Spatial Correlation Characterization of a Uniform Circular Array in 3D MIMO Systems

Qurrat-Ul-Ain Nadeem1, Abla Kammoun1, Merouane Debbah2, Mohamed-Slim Alouini3

  • 1King Abdullah University of Science and Technology
  • 2Laneas, Centrale Supelec
  • 3King Abdullah University of Science and Technology (KAUST)



Technical Session: Poster


Signal Processing for Wireless Communications


15:15 - 16:45 | Wed 6 Jul | Pentland B | R12

Interference analysis in multiuser MIMO systems and hardware related issues


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.

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