Spatial correlation characterization of a uniform circular array in 3D MIMO systems

Handle URI:
http://hdl.handle.net/10754/621337
Title:
Spatial correlation characterization of a uniform circular array in 3D MIMO systems
Authors:
Nadeem, Qurrat-Ul-Ain ( 0000-0001-8423-3482 ) ; Kammoun, Abla ( 0000-0002-0195-3159 ) ; Debbah, Merouane; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
In this paper, we consider a uniform circular array (UCA) of directional antennas at the base station (BS) and the mobile station (MS) and derive an exact closed-form expression for the spatial correlation present in the 3D multiple-input multiple-output (MIMO) channel constituted by these arrays. The underlying method leverages the mathematical convenience of the spherical harmonic expansion (SHE) of plane waves and the trigonometric expansion of Legendre and associated Legendre polynomials. In contrast to the existing results, this generalized closed-form expression is independent of the form of the underlying angular distributions and antenna patterns. Moreover, the incorporation of the elevation dimension into the antenna pattern and channel model renders the proposed expression extremely useful for the performance evaluation of 3D MIMO systems in the future. Verification is achieved with the help of simulation results, which highlight the dependence of the spatial correlation on channel and array parameters. An interesting interplay between the mean angle of departure (AoD), angular spread and the positioning of antennas in the array is demonstrated. © 2016 IEEE.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Nadeem Q-U-A, Kammoun A, Debbah M, Alouini M-S (2016) Spatial correlation characterization of a uniform circular array in 3D MIMO systems. 2016 IEEE 17th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC). Available: http://dx.doi.org/10.1109/SPAWC.2016.7536796.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2016 IEEE 17th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)
Conference/Event name:
17th IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2016
Issue Date:
11-Aug-2016
DOI:
10.1109/SPAWC.2016.7536796
Type:
Conference Paper
Sponsors:
305123, ERC; KAUST
Appears in Collections:
Conference Papers; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorNadeem, Qurrat-Ul-Ainen
dc.contributor.authorKammoun, Ablaen
dc.contributor.authorDebbah, Merouaneen
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2016-11-03T06:57:59Z-
dc.date.available2016-11-03T06:57:59Z-
dc.date.issued2016-08-11en
dc.identifier.citationNadeem Q-U-A, Kammoun A, Debbah M, Alouini M-S (2016) Spatial correlation characterization of a uniform circular array in 3D MIMO systems. 2016 IEEE 17th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC). Available: http://dx.doi.org/10.1109/SPAWC.2016.7536796.en
dc.identifier.doi10.1109/SPAWC.2016.7536796en
dc.identifier.urihttp://hdl.handle.net/10754/621337-
dc.description.abstractIn this paper, we consider a uniform circular array (UCA) of directional antennas at the base station (BS) and the mobile station (MS) and derive an exact closed-form expression for the spatial correlation present in the 3D multiple-input multiple-output (MIMO) channel constituted by these arrays. The underlying method leverages the mathematical convenience of the spherical harmonic expansion (SHE) of plane waves and the trigonometric expansion of Legendre and associated Legendre polynomials. In contrast to the existing results, this generalized closed-form expression is independent of the form of the underlying angular distributions and antenna patterns. Moreover, the incorporation of the elevation dimension into the antenna pattern and channel model renders the proposed expression extremely useful for the performance evaluation of 3D MIMO systems in the future. Verification is achieved with the help of simulation results, which highlight the dependence of the spatial correlation on channel and array parameters. An interesting interplay between the mean angle of departure (AoD), angular spread and the positioning of antennas in the array is demonstrated. © 2016 IEEE.en
dc.description.sponsorship305123, ERC; KAUSTen
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.titleSpatial correlation characterization of a uniform circular array in 3D MIMO systemsen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2016 IEEE 17th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)en
dc.conference.date3 July 2016 through 6 July 2016en
dc.conference.name17th IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2016en
dc.contributor.institutionMathematical and Algorithmic Sciences Lab, Huawei France RandD, Paris, Franceen
kaust.authorNadeem, Qurrat-Ul-Ainen
kaust.authorKammoun, Ablaen
kaust.authorAlouini, Mohamed-Slimen
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