Terahertz MIMO communication performance analysis in exponentiated Weibull turbulence with pointing errors

Lei Cang; Lei Cang; Heng-Kai Zhao; Heng-Kai Zhao; Hong Liu; Hong Liu; Wen-Li Ji; Yong-Bing Wan; Kai Zhang; Kai Zhang; Guo-Xin Zheng; Guo-Xin Zheng

doi:10.1364/AO.427338

Applied Optics
Vol. 60,
Issue 24,
pp. 7314-7325
(2021)
•https://doi.org/10.1364/AO.427338

Terahertz MIMO communication performance analysis in exponentiated Weibull turbulence with pointing errors

Lei Cang, Heng-Kai Zhao, Hong Liu, Wen-Li Ji, Yong-Bing Wan, Kai Zhang, and Guo-Xin Zheng

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Lei Cang, Heng-Kai Zhao, Hong Liu, Wen-Li Ji, Yong-Bing Wan, Kai Zhang, and Guo-Xin Zheng, "Terahertz MIMO communication performance analysis in exponentiated Weibull turbulence with pointing errors," Appl. Opt. 60, 7314-7325 (2021)

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Abstract

With the rapid growth in demand for high-speed wireless communication, terahertz (THz) has become one of the most promising techniques. Both atmospheric turbulence and pointing errors are important factors in degrading the performance of THz propagation. We study the performance of a multiple-input/multiple-output (MIMO) system in the THz band under the combined influences noted above. Especially, we take the impact on amplitude and phase caused by turbulence into consideration. We adopt the Padé approximation to analyze the probability density function of the channel coefficient in equal gain combining and derive the bit error rate by the Meijer-G function. The curve-fitting results of theoretical analysis are in good agreement with the actual measurements in the THz band. Therefore, it can be deduced that the exponentiated Weibull model can also be applied in the THz band. Then, we verify the theoretical results by Monte Carlo simulation. We find that turbulence is a more significant cause, which deteriorates communication performance in a larger scale of the MIMO system.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Symbol	Parameter	Value
$M \times N$	Scale of MIMO system	$1 \times 1$ , $1 \times 2$ , $1 \times 3$ , $2 \times 1$ , $2 \times 2$ , $3 \times 1$
$f$	Frequency	0.31 THz
$L$	Distance	200 m
$C_{n}^{2}$	Refractive index structural constant	$3.5 \times 10^{- 11} m^{- 2 / 3}$
$D$	Receiving aperture diameter	300 mm
$α$	EW turbulence shape parameter	2.17
$β$	EW turbulence shape parameter	5.19
$η$	EW turbulence scale parameter	0.955
$θ$	Divergence angle	0.5 mrad
$θ s$	Jitter angle	0.6 mrad
$A_{0}$	Pointing error parameter	0.984
$ε$	Pointing error parameter	1.67

Symbol	Parameter	Value
$M \times N$	Scale of MIMO system	$1 \times 2$
$f$	Frequency	0.28 THz, 0.31 THz, 0.33 THz, 0.44 THz
$L$	Distance	200 m
$C_{n}^{2}$	Refractive index structural constant	$3.5 \times 10^{- 11} m^{- 2 / 3}$
$D$	Receiving aperture diameter	300 mm
$α$	EW turbulence shape parameter	2.07, 2.17, 2.23, 2.53
$β$	EW turbulence shape parameter	5.64, 5.19, 4.93, 3.90
$η$	EW turbulence scale parameter	0.965, 0.955, 0.947, 0.912
$θ$	Divergence angle	0.5 mrad
$θ s$	Jitter angle	0.6 mrad
$A_{0}$	Pointing error parameter	0.984
$ε$	Pointing error parameter	1.67

Symbol	Parameter	Value
$M \times N$	Scale of MIMO system	$1 \times 2$
$f$	Frequency	0.31 THz
$L$	Distance	200 m
$C_{n}^{2}$	Refractive index structural constant	$3.5 \times 10^{- 11} m^{- 2 / 3}$
$D$	Receiving aperture diameter	300 mm
$α$	EW turbulence shape parameter	2.17
$β$	EW turbulence shape parameter	5.19
$η$	EW turbulence scale parameter	0.955
$θ$	Divergence angle	0.5 mrad
$θ s$	Jitter angle	0.2 mrad, 0.6 mrad, 1.0 mrad
$A_{0}$	Pointing error parameter	0.984
$ε$	Pointing error parameter	5.01, 1.67, 1.00

Symbol	Parameter	Value
$M \times N$	Scale of MIMO system	$1 \times 2$
$f$	Frequency	0.31 THz
$L$	Distance	200 m
$C_{n}^{2}$	Refractive index structural constant	$3.5 \times 10^{- 11} m^{- 2 / 3}$
$D$	Receiving aperture diameter	300 mm
$α$	EW turbulence shape parameter	2.17
$β$	EW turbulence shape parameter	5.19
$η$	EW turbulence scale parameter	0.955
$θ$	Divergence angle	0.5 mrad
$θ s$	Jitter angle	0.6 mrad
$A_{0}$	Pointing error parameter	0.984
$ε$	Pointing error parameter	1.67

Symbol	Parameter	Value
$M \times N$	Scale of MIMO system	$1 \times 1$ , $1 \times 2$ , $1 \times 3$ , $2 \times 1$ , $2 \times 2$ , $3 \times 1$
$f$	Frequency	0.31 THz
$L$	Distance	200 m
$C_{n}^{2}$	Refractive index structural constant	$3.5 \times 10^{- 11} m^{- 2 / 3}$
$D$	Receiving aperture diameter	300 mm
$α$	EW turbulence shape parameter	2.17
$β$	EW turbulence shape parameter	5.19
$η$	EW turbulence scale parameter	0.955
$θ$	Divergence angle	0.5 mrad
$θ s$	Jitter angle	0.6 mrad
$A_{0}$	Pointing error parameter	0.984
$ε$	Pointing error parameter	1.67

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Equations (43)

Applied Optics