Intrinsic Limits of Dimensionality and Richness in Random Multipath Fields
IEEE Transactions on Signal Processing
Theory and Design of Soundfield Reproduction Using Continuous Loudspeaker Concept
IEEE Transactions on Audio, Speech, and Language Processing
The synthesis of sound figures
Multidimensional Systems and Signal Processing
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In this paper, we consider physical reproduction of sound fields via planar and linear distributions of secondary sources (i.e., loudspeakers). The presented approach employs a formulation of the reproduction equation in spatial frequency domain which is explicitly solved for the secondary source driving signals. Wave field synthesis (WFS), the alternative formulation, can be shown to be equivalent under equal assumptions. Unlike the WFS formulation, the presented approach does not employ a far-field approximation when linear secondary source distributions are considered but provides exact results. We focus on the investigation of the spatial truncation and discretization of the secondary source distribution occurring in real-world implementations and present a rigorous analysis of evanescent and propagating components in the reproduced sound field.