Fully Generalized Space Modulation Visible Light Communications System Based on Pearson Correlation Coefficient Selection

Fig. 7. Eye map of system signal obtained by using different antenna selection algorithms at a signal-to-noise ratio of 10 dB.(a) Eye map of sending symbolic signals; (b) eye map of receiving signals based on random antenna selection algorithm; (c) eye map of receiving signals based on norm antenna selection algorithm; (d) eye map of receiving signals based on Pearson correlation coefficient antenna selection algorithm

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Fig. 8. Actual experimental platform

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Table 1. FGSM-MIMO mapping based on antenna selection

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Table 1. FGSM-MIMO mapping based on antenna selection

Input bit	Antenna index symbol	PAM maps modulation symbol	Mapped output symbol
（0000）	${[1111]}^{T}$	2/3	${[1 / 3, 1 / 3, 1 / 3, 1 / 3]}^{T}$
（0001）	${[1111]}^{T}$	4/3	${[2 / 3, 2 / 3, 2 / 3, 2 / 3]}^{T}$
（0010）	${[1110]}^{T}$	2/3	${[2 \sqrt[]{3} / 9, 2 \sqrt[]{3} / 9, 2 \sqrt[]{3} / 9, 0]}^{T}$
（0011）	${[1110]}^{T}$	4/3	${[4 \sqrt[]{3} / 9, 4 \sqrt[]{3} / 9, 4 \sqrt[]{3} / 9, 0]}^{T}$
（0100）	${[0111]}^{T}$	2/3	${[0, 2 \sqrt[]{3} / 9, 2 \sqrt[]{3} / 9, 2 \sqrt[]{3} / 9]}^{T}$
（0101）	${[0111]}^{T}$	4/3	${[0, 4 \sqrt[]{3} / 9, 4 \sqrt[]{3} / 9, 4 \sqrt[]{3} / 9]}^{T}$
（0110）	${[1101]}^{T}$	2/3	${[2 \sqrt[]{3} / 9, 2 \sqrt[]{3} / 9, 0, 2 \sqrt[]{3} / 9]}^{T}$
（0111）	${[1101]}^{T}$	4/3	${[4 \sqrt[]{3} / 9, 4 \sqrt[]{3} / 9, 0, 4 \sqrt[]{3} / 9]}^{T}$
（1000）	${[0011]}^{T}$	2/3	${[0,0, \sqrt[]{2} / 3, \sqrt[]{2} / 3]}^{T}$
（1001）	${[0011]}^{T}$	4/3	${[0,0, 2 \sqrt[]{2} / 3, 2 \sqrt[]{2} / 3]}^{T}$
（1010）	${[0101]}^{T}$	2/3	${[0, \sqrt[]{2} / 3, 0, \sqrt[]{2} / 3]}^{T}$
（1011）	${[0101]}^{T}$	4/3	${[0, 2 \sqrt[]{2} / 3,, 0, 2 \sqrt[]{2} / 3,]}^{T}$
（1100）	${[1100]}^{T}$	2/3	${[\sqrt[]{2} / 3, \sqrt[]{2} / 3, 0,0]}^{T}$
（1101）	${[1100]}^{T}$	4/3	${[2 \sqrt[]{2} / 3, 2 \sqrt[]{2} / 3,, 0,0]}^{T}$
（1110）	${[1001]}^{T}$	2/3	${[\sqrt[]{2} / 3, 0,0, \sqrt[]{2} / 3]}^{T}$
（1111）	${[1001]}^{T}$	4/3	${[2 \sqrt[]{2} / 3, 0,0, 2 \sqrt[]{2} / 3]}^{T}$

Table 2. Simulation parameters
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Table 2. Simulation parameters
System variable information Value
Number of transmitting antenna 4
Number of receiving antenna 4
Number of active antenna 1，2，3，4
Modulation mode 2-PAM
Transmitted bit /bit 4
Data length $10^{8}$

Table 3. Transmission rate and spectral efficiency of GSM-MIMO and FGSM-MIMO schemes under different modulation modes

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Table 3. Transmission rate and spectral efficiency of GSM-MIMO and FGSM-MIMO schemes under different modulation modes

Modulation mode	Transmission rate /（ $b i t \cdot s^{- 1}$ ）	Spectral efficiency /（ $b i t \cdot s^{- 1} \cdot H z^{- 1}$ ）
GSM-BPSK	$⌊l b C_{N_{t}}^{N_{u}}⌋ + 1$	$⌊l b C_{N_{t}}^{N_{u}}⌋ + 1$
GSM-4-PAM	$⌊l b C_{N_{t}}^{N_{u}}⌋ + 2$	$2 (⌊l b C_{N_{t}}^{N_{u}}⌋ + 2)$
GSM-QPSK	$⌊l b C_{N_{t}}^{N_{u}}⌋ + 2$	$2 (⌊l b C_{N_{t}}^{N_{u}}⌋ + 2)$
FGSM-2-PAM	$N_{t}$	$N_{t}$
FGSM-4-PAM	$N_{t} + 1$	$2 (N_{t} + 1)$
FGSM-8-PAM	$N_{t} + 2$	$3 (N_{t} + 2)$

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Li Zhao, Xiaogang Wang, Ning Wang, Hao Wang. Fully Generalized Space Modulation Visible Light Communications System Based on Pearson Correlation Coefficient Selection[J]. Acta Optica Sinica, 2024, 44(4): 0406001

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