This research describes a sound field synthesis method that reconstructs a desired sound field within an extended listening area by taking into account psychoacoustic perceptual constraints. The proposed approach covers the complete system: (a) measuring the radiation characteristics by means of microphone array technique; (b) storing the radiation characteristics in a database, (c) propagating an arbitrary source sound toward an extended listening area by considering sources as complex point sources, and (d) reconstructing this sound field with a loudspeaker array by solving a linear equation system for discrete listening points that sample the listening area. By capturing and reconstructing the sound radiation characteristics of musical instruments, a spatial sound impression can be created. Psychoacoustic considerations are implemented to allow for wave fronts arriving from different angles and at different points in time while maintaining precise source localization and a natural and spatial sound impression. Furthermore, the psychoacoustic considerations reduce the computational costs, as illustrated by solving the linear equations for only 25 selected frequencies. Strengths and weaknesses and benefits and limitations of the psychoacoustic sound field synthesis approach are investigated in a listening test. A simulation demonstrates that the approach is valid up to a critical spatial frequency that is given by the distribution of the listening points.
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