Design of robust differential microphone arrays with orthogonal polynomials

The Journal of the Acoustical Society of America
Chao PanJingdong Chen

Abstract

Differential microphone arrays have the potential to be widely deployed in hands-free communication systems thanks to their frequency-invariant beampatterns, high directivity factors, and small apertures. Traditionally, they are designed and implemented in a multistage way with uniform linear geometries. This paper presents an approach to the design of differential microphone arrays with orthogonal polynomials, more specifically with Jacobi polynomials. It first shows how to express the beampatterns as a function of orthogonal polynomials. Then several differential beamformers are derived and their performance depends on the parameters of the Jacobi polynomials. Simulations show the great flexibility of the proposed method in terms of designing any order differential microphone arrays with different beampatterns and controlling white noise gain.

References

Dec 2, 2010·The Journal of the Acoustical Society of America·Thushara D Abhayapala, Aastha Gupta
Dec 7, 2014·The Journal of the Acoustical Society of America·Jingdong ChenChao Pan

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Citations

Apr 5, 2017·The Journal of the Acoustical Society of America·Xijing GuoShi'e Yang
Jan 3, 2019·The Journal of the Acoustical Society of America·Xianghui WangJingdong Chen
Dec 31, 2020·Sensors·Yuzhu WangGongping Huang

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