On Calibration and Direction Finding with Uniform Circular Arrays

Antenna array calibration methods and narrowband direction finding (DF) techniques will be outlined and compared for a uniform circular array. DF is stated as an inverse problem, which solution requires a parametric model of the array itself. Because real arrays suffer from mechanical and electrical...

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Main Authors: Stephan Häfner, Martin Käske, Reiner Thomä
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2019/1523469
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author Stephan Häfner
Martin Käske
Reiner Thomä
author_facet Stephan Häfner
Martin Käske
Reiner Thomä
author_sort Stephan Häfner
collection DOAJ
description Antenna array calibration methods and narrowband direction finding (DF) techniques will be outlined and compared for a uniform circular array. DF is stated as an inverse problem, which solution requires a parametric model of the array itself. Because real arrays suffer from mechanical and electrical imperfections, analytic array models are per se not applicable. Mitigation of such disturbances by a global calibration matrix will be addressed, and methods to estimate this calibration matrix will be recapped from literature. Also, a novel method will be presented, which circumvents the problem of a changed noise statistic due to calibration. Furthermore, local calibration, where array calibration measurements are incorporated in the DF algorithm, is considered as well. Common DF algorithms will be outlined, their assumptions regarding array properties will be addressed, and required preprocessing steps such as the beam-space transformation will be presented. Also, two novel DF techniques will be proposed, based on the Capon beamformer, but with reduced computational effort and higher resolution for bearing estimation. Simulations are used to exemplary compare calibration and DF methods in conjunction with each other. Furthermore, measurements with a single and two coherent sources are considered. It turns out that global calibration enables computational efficient DF algorithms but causes biased estimates. Furthermore, resolution of two coherent sources necessitates array calibration.
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spelling doaj-art-707e3480ec334375900504e94b1433962025-02-03T06:06:10ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772019-01-01201910.1155/2019/15234691523469On Calibration and Direction Finding with Uniform Circular ArraysStephan Häfner0Martin Käske1Reiner Thomä2Electronic Measurements and Signal Processing Group, Technische Universität Ilmenau, 98684 Ilmenau, GermanyElectronic Measurements and Signal Processing Group, Technische Universität Ilmenau, 98684 Ilmenau, GermanyElectronic Measurements and Signal Processing Group, Technische Universität Ilmenau, 98684 Ilmenau, GermanyAntenna array calibration methods and narrowband direction finding (DF) techniques will be outlined and compared for a uniform circular array. DF is stated as an inverse problem, which solution requires a parametric model of the array itself. Because real arrays suffer from mechanical and electrical imperfections, analytic array models are per se not applicable. Mitigation of such disturbances by a global calibration matrix will be addressed, and methods to estimate this calibration matrix will be recapped from literature. Also, a novel method will be presented, which circumvents the problem of a changed noise statistic due to calibration. Furthermore, local calibration, where array calibration measurements are incorporated in the DF algorithm, is considered as well. Common DF algorithms will be outlined, their assumptions regarding array properties will be addressed, and required preprocessing steps such as the beam-space transformation will be presented. Also, two novel DF techniques will be proposed, based on the Capon beamformer, but with reduced computational effort and higher resolution for bearing estimation. Simulations are used to exemplary compare calibration and DF methods in conjunction with each other. Furthermore, measurements with a single and two coherent sources are considered. It turns out that global calibration enables computational efficient DF algorithms but causes biased estimates. Furthermore, resolution of two coherent sources necessitates array calibration.http://dx.doi.org/10.1155/2019/1523469
spellingShingle Stephan Häfner
Martin Käske
Reiner Thomä
On Calibration and Direction Finding with Uniform Circular Arrays
International Journal of Antennas and Propagation
title On Calibration and Direction Finding with Uniform Circular Arrays
title_full On Calibration and Direction Finding with Uniform Circular Arrays
title_fullStr On Calibration and Direction Finding with Uniform Circular Arrays
title_full_unstemmed On Calibration and Direction Finding with Uniform Circular Arrays
title_short On Calibration and Direction Finding with Uniform Circular Arrays
title_sort on calibration and direction finding with uniform circular arrays
url http://dx.doi.org/10.1155/2019/1523469
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