Differential Beamforming on Graphs

Huang G, Benesty J, Cohen I, Chen J (2020)

Publication Type: Journal article

Publication year: 2020

Journal

IEEE/ACM Transactions on Audio, Speech and Language Processing Institute of Electrical and Electronics Engineers (IEEE)

Book Volume: 28

Pages Range: 901-913

Article Number: 8998233

DOI: 10.1109/TASLP.2020.2973795

Abstract

In this article, we study differential beamforming from a graph perspective. The microphone array used for differential beamforming is viewed as a graph, where its sensors correspond to the nodes, the number of microphones corresponds to the order of the graph, and linear spatial difference equations among microphones are related to graph edges. Specifically, for the first-order differential beamforming with an array of M microphones, each pair of adjacent microphones are directly connected, resulting in M-1 spatial difference equations. On a graph, each of these equations corresponds to a 2-clique. For the second-order differential beamforming, each three adjacent microphones are directly connected, resulting in M-2 second-order spatial difference equations, and each of these equations corresponds to a 3-clique. In an analogous manner, the differential microphone array for any order of differential beamforming can be viewed as a graph. From this perspective, we then derive a class of differential beamformers, including the maximum white noise gain beamformer, the maximum directivity factor one, and optimal compromising beamformers. Simulations are presented to demonstrate the performance of the derived differential beamformers.

Authors with CRIS profile

Gongping Huang

Involved external institutions

Northwestern Polytechnical University / 西北工业大学 (NPU/NWPU) CN China (CN) Université Laval (UL) CA Canada (CA) Technion - Israel Institute of Technology IL Israel (IL)

How to cite

APA:

Huang, G., Benesty, J., Cohen, I., & Chen, J. (2020). Differential Beamforming on Graphs. IEEE/ACM Transactions on Audio, Speech and Language Processing, 28, 901-913. https://doi.org/10.1109/TASLP.2020.2973795

MLA:

Huang, Gongping, et al. "Differential Beamforming on Graphs." IEEE/ACM Transactions on Audio, Speech and Language Processing 28 (2020): 901-913.

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