Kronecker product beamforming with multiple differential microphone arrays

Gongping Huang, Israel Cohen, Jacob Benesty, Jingdong Chen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Differential microphone arrays (DMAs) are very attractive because of their high directional gains and frequency-invariant beampatterns. However, it is generally required that the array aperture is small, such that the DMA can respond to acoustic pressure differentials. In this paper, we propose a method to design differential beamformers with larger arrays consisting of multiple DMAs. In our study, conventional DMAs are considered as elementary units. The beamforming process consists of elementary differential beamformers and an additional beamformer that combines the multiple DMAs' outputs. The steering vector of the global array is written as a Kronecker product of the steering vectors of an elementary DMA unit and the virtual array constructed from all the DMA units. This enables to design the global beamformer as a Kronecker product of the differential beamformer and the beamformer that corresponds to the virtual array. With the proposed method, one can take advantage of the good properties of DMAs for the design of beamformers with any size of microphone array.

Original languageEnglish
Title of host publication2020 IEEE 11th Sensor Array and Multichannel Signal Processing Workshop, SAM 2020
ISBN (Electronic)9781728119465
DOIs
StatePublished - Jun 2020
Event11th IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2020 - Hangzhou, China
Duration: 8 Jun 202011 Jun 2020

Publication series

NameProceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop
Volume2020-June

Conference

Conference11th IEEE Sensor Array and Multichannel Signal Processing Workshop, SAM 2020
Country/TerritoryChina
CityHangzhou
Period8/06/2011/06/20

Keywords

  • Differential beamforming
  • Kronecker product
  • Microphone arrays
  • Multiple arrays
  • Superdirectivity

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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