A Calibration Method for Linear Arrays in the Presence of Gain-Phase Errors

Zheng DAI; Weimin SU; Hong GU

doi:10.1587/transfun.2019EAL2160

A Calibration Method for Linear Arrays in the Presence of Gain-Phase Errors

Zheng DAI, Weimin SU, Hong GU

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Summary :

An offline sensor gain-phase errors calibration method for a linear array using a source in unknown location is proposed. The proposed method is realized through three steps. First, based on the observed covariance matrix, we construct a function related to direction, and it is proved that when the function takes the minimum value, the corresponding value should be the direction of the calibration source. Second, the direction of calibration source is estimated by locating the valley from the constructed function. Third, the gain-phase errors are obtained based on the estimated direction. The proposed method offers a number of advantages. First, the accurate direction measurement of the calibration source is not required. Second, only one calibration source needs to be arranged. Third, it does not require an iterative procedure or a two-dimensional (2D) spectral search. Fourth, the method is applicable to linear arrays, not only to uniform linear arrays (ULAs). Numerical simulations are presented to verify the efficacy of the proposed method.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E103-A No.6 pp.841-844

Publication Date: 2020/06/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.2019EAL2160

Type of Manuscript: LETTER

Category: Analog Signal Processing

Authors

Zheng DAI
  Nanjing University of Science and Technology
Weimin SU
  Nanjing University of Science and Technology
Hong GU
  Nanjing University of Science and Technology

Keyword

DOA estimation, gain-phase errors, errors calibration

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Zheng DAI, Weimin SU, Hong GU, "A Calibration Method for Linear Arrays in the Presence of Gain-Phase Errors" in IEICE TRANSACTIONS on Fundamentals, vol. E103-A, no. 6, pp. 841-844, June 2020, doi: 10.1587/transfun.2019EAL2160.
Abstract: An offline sensor gain-phase errors calibration method for a linear array using a source in unknown location is proposed. The proposed method is realized through three steps. First, based on the observed covariance matrix, we construct a function related to direction, and it is proved that when the function takes the minimum value, the corresponding value should be the direction of the calibration source. Second, the direction of calibration source is estimated by locating the valley from the constructed function. Third, the gain-phase errors are obtained based on the estimated direction. The proposed method offers a number of advantages. First, the accurate direction measurement of the calibration source is not required. Second, only one calibration source needs to be arranged. Third, it does not require an iterative procedure or a two-dimensional (2D) spectral search. Fourth, the method is applicable to linear arrays, not only to uniform linear arrays (ULAs). Numerical simulations are presented to verify the efficacy of the proposed method.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2019EAL2160/_p

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@ARTICLE{e103-a_6_841,
author={Zheng DAI, Weimin SU, Hong GU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Calibration Method for Linear Arrays in the Presence of Gain-Phase Errors},
year={2020},
volume={E103-A},
number={6},
pages={841-844},
abstract={An offline sensor gain-phase errors calibration method for a linear array using a source in unknown location is proposed. The proposed method is realized through three steps. First, based on the observed covariance matrix, we construct a function related to direction, and it is proved that when the function takes the minimum value, the corresponding value should be the direction of the calibration source. Second, the direction of calibration source is estimated by locating the valley from the constructed function. Third, the gain-phase errors are obtained based on the estimated direction. The proposed method offers a number of advantages. First, the accurate direction measurement of the calibration source is not required. Second, only one calibration source needs to be arranged. Third, it does not require an iterative procedure or a two-dimensional (2D) spectral search. Fourth, the method is applicable to linear arrays, not only to uniform linear arrays (ULAs). Numerical simulations are presented to verify the efficacy of the proposed method.},
keywords={},
doi={10.1587/transfun.2019EAL2160},
ISSN={1745-1337},
month={June},}

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TY - JOUR
TI - A Calibration Method for Linear Arrays in the Presence of Gain-Phase Errors
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 841
EP - 844
AU - Zheng DAI
AU - Weimin SU
AU - Hong GU
PY - 2020
DO - 10.1587/transfun.2019EAL2160
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E103-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2020
AB - An offline sensor gain-phase errors calibration method for a linear array using a source in unknown location is proposed. The proposed method is realized through three steps. First, based on the observed covariance matrix, we construct a function related to direction, and it is proved that when the function takes the minimum value, the corresponding value should be the direction of the calibration source. Second, the direction of calibration source is estimated by locating the valley from the constructed function. Third, the gain-phase errors are obtained based on the estimated direction. The proposed method offers a number of advantages. First, the accurate direction measurement of the calibration source is not required. Second, only one calibration source needs to be arranged. Third, it does not require an iterative procedure or a two-dimensional (2D) spectral search. Fourth, the method is applicable to linear arrays, not only to uniform linear arrays (ULAs). Numerical simulations are presented to verify the efficacy of the proposed method.
ER -