Random-blockage model and adaptive feedback strategy of CSI for an indoor VLC network

Guiyu Gong; Chaoqin Gan; Yong Fang; Yifan Zhu; Qiuyue Hu

doi:10.1364/JOCN.472732

Journal of Optical Communications and Networking
Vol. 15,
Issue 4,
pp. 197-208
(2023)
•https://doi.org/10.1364/JOCN.472732

Random-blockage model and adaptive feedback strategy of CSI for an indoor VLC network

Guiyu Gong, Chaoqin Gan, Yong Fang, Yifan Zhu, and Qiuyue Hu

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Guiyu Gong, Chaoqin Gan, Yong Fang, Yifan Zhu, and Qiuyue Hu, "Random-blockage model and adaptive feedback strategy of CSI for an indoor VLC network," J. Opt. Commun. Netw. 15, 197-208 (2023)

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Abstract

This paper investigates the feedback period of channel state information (CSI) considering random blockage for an indoor visible light communication (VLC) network. First, a random-blockage model (RBM) for the indoor VLC network was built. Through the RBM, a closed expression for the dynamic blockage and self-blockage probability were obtained. Based on the statistical method and RBM, a coherence distance model (CDM) under random blockage was established. Through the CDM, the weighted coherence distance of channel gain for user equipment at any position can be obtained under a specific distribution density of blockers. Based on the CDM, an adaptive feedback strategy for CSI was proposed, thus realizing the timely feedback of CSI under random blockage. Finally, the effectiveness of the above RBM and CDM was verified via simulation. The value obtained by Monte Carlo simulation is consistent with the theoretical value obtained by the RBM. Compared with the fixed-period feedback strategy, the adaptive feedback strategy was able to achieve compromise between improving channel reliability and reducing feedback overhead. The average interrupted time ratio and the average mean square error between the recovered channel gain and the actual channel gain were significantly reduced.

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Parameter	Value	Parameter	Value	Parameter	Value
$h_{T}$	2.5 m	$h_{R}$	0.5 m	$h_{B}^{min}$	1.2 m
$d_{ub}$	0.3 m	$h_{B}^{max}$	2.0 m	$δ$	0.1 m
$r_{B}^{max}$	0.2 m	$r_{B}^{min}$	0.1 m	$λ_{b}$	$0.1 - 1.1 / m^{2}$

Number	Impact Factor	Value
1	Direction between a UE and an AP	Toward AP ( $α \in [0, π - \sin^{- 1} (\frac{r_{B}^{max}}{d_{ub}})])$
		Away from AP $(α \in (π - \sin^{- 1} (\frac{r_{B}^{max}}{d_{ub}}), π])$
2	Distance between a UE and an AP	Close distance $(d_{T} \in [0, \frac{d_{T}^{max}}{3}))$
		Medium distance $(d_{T} [\frac{d_{T}^{max}}{3}, \frac{2 d_{T}^{max}}{3}])$
		Far distance $(d_{T} \in (\frac{2 d_{T}^{max}}{3}, d_{T}^{max}])$
3	Distribution density of mobile blockers	Low density ( $λ_{b} \in [0.0 / m^{2}, 0.2 / m^{2}]$ )
		Medium density ( $λ_{b} \in (0.2 / m^{2}, 0.4 / m^{2}]$ )
		High density ( $λ_{b} \in (0.4 / m^{2}, 1.0 / m^{2}]$ )

Parameter	Value
Receiver FOV angle, $Ψ_{c}$	90°
Half-intensity angle, $ϕ_{1 / 2}$	60°
Refractive index, $ζ$	1.5
Effective receiving area of the receiver, $A$	$1 {c m}^{2}$
Gain of optical filter, $g_{f}$	1.0
Optical-to-electrical conversion efficiency, $κ$	0.53
Noise power spectral density, $N$	1e-19 W/Hz
Average transmitted optical power, $P$	30 W
Baseband modulation bandwidth, $B$	20 MHZ

Impact Factor	Direction between a UE and an AP		Distance between a UE and an AP
Value	Toward AP	Away from AP	Close Distance	Medium Distance	Far Distance
$λ_{b} = 0.0 / m^{2}$	9.01 cm	7.08 cm	6.83 cm	8.17 cm	9.38 cm
$λ_{b} = 0.1 / m^{2}$	8.55 cm	6.67 cm	6.81 cm	7.73 cm	8.84 cm
$λ_{b} = 0.2 / m^{2}$	8.10 cm	6.61 cm	6.71 cm	7.43 cm	8.33 cm
$λ_{b} = 0.3 / m^{2}$	7.59 cm	6.49 cm	6.55 cm	7.18 cm	7.74 cm
$λ_{b} = 0.4 / m^{2}$	7.06 cm	6.38 cm	6.44 cm	6.73 cm	7.19 cm
$λ_{b} = 0.5 / m^{2}$	6.92 cm	6.12 cm	6.41 cm	6.64 cm	6.94 cm

	Impact Factors
$λ_{b} (/ m^{2})$	Direction between a UE and an AP	Distance between a UE and an AP
0.0–0.2	0.6	0.4
0.2–0.4	0.4	0.6
0.4–1.0	0.3	0.7

Strategies	Average MSE	Average $R a t i o_{i n t e r}$	Average $N_{f e e d b a c k}$
Adaptive feedback strategy	Good	Good	Good
Fixed feedback strategy ( $T_{f e e d b a c k} = 150 m s$ )	Bad	Bad	Good
Fixed feedback strategy ( $T_{f e e d b a c k} = 100 m s$ )	Bad	Bad	Good
Fixed feedback strategy ( $T_{f e e d b a c k} = 50 m s$ )	Good	Good	Bad

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Journal of Optical Communications and Networking