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Open AccessArticle

Gridless Sparse Direction Finding Method for Correlated Signals with Gain-Phase Errors

1
School of Information Science and Engineering, Southeast University, Nanjing 211189, China
2
State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China
3
School of Electronic and Information Engineering, Shanghai Dianji University, Shanghai 201306, China
*
Author to whom correspondence should be addressed.
Electronics 2019, 8(5), 557; https://doi.org/10.3390/electronics8050557 (registering DOI)
Received: 26 April 2019 / Revised: 9 May 2019 / Accepted: 15 May 2019 / Published: 17 May 2019
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Abstract

In practical array systems, the gain-phase errors among antennas degrade the performance of direction finding significantly. In this paper, a novel sparse system model for direction of arrival (DOA) estimation in the scenario with gain-phase errors is proposed by exploiting the signal sparsity in the spatial domain. In contrast to the existing sparse-based methods using the grids to construct the dictionary matrix, a novel gridless method based on atomic norm and convex optimization is proposed, where the gain-phase errors are described by a diagonal matrix. With the Schur complement, a semidefinite programming is formulated from the optimization problem, and can be solved efficiently. With the gain-phase errors, the corresponding Cram’er-Rao lower bound (CRLB) of direction finding is derived as an estimation benchmark. Simulation results show that the proposed method performs better than the state-of-the-art methods in the scenario with correlated signals and gain-phase errors. View Full-Text
Keywords: atomic norm; semidefinite program; correlated signals; DOA estimation; gain-phase errors atomic norm; semidefinite program; correlated signals; DOA estimation; gain-phase errors
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Zhang, X.; Liu, L.; Chen, P.; Cao, Z.; Chen, Z. Gridless Sparse Direction Finding Method for Correlated Signals with Gain-Phase Errors. Electronics 2019, 8, 557.

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