Hybrid Multi-Dimensional CAP-MPPM Modulation Scheme for VLC Systems

Fig. 12. Comparison of SER performance between CAP-MPPM and MPPM. (a) ND CAP-MPPM(16, 2, L) and MPPM(16, 4); (b) ND CAP-MPPM(18, 2, L) and MPPM(18, 8)

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Fig. 13. Comparison of SER performance for CAP-MPPM schemes with different settings. (a) Different n; (b) different L

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Fig. 14. Comparison of SER performance for CAP-MPPM schemes with different dimensions. (a) 2D CAP-MPPM and 3D CAP-MPPM; (b) 2D CAP-MPPM and 4D CAP-MPPM

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Table 1. Minimum Euclidean distance for CAP constellation mapping
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Table 1. Minimum Euclidean distance for CAP constellation mapping
Parameter Minimum Euclidean distance
2D 4CAP 2/ $\begin{matrix} \sqrt[]{2} \end{matrix}$
2D 8CAP 2/ $\begin{matrix} \sqrt[]{6} \end{matrix}$
2D 16CAP 2/ $\begin{matrix} \sqrt[]{10} \end{matrix}$
2D 64CAP 2/ $\begin{matrix} \sqrt[]{42} \end{matrix}$
2D 256CAP 2/ $\begin{matrix} \sqrt[]{170} \end{matrix}$
3D 8CAP 2/ $\begin{matrix} \sqrt[]{3} \end{matrix}$
3D 64CAP 2/ $\begin{matrix} \sqrt[]{15} \end{matrix}$
4D 16CAP 1
4D 256CAP 2/ $\begin{matrix} \sqrt[]{20} \end{matrix}$

Table 2. Running time of different modulation schemes

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Table 2. Running time of different modulation schemes

Modulation scheme	Running time /s
Modulation scheme	(4,2,16)	(4,3,16)	(16,2,16)	(4,2,64)
2D LCAP	0.8884	0.8884	0.8884	2.3207
3D LCAP				2.1735
4D LCAP	0.5431	0.5431	0.5431
MPPM(n, p)	0.0414	0.0535	0.0237	0.0414
2D CAP-MPPM(n, p, L)	0.5563	0.8486	0.1768	1.2803
3D CAP-MPPM(n, p, L)				1.0862
4D CAP-MPPM(n, p, L)	0.3651	0.5741	0.1259

Table 3. System parameters

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Table 3. System parameters

Parameter	Value
Room size	8 m×6 m×3 m
Location of LED lamp	(0, 0, 3)
Physical area of PD A_r	1 cm²
Gain of optical band-pass filter T_s(ψ)	1
Optical gain of concentrator g(ψ)	3
Receiver height h_PD	0.95 m
Receiver's field of view ψ_FOV	60°
Transmitter's semi-angle at half power ψ_1/2	70°

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Wang Xudong, Liu Ying, Wu Nan, Lin Bin. Hybrid Multi-Dimensional CAP-MPPM Modulation Scheme for VLC Systems[J]. Chinese Journal of Lasers, 2020, 47(6): 606004

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