TY - GEN
T1 - Spatial correlation in 3D MIMO channels using fourier coefficients of power spectrums
AU - Nadeem, Qurrat Ul Ain
AU - Kammoun, Abla
AU - Debbah, Mérouane
AU - Alouini, Mohamed Slim
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015/6/17
Y1 - 2015/6/17
N2 - 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.
AB - 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.
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U2 - 10.1109/WCNC.2015.7127463
DO - 10.1109/WCNC.2015.7127463
M3 - Conference contribution
AN - SCOPUS:84938702913
T3 - 2015 IEEE Wireless Communications and Networking Conference, WCNC 2015
SP - 165
EP - 170
BT - 2015 IEEE Wireless Communications and Networking Conference, WCNC 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2015 IEEE Wireless Communications and Networking Conference, WCNC 2015
Y2 - 9 March 2015 through 12 March 2015
ER -