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Investigations on cylindrical microphone arrays

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This contribution discusses sound field recording with microphone arrays on the finite rigid cylinder. Sound field analysis with rigid cylinders has been discussed most often using the solutions of the Helmholtz equation in two dimensions. Rigid cylindrical arrays of finite length cannot be formulated in such an elegant way. Nevertheless, it is possible to simulate a rigid cylindrical array using the boundary element method to obtain the responses to an incident field. To compare the characteristics of rigid cylinder arrays to rigid spherical arrays, the incident field is expanded into spherical harmonics. For both spherical and cylindrical arrays, the decomposition with regard to azimuth is easily achieved in terms of trigonometric functions, even when using only microphones on the equatorial plane. Discrimination between different elevation angles is improved by adding more microphones on different heights on the cylinder. This is shown for cylindrical bodies with different diameter-to-height ratios in comparison with spherical arrays.

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