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 proceedingConference contribution

7 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 languageEnglish (US)
Title of host publication2016 IEEE 17th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)9781509017492
DOIs
StatePublished - Aug 11 2016

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