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. © 2016 IEEE.

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.

Acknowledgements
305123, ERC; KAUST

Publisher
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

DOI
10.1109/SPAWC.2016.7536796

Additional Links
https://hal-centralesupelec.archives-ouvertes.fr/hal-01789307/file/sifaoui.pdf

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