Sound field recording with arrays made of omnidirectional microphones suffers from an ill-conditioned problem due to the zero and small values of the spherical Bessel function. This article proposes a geometric design of a microphone array for broadband two dimensional (2D) sound field recording and reproduction. The design is parametric, with a layout having a discrete rotationally symmetric geometry composed of several geometrically similar subarrays. The actual parameters of the proposed layout can be determined for various acoustic situations to give optimized results. This design has the advantage that it simultaneously satisfies many important requirements of microphone arrays such as error robustness, operating bandwidth, and microphone unit efficiency.
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