Spherically Steerable Vector Differential Microphone Arrays


Hachabiboglu H.

IEEE/ACM Transactions on Audio Speech and Language Processing, vol.32, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32
  • Publication Date: 2024
  • Doi Number: 10.1109/taslp.2024.3458799
  • Journal Name: IEEE/ACM Transactions on Audio Speech and Language Processing
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, RILM Abstracts of Music Literature
  • Keywords: beamforming, differential microphone arrays, quaternion signal processing, spherical harmonic decomposition
  • Middle East Technical University Affiliated: Yes

Abstract

Differential microphone arrays (DMAs) use multiple omnidirectional microphones for synthesising higher-order microphone directivity patterns. In their most basic form, they can be used to obtain fixed-directivity or horizontally steerable beamformers that can satisfy certain constraints. We propose a vector differential microphone array (VDMA) which is frequency- and direction-invariantly steerable in three dimensions. The proposed design comprises pressure and particle velocity sensors positioned on a circular constellation in a plane and allows extracting the third-order spherical harmonic decomposition of the sound field. This decomposition can then be used to obtain spherically direction-invariant steered beams. Synthesis of a maximum directivity factor (MaxDF) directivity pattern is demonstrated. A closed-form expression for the proposed array's white noise gain (WNG) is derived. The robustness of the proposed design to noise is analysed.