3D spatial fading correlation for uniform angle of arrival distribution

Yibeltal F. Alem; Zubair Khalid; Rodney A. Kennedy

doi:10.1109/LCOMM.2015.2414414

3D spatial fading correlation for uniform angle of arrival distribution

Yibeltal F. Alem, Zubair Khalid, Rodney A. Kennedy

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

We derive a closed-form expression for the spatial fading correlation (SFC) between two arbitrary points in 3D-space for the uniform limited azimuth-elevation angle of arrival probability density function (pdf). This expression simplifies the computation of the SFC, can be used in any 3D antenna array geometry, and avoids the need to generate separate expressions for specific antenna array geometries. We corroborate the accuracy of the closed-form expression through application to 2D and 3D antenna array geometries. We expect the results presented in this letter to be of significant importance for performance evaluation and sensitivity analysis in multi-input multi-output (MIMO) systems.

Original language	English
Article number	7063242
Pages (from-to)	1073-1076
Number of pages	4
Journal	IEEE Communications Letters
Volume	19
Issue number	6
DOIs	https://doi.org/10.1109/LCOMM.2015.2414414
Publication status	Published - 1 Jun 2015

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title = "3D spatial fading correlation for uniform angle of arrival distribution",

abstract = "We derive a closed-form expression for the spatial fading correlation (SFC) between two arbitrary points in 3D-space for the uniform limited azimuth-elevation angle of arrival probability density function (pdf). This expression simplifies the computation of the SFC, can be used in any 3D antenna array geometry, and avoids the need to generate separate expressions for specific antenna array geometries. We corroborate the accuracy of the closed-form expression through application to 2D and 3D antenna array geometries. We expect the results presented in this letter to be of significant importance for performance evaluation and sensitivity analysis in multi-input multi-output (MIMO) systems.",

keywords = "MIMO, Spatial correlation, Spherical harmonics, antenna arrays, uniform distribution",

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T1 - 3D spatial fading correlation for uniform angle of arrival distribution

AU - Alem, Yibeltal F.

AU - Khalid, Zubair

AU - Kennedy, Rodney A.

PY - 2015/6/1

Y1 - 2015/6/1

N2 - We derive a closed-form expression for the spatial fading correlation (SFC) between two arbitrary points in 3D-space for the uniform limited azimuth-elevation angle of arrival probability density function (pdf). This expression simplifies the computation of the SFC, can be used in any 3D antenna array geometry, and avoids the need to generate separate expressions for specific antenna array geometries. We corroborate the accuracy of the closed-form expression through application to 2D and 3D antenna array geometries. We expect the results presented in this letter to be of significant importance for performance evaluation and sensitivity analysis in multi-input multi-output (MIMO) systems.

AB - We derive a closed-form expression for the spatial fading correlation (SFC) between two arbitrary points in 3D-space for the uniform limited azimuth-elevation angle of arrival probability density function (pdf). This expression simplifies the computation of the SFC, can be used in any 3D antenna array geometry, and avoids the need to generate separate expressions for specific antenna array geometries. We corroborate the accuracy of the closed-form expression through application to 2D and 3D antenna array geometries. We expect the results presented in this letter to be of significant importance for performance evaluation and sensitivity analysis in multi-input multi-output (MIMO) systems.

KW - MIMO

KW - Spatial correlation

KW - Spherical harmonics

KW - antenna arrays

KW - uniform distribution

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DO - 10.1109/LCOMM.2015.2414414

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SP - 1073

EP - 1076

JO - IEEE Communications Letters

JF - IEEE Communications Letters

IS - 6

M1 - 7063242

ER -

3D spatial fading correlation for uniform angle of arrival distribution

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