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

Qurrat-Ul-Ain Nadeem; Abla Kammoun; Merouane Debbah; Mohamed-Slim Alouini

doi:10.1109/SPAWC.2016.7536796

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

Qurrat-Ul-Ain Nadeem, Abla Kammoun, Merouane Debbah, Mohamed-Slim Alouini

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

11 Scopus citations

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.

Original language	English (US)
Title of host publication	2016 IEEE 17th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)	9781509017492
DOIs	https://doi.org/10.1109/SPAWC.2016.7536796
State	Published - Aug 11 2016

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 305123, ERC; KAUST

Access to Document

10.1109/SPAWC.2016.7536796

Cite this

@inproceedings{80e4aabaa3d1434aae21bd288d0b7455,

title = "Spatial correlation characterization of a uniform circular array in 3D MIMO systems",

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. {\textcopyright} 2016 IEEE.",

author = "Qurrat-Ul-Ain Nadeem and Abla Kammoun and Merouane Debbah and Mohamed-Slim Alouini",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: 305123, ERC; KAUST",

year = "2016",

month = aug,

day = "11",

doi = "10.1109/SPAWC.2016.7536796",

language = "English (US)",

isbn = "9781509017492",

booktitle = "2016 IEEE 17th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

}

Spatial correlation characterization of a uniform circular array in 3D MIMO systems. / Nadeem, Qurrat-Ul-Ain; Kammoun, Abla; Debbah, Merouane et al.
2016 IEEE 17th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC). Institute of Electrical and Electronics Engineers (IEEE), 2016.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Spatial correlation characterization of a uniform circular array in 3D MIMO systems

AU - Nadeem, Qurrat-Ul-Ain

AU - Kammoun, Abla

AU - Debbah, Merouane

AU - Alouini, Mohamed-Slim

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: 305123, ERC; KAUST

PY - 2016/8/11

Y1 - 2016/8/11

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/621337

UR - http://ieeexplore.ieee.org/document/7536796/

UR - http://www.scopus.com/inward/record.url?scp=84984623362&partnerID=8YFLogxK

U2 - 10.1109/SPAWC.2016.7536796

DO - 10.1109/SPAWC.2016.7536796

M3 - Conference contribution

SN - 9781509017492

BT - 2016 IEEE 17th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

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

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this