Spatial correlation in 3D MIMO channels using fourier coefficients of power spectrums

Handle URI:
http://hdl.handle.net/10754/577137
Title:
Spatial correlation in 3D MIMO channels using fourier coefficients of power spectrums
Authors:
Nadeem, Qurrat-Ul-Ain ( 0000-0001-8423-3482 ) ; Kammoun, Abla ( 0000-0002-0195-3159 ) ; Debbah, Mérouane; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
In this paper, an exact closed-form expression for the Spatial Correlation Function (SCF) is derived for the standardized three-dimensional (3D) multiple-input multiple-output (MIMO) channel. This novel SCF is developed for a uniform linear array of antennas with non-isotropic antenna patterns. The proposed method resorts to the spherical harmonic expansion (SHE) of plane waves and the trigonometric expansion of Legendre and associated Legendre polynomials to obtain a closed-form expression for the SCF for arbitrary angular distributions and antenna patterns. The resulting expression depends on the underlying angular distributions and antenna patterns through the Fourier Series (FS) coefficients of power azimuth and elevation spectrums. The novelty of the proposed method lies in the SCF being valid for any 3D propagation environment. Numerical results validate the proposed analytical expression and study the impact of angular spreads on the correlation. The derived SCF will help evaluate the performance of correlated 3D MIMO channels in the future. © 2015 IEEE.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program; Communication Theory Lab
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2015 IEEE Wireless Communications and Networking Conference (WCNC)
Conference/Event name:
2015 IEEE Wireless Communications and Networking Conference, WCNC 2015
Issue Date:
Mar-2015
DOI:
10.1109/WCNC.2015.7127463
Type:
Conference Paper
Appears in Collections:
Conference Papers; Electrical Engineering Program; Communication Theory Lab; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorNadeem, Qurrat-Ul-Ainen
dc.contributor.authorKammoun, Ablaen
dc.contributor.authorDebbah, Mérouaneen
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2015-09-10T14:19:39Zen
dc.date.available2015-09-10T14:19:39Zen
dc.date.issued2015-03en
dc.identifier.doi10.1109/WCNC.2015.7127463en
dc.identifier.urihttp://hdl.handle.net/10754/577137en
dc.description.abstractIn this paper, an exact closed-form expression for the Spatial Correlation Function (SCF) is derived for the standardized three-dimensional (3D) multiple-input multiple-output (MIMO) channel. This novel SCF is developed for a uniform linear array of antennas with non-isotropic antenna patterns. The proposed method resorts to the spherical harmonic expansion (SHE) of plane waves and the trigonometric expansion of Legendre and associated Legendre polynomials to obtain a closed-form expression for the SCF for arbitrary angular distributions and antenna patterns. The resulting expression depends on the underlying angular distributions and antenna patterns through the Fourier Series (FS) coefficients of power azimuth and elevation spectrums. The novelty of the proposed method lies in the SCF being valid for any 3D propagation environment. Numerical results validate the proposed analytical expression and study the impact of angular spreads on the correlation. The derived SCF will help evaluate the performance of correlated 3D MIMO channels in the future. © 2015 IEEE.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.titleSpatial correlation in 3D MIMO channels using fourier coefficients of power spectrumsen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentCommunication Theory Laben
dc.identifier.journal2015 IEEE Wireless Communications and Networking Conference (WCNC)en
dc.conference.date9 March 2015 through 12 March 2015en
dc.conference.name2015 IEEE Wireless Communications and Networking Conference, WCNC 2015en
dc.contributor.institutionMathematical and Algorithmic Sciences Lab, Huawei France R&D, Paris, France.en
kaust.authorKammoun, Ablaen
kaust.authorAlouini, Mohamed-Slimen
kaust.authorNadeem, Qurrat-Ul-Ainen
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