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2020-11-22
Self-Calibration Algorithm with Gain-Phase Errors Array for Robust DOA Estimation
By
Zhenyu Wei,

    Dr. Zhenyu Wei

    Harbin Engineering University

    China

    Homepage

Wei Wang,

    Dr. Wei Wang

    Harbin Engineering University

    China

    Homepage

Fuwang Dong,

    Dr. Fuwang Dong

    Harbin Engineering University

    China

    Homepage

Ping Liu

    Dr. Ping Liu

    Harbin Engineering University

    China

    Homepage

Progress In Electromagnetics Research M, Vol. 99, 1-12, 2021
doi:10.2528/PIERM20090701 | Google Scholar

Abstract
The performance of direction-of-arrival (DOA) estimation algorithms degrades when a partly calibrated array is adopted due to the existing unknown gain-phase uncertainties. In addition, the spatial discretized searching grid also limits the performance improvement and effectiveness of subspace-based DOA estimation algorithms, especially when the true angles do not lie on the grid points which is referred to the off-grid problem alike. In this paper, a self-calibration DOA estimation algorithm is proposed which solves the array calibration and off-grid problems simultaneously. Firstly, the signal model for a partly calibrated array with gain-phase uncertainties is established. To suppress the off-grid errors, an optimization problem for joint parameters estimation is constructed by substituting the approximation of the steering vector into a newly constructed objective function. The alternative minimization (AM) algorithm is employed to calculate the joint DOA and gain-phase uncertainty estimations. Within each iteration step of the optimization problem, a closed-form solution is derived that guarantees the convergence of the proposed algorithm. Furthermore, the Cramer-Rao bound (CRB) for the partly calibrated arrays with unknown gain-phase uncertainties is also derived and analyzed in the paper. Simulation results demonstrate the effectiveness of the proposed algorithm.
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Citation
Zhenyu Wei, Wei Wang, Fuwang Dong, and Ping Liu, "Self-Calibration Algorithm with Gain-Phase Errors Array for Robust DOA Estimation," Progress In Electromagnetics Research M, Vol. 99, 1-12, 2021.
doi:10.2528/PIERM20090701
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