Sound field measurement and reproduction is a fundamental problem in acoustic signal processing. In this work, planar and spherical microphone arrays have been analysed for a complete characterisation of the sound fields in reverberant enclosures by decomposing the sound field into cylindrical or spherical harmonics. An analytical study based on plane wave decomposition and array performance analysis has been carried out. A spherical harmonics expansion of the acoustic field produced by a plane-wave source to derive performance bounds on the reproduction of this sound field within a sphere has been used for a three dimensional case. The results obtained can be used for the design of arrays and the analysis of the high spatial detail imposed by the complexity of the sound field.
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Sampling configuration employed for the microphone array simulation
