Direction-of-Arrival Estimation of Electromagnetic Wave Impinging on Spherical Antenna Array in the Presence of Mutual Coupling Using a Multiple Signal Classification Method

A spherical antenna array (SAA) is the configuration of choice in obtaining an antenna array with isotropic characteristics. An SAA has the capacity to receive an electromagnetic wave (EM) with equal intensity irrespective of the direction-of-arrival (DoA) and polarization. Therefore, the DoA estima...

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Autores principales:	Oluwole John Famoriji, Thokozani Shongwe
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	spherical antenna array Fourier series polynomial root spherical harmonic function DoA estimation Electronics TK7800-8360
Acceso en línea:	https://doaj.org/article/e76b4f3da2aa434d9c2adfe6705d346c
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spelling	oai:doaj.org-article:e76b4f3da2aa434d9c2adfe6705d346c2021-11-11T15:39:16ZDirection-of-Arrival Estimation of Electromagnetic Wave Impinging on Spherical Antenna Array in the Presence of Mutual Coupling Using a Multiple Signal Classification Method10.3390/electronics102126512079-9292https://doaj.org/article/e76b4f3da2aa434d9c2adfe6705d346c2021-10-01T00:00:00Zhttps://www.mdpi.com/2079-9292/10/21/2651https://doaj.org/toc/2079-9292A spherical antenna array (SAA) is the configuration of choice in obtaining an antenna array with isotropic characteristics. An SAA has the capacity to receive an electromagnetic wave (EM) with equal intensity irrespective of the direction-of-arrival (DoA) and polarization. Therefore, the DoA estimation of electromagnetic (EM) waves impinging on an SAA with unknown mutual coupling needs to be considered. In the spherical domain, the traditional multiple signal classification algorithm (SH-MUSIC) is faced with a computational complexity problem. This paper presents a one-dimensional MUSIC method (1D-MUSIC) for the estimation of the azimuth and elevation angles. An intermediate mapping matrix that exists between Fourier series and the spherical harmonic function is designed, and the Fourier series Vandermonde structure is used for the realization of the polynomial rooting technique. This mapping matrix can be computed prior to the DoA estimation, and it is only a function of the array configuration. Based on the mapping matrix, the 2-D angle search is transformed into two 1-D angle findings. Employing the features of the Fourier series, two root polynomials are designed for the estimation of the elevation and azimuth angles, spontaneously. The developed method avoids the 2-D spectral search, and angles are paired in automation. Both numerical simulation results, and results from experimental measured data (i.e., with mutual coupling effect incorporated), show the validity, potency, and potential practical application of the developed algorithm.Oluwole John FamorijiThokozani ShongweMDPI AGarticlespherical antenna arrayFourier seriespolynomial rootspherical harmonic functionDoA estimationElectronicsTK7800-8360ENElectronics, Vol 10, Iss 2651, p 2651 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	spherical antenna array Fourier series polynomial root spherical harmonic function DoA estimation Electronics TK7800-8360
spellingShingle	spherical antenna array Fourier series polynomial root spherical harmonic function DoA estimation Electronics TK7800-8360 Oluwole John Famoriji Thokozani Shongwe Direction-of-Arrival Estimation of Electromagnetic Wave Impinging on Spherical Antenna Array in the Presence of Mutual Coupling Using a Multiple Signal Classification Method
description	A spherical antenna array (SAA) is the configuration of choice in obtaining an antenna array with isotropic characteristics. An SAA has the capacity to receive an electromagnetic wave (EM) with equal intensity irrespective of the direction-of-arrival (DoA) and polarization. Therefore, the DoA estimation of electromagnetic (EM) waves impinging on an SAA with unknown mutual coupling needs to be considered. In the spherical domain, the traditional multiple signal classification algorithm (SH-MUSIC) is faced with a computational complexity problem. This paper presents a one-dimensional MUSIC method (1D-MUSIC) for the estimation of the azimuth and elevation angles. An intermediate mapping matrix that exists between Fourier series and the spherical harmonic function is designed, and the Fourier series Vandermonde structure is used for the realization of the polynomial rooting technique. This mapping matrix can be computed prior to the DoA estimation, and it is only a function of the array configuration. Based on the mapping matrix, the 2-D angle search is transformed into two 1-D angle findings. Employing the features of the Fourier series, two root polynomials are designed for the estimation of the elevation and azimuth angles, spontaneously. The developed method avoids the 2-D spectral search, and angles are paired in automation. Both numerical simulation results, and results from experimental measured data (i.e., with mutual coupling effect incorporated), show the validity, potency, and potential practical application of the developed algorithm.
format	article
author	Oluwole John Famoriji Thokozani Shongwe
author_facet	Oluwole John Famoriji Thokozani Shongwe
author_sort	Oluwole John Famoriji
title	Direction-of-Arrival Estimation of Electromagnetic Wave Impinging on Spherical Antenna Array in the Presence of Mutual Coupling Using a Multiple Signal Classification Method
title_short	Direction-of-Arrival Estimation of Electromagnetic Wave Impinging on Spherical Antenna Array in the Presence of Mutual Coupling Using a Multiple Signal Classification Method
title_full	Direction-of-Arrival Estimation of Electromagnetic Wave Impinging on Spherical Antenna Array in the Presence of Mutual Coupling Using a Multiple Signal Classification Method
title_fullStr	Direction-of-Arrival Estimation of Electromagnetic Wave Impinging on Spherical Antenna Array in the Presence of Mutual Coupling Using a Multiple Signal Classification Method
title_full_unstemmed	Direction-of-Arrival Estimation of Electromagnetic Wave Impinging on Spherical Antenna Array in the Presence of Mutual Coupling Using a Multiple Signal Classification Method
title_sort	direction-of-arrival estimation of electromagnetic wave impinging on spherical antenna array in the presence of mutual coupling using a multiple signal classification method
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/e76b4f3da2aa434d9c2adfe6705d346c
work_keys_str_mv	AT oluwolejohnfamoriji directionofarrivalestimationofelectromagneticwaveimpingingonsphericalantennaarrayinthepresenceofmutualcouplingusingamultiplesignalclassificationmethod AT thokozanishongwe directionofarrivalestimationofelectromagneticwaveimpingingonsphericalantennaarrayinthepresenceofmutualcouplingusingamultiplesignalclassificationmethod
_version_	1718434703615197184

Direction-of-Arrival Estimation of Electromagnetic Wave Impinging on Spherical Antenna Array in the Presence of Mutual Coupling Using a Multiple Signal Classification Method

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