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 -