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Two-Dimensional Super-Resolution Direction-of-Arrival Estimation for Arbitrary Planar Array Geometries

Chongqing Automotive Power System Testing Engineering, Technology Research Center, School of Vehicles Engineering, Chongqing Industry Polytechnic College, Chongqing, P. R. China

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Yongxin Yang

https://orcid.org/0000-0003-2451-1457

Chongqing Automotive Power System Testing Engineering, Technology Research Center, School of Vehicles Engineering, Chongqing Industry Polytechnic College, Chongqing, P. R. China

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, and

Zhigang Chu

https://orcid.org/0000-0001-5603-4590

College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing, P. R. China

E-mail Address: zgchu@cqu.edu.cn

Corresponding author.

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https://doi.org/10.1142/S2591728523400017Cited by:0 (Source: Crossref)

This article is part of the issue:

Special Issue on Inverse Problems in Acoustics
Edited by Chuan-Xing Bi, Fangli Ning, Zhigang Chu and Yangfan Liu

Abstract

The two-dimensional grid-free compressed sensing method with planar microphone arrays is expected to achieve super-resolution direction-of-arrival (DOA) estimation for acoustic sources in the hemispherical space in front of array. The existing methods are not yet well compatible with arbitrary planar array geometries. In this paper, we aim to break this limitation and explore a novel method applicable to arbitrary planar array geometries. First, the covariance between source-induced signals at arbitrary two microphones is formulated as related to the two-dimensional inverse Fourier transform of the source strength. Then, a mathematical model with a source sparsity constraint is built in the continuous domain to denoise the covariances of measured signals, which can be solved by decoupled positive semidefinite programming. Finally, the DOAs are extracted from the solution of the mathematical model via a matrix pencil and pairing method. Simulation and experimental results demonstrate the effectiveness of the proposed method.

Keywords:

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