Title
Kronecker Product Beamforming with Multiple Differential Microphone Arrays
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.
Year
DOI
Venue
2020
10.1109/SAM48682.2020.9104333
2020 IEEE 11th Sensor Array and Multichannel Signal Processing Workshop (SAM)
Keywords
DocType
ISSN
Microphone arrays,differential beamforming,Kronecker product,superdirectivity,multiple arrays.
Conference
1551-2282
ISBN
Citations 
PageRank 
978-1-7281-1947-2
1
0.36
References 
Authors
12
4
Name
Order
Citations
PageRank
Gongping Huang17613.39
Israel Cohen2202.88
Jacob Benesty31386136.42
Jingdong Chen41460128.79