Spherically Steerable Vector Differential Microphone Arrays


Hachabiboglu H.

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

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1109/taslp.2024.3458799
  • Dergi Adı: IEEE/ACM Transactions on Audio Speech and Language Processing
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, RILM Abstracts of Music Literature
  • Anahtar Kelimeler: beamforming, differential microphone arrays, quaternion signal processing, spherical harmonic decomposition
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.