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Ambiguity Resolution in Direction of Arrival Estimation with Linear Antenna Arrays Using Differential Geometry

Alamgir Safi1, Muhammad Asghar Khan2,*, Fahad Algarni3, Muhammad Adnan Aziz1, M. Irfan Uddin4, Insaf Ullah2, Tanweer Ahmad Cheema1

1 Department of Electronic Engineering, ISRA University, Islamabad, 44000, Pakistan
2 Hamdard Institute of Engineering & Technology, Islamabad, 44000, Pakistan
3 College of Computing and Information Technology, University of Bisha, Bisha, Saudi Arabia
4 Institute of Computing, Kohat University of Science and Technology, Kohat, Pakistan

* Corresponding Author: Muhammad Asghar Khan. Email: email

(This article belongs to this Special Issue: Advances in 5G Antenna Designs and Systems)

Computers, Materials & Continua 2022, 70(1), 581-599.


Linear antenna arrays (LAs) can be used to accurately predict the direction of arrival (DOAs) of various targets of interest in a given area. However, under certain conditions, LA suffers from the problem of ambiguities among the angles of targets, which may result in misinterpretation of such targets. In order to cope up with such ambiguities, various techniques have been proposed. Unfortunately, none of them fully resolved such a problem because of rank deficiency and high computational cost. We aimed to resolve such a problem by proposing an algorithm using differential geometry. The proposed algorithm uses a specially designed doublet antenna array, which is made up of two individual linear arrays. Two angle observation models, ambiguous observation model (AOM) and estimated observation model (EOM), are derived for each individual array. The ambiguous set of angles is contained in the AOM, which is obtained from the corresponding array elements using differential geometry. The EOM for each array, on the other hand, contains estimated angles of all sources impinging signals on each array, as calculated by a direction-finding algorithm such as the genetic algorithm. The algorithm then contrasts the EOM of each array with its AOM, selecting the output of that array whose EOM has the minimum correlation with its corresponding AOM. In comparison to existing techniques, the proposed algorithm improves estimation accuracy and has greater precision in antenna aperture selection, resulting in improved resolution capabilities and the potential to be used more widely in practical scenarios. The simulation results using MATLAB authenticates the effectiveness of the proposed algorithm.


Cite This Article

A. Safi, M. Asghar Khan, F. Algarni, M. Adnan Aziz, M. Irfan Uddin et al., "Ambiguity resolution in direction of arrival estimation with linear antenna arrays using differential geometry," Computers, Materials & Continua, vol. 70, no.1, pp. 581–599, 2022.


cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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