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Spatial interpolation methods for virtual rotating array beamforming with arbitrary microphone configurations


Virtual rotating array (VRA) beamforming is a robust technique in the identification of rotating sound sources in frequency-domain. Under normal circumstances, the configuration of microphone array is established in ring geometry centred around the rotating axis. Two interpolation methods for arbitrary microphone configurations are proposed by Jekosch and Sarradj (Acoustics, 2020). One is to construct a mesh between all stationary microphones using Delaunay-triangulation, another one is a meshless technique based on radial basis function. However, whether other spatial interpolation methods are available in VRA beamforming with arbitrary microphone configurations is still unclear. This paper adds several new spatial interpolation methods in VRA beamforming and detailedly compares the performances of these interpolation methods in simulations. The simulating results demonstrated that all these interpolation methods are successfully applied in VRA beamforming with arbitrary microphone configurations. Inverse distance weighting interpolation method owns the best performance in rotating sound source localization. In addition, all these interpolation methods have poor spectrum construction capability and sound source strength precision.

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The authors gratefully acknowledge the helpful comments and suggestions of the reviewers, which have improved the presentation. This work is supported by the National Science and Technology Major Project of China (2017-II-003-0015).


This study was funded by National Science and Technology Major Project of China (2017-II-003-0015).

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Conceptualization and design: [Wei Ma, Jiacheng Yang, Ce Zhang]; Methodology: [Jiacheng Yang]; Formal analysis and investigation: [Jiacheng Yang, Ce Zhang]; Material preparation, data collection and analysis: [Jiacheng Yang]; Original draft preparation: [Jiacheng Yang]; Writing, review and editing: [Wei Ma, Jiacheng Yang, Ce Zhang]; Funding acquisition: [Wei Ma]; Supervision: [Wei Ma]. All authors read and approved the final manuscript.

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Correspondence to Jiacheng Yang.

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Yang, J., Zhang, C. & Ma, W. Spatial interpolation methods for virtual rotating array beamforming with arbitrary microphone configurations. AS 5, 149–158 (2022).

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  • Beamforming
  • Rotating sound source localization
  • Virtual rotating array
  • Spatial interpolation method