based on the Spectral Division Method which achieves an accuracy of the synthesized sound field which is significantly higher than in conventional approaches in a limited target zone. This local increase in accuracy is achieved via a manipulation of the spatial bandwidth of the secondary source driving function.