Secrecy performance analysis for a NOMA based FSO-RF system with imperfect CSI

Yongzhi Zhuang; Jiliang Zhang

doi:10.1364/JOCN.454367

Journal of Optical Communications and Networking
Vol. 14,
Issue 7,
pp. 500-510
(2022)
•https://doi.org/10.1364/JOCN.454367

Secrecy performance analysis for a NOMA based FSO-RF system with imperfect CSI

Yongzhi Zhuang and Jiliang Zhang

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Yongzhi Zhuang and Jiliang Zhang, "Secrecy performance analysis for a NOMA based FSO-RF system with imperfect CSI," J. Opt. Commun. Netw. 14, 500-510 (2022)

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Abstract

In this paper, we consider a non-orthogonal multiple access (NOMA) based mixed free space optical–radio frequency (FSO-RF) system with imperfect channel state information (CSI) and evaluate the secrecy performance in terms of secrecy outage probability (SOP). Specifically, a source (${{S}}$) first forwards an optical NOMA signal to a relay (${{R}}$) via an FSO link, and then ${{R}}$ performs an optical–electrical conversion and broadcasts the converted signal to users over the RF links. Both the FSO and RF links are incorporated with the NOMA technique, and the CSI imperfection in both links is considered. Assuming both users have multiple antennas, and adopting the maximal ratio combining diversity schemes, we derive the analytical and asymptotic expressions for SOP when the FSO link undergoes gamma–gamma fading with pointing error and the RF links are subject to Rayleigh fading. In addition, both decode-and-forward and amplify-and-forward protocols are taken into account and compared. Monte Carlo simulations are also used to verify the accuracy of the derived results.

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Ref.	Multi-Antenna	Imperfect CSI	NOMA	PLS	Metrics	Relay
[6]	No	No	No	No	OP BER EC	DF AF
[11]	No	No	Yes	No	OP EC	AF
[12]	No	No	Yes	No	OP throughput	DF
[13]	No	No	Yes	No	OP	AF
[15]	Yes	No	No	Yes	SOP	AF
[16]	No	No	No	Yes	SOP SPSC	DF
[17]	No	No	No	Yes	Secrecy throughput SOP	DF
[23]	Yes	FSO RF	No	Yes	SOP	AF
[24]	Yes	FSO RF	No	Yes	Secrecy throughput	DF

Parameter	Symbol	Values
Wavelength	$λ$	1550 nm
Refractive index	$C_{n}^{2}$	$1.7 \times 10^{- 14}$
Diameter of the receiver aperture	$D$	20 cm
Link length	$L$	3, 4, and 6 km
Log irradiance variance	$σ^{2}$	1.03, 1.75, and 3.67

Atmospheric Turbulence	Parameter Values
Weak turbulence	$L = 3 k m, σ^{2} = 1.03, α = 2.902, β = 2.510$
Moderate turbulence	$L = 4 k m, σ^{2} = 1.75, α = 2.296, β = 1.822$
Strong turbulence	$L = 6 k m, σ^{2} = 3.67, α = 2.064, β = 1.342$

	$ρ_{SR}$	$ρ_{U}$	$ρ_{RE}$	$N_{U}$	$N_{E}$	$(α, β)$	$ξ$	$r$	$a_{1}$	${\bar{γ}}_{SR}$	${\bar{γ}}_{R U_{1}}$	${\bar{γ}}_{R U_{2}}$	${\bar{γ}}_{RE}$	$C_{U_{1}}^{s, t h}$	$C_{U_{2}}^{s, t h}$
Fig. 2	0.7	0.7	0.7	2	2	–	1.1	2	0.9	–	15 dB	20 dB	−4 dB	0.01 bit/s/Hz	0.04 bit/s/Hz
Fig. 3	0.7	0.7	0.7	2	2	(2.296,1.822)	–	–	0.9	–	15 dB	20 dB	−4 dB	0.01 bit/s/Hz	0.04 bit/s/Hz
Fig. 4	–	0.7	0.7	2	2	(2.296,1.822)	1.1	2	0.9	–	15 dB	20 dB	−4 dB	0.01 bit/s/Hz	0.04 bit/s/Hz
Fig. 5	–	0.7	–	4	4	(2.296,1.822)	6.7	2	–	25 dB	10 dB	12 dB	−8 dB	0.6 bit/s/Hz	0.2 bit/s/Hz
Fig. 6	0.7	0.7	0.7	–	–	(2.296,1.822)	6.7	2	0.9	25 dB	20 dB	–	−4 dB	0.1 bit/s/Hz	0.08 bit/s/Hz
Fig. 7	0.7	–	0.7	4	4	(2.296,1.822)	6.7	2	0.94	30 dB	15 dB	–	−2 dB	0.1 bit/s/Hz	0.08 bit/s/Hz

Ref.	Multi-Antenna	Imperfect CSI	NOMA	PLS	Metrics	Relay
[6]	No	No	No	No	OP BER EC	DF AF
[11]	No	No	Yes	No	OP EC	AF
[12]	No	No	Yes	No	OP throughput	DF
[13]	No	No	Yes	No	OP	AF
[15]	Yes	No	No	Yes	SOP	AF
[16]	No	No	No	Yes	SOP SPSC	DF
[17]	No	No	No	Yes	Secrecy throughput SOP	DF
[23]	Yes	FSO RF	No	Yes	SOP	AF
[24]	Yes	FSO RF	No	Yes	Secrecy throughput	DF

Abstract

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Equations (54)

Journal of Optical Communications and Networking