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Sound Field Synthesis of Virtual Cylindrical Waves Using Circular and Spherical Loudspeaker Arrays

In sound field synthesis, like near-field compensated higher-order Ambisonics or Wave Field Synthesis, various virtual source models are used to describe a virtual sound scene. In near-field compensated higher-order Ambisonics, the virtual sound field has to be expanded into spherical harmonics. Unlike plane waves or spherical waves, cylindrical waves are not conveniently represented in the spherical harmonics domain. In this paper we tackle this problem and derive closed form driving functions for virtual cylindrical waves. The physical properties of synthesized sound fields are investigated through numerical simulations, where the results are compared with virtual cylindrical waves in wave field synthesis.

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