Differential Index Shift Keying DC Bias Optical OFDM in Turbulent Channels

Fig. 3. Influence of receiving aperture on the bit error rate of the proposed scheme under different turbulence intensities. (a) DISK(2×2); (b) DISK(4×4)

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Fig. 4. Bit error rate of the proposed scheme and SISK system

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Fig. 5. Structure of RBF multiclassification detector for the DISK (4×4) system

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Fig. 6. Relationship between the complexity reduction rate and subcarrier block length L

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Fig. 7. Comparison of error performance between the proposed detector and DML detection algorithm

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Table 1. Mapping of index bits to the permutation of active subcarriers

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Table 1. Mapping of index bits to the permutation of active subcarriers

Index bit	Subcarrier permutation	Index bit	Subcarrier permutation
0000	［1234］	1000	［2 3 1 4］
0001	［1 2 4 3］	1001	［2 3 4 1］
0010	［1 3 2 4］	1010	［2 4 1 3］
0011	［1 3 4 2］	1011	［2 4 3 1］
0100	［1 4 2 3］	1100	［3 1 2 4］
0101	［1 4 3 2］	1101	［3 1 4 2］
0110	［2 1 3 4］	1110	［3 2 1 4］
0111	［2 1 4 3］	1111	［3 2 4 1］

Table 2. Parameters of exponential Weibull atmospheric turbulence channel

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Table 2. Parameters of exponential Weibull atmospheric turbulence channel

Turbulence intensity	$C_{n}^{2} / m^{- 2 / 3}$	$σ_{R}^{2}$	$ο / m m$	$α$	$β$	$ζ$
Weak	$7.2 \times 10^{- 15}$	0.317	25	3.67	1.97	0.73
			60	1.69	8.27	1.00
			80	1.01	19.27	1.03
Moderate	$5.0 \times 10^{- 14}$	2.202	25	5.37	0.81	0.33
			60	3.47	2.20	0.77
			80	2.52	4.06	0.92
Strong	$3.6 \times 10^{- 13}$	15.851	25	5.50	0.74	0.29
			60	4.80	1.08	0.48
			80	4.39	1.34	0.58

Table 3. Transmission rate and spectral efficiency of the proposed scheme and SISK system
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Table 3. Transmission rate and spectral efficiency of the proposed scheme and SISK system
Scheme Transmission rate /bpcu Spectral efficiency /（bit·s^-1·Hz^-1）
SISK $N ⌊l o g_{2} C_{L}^{k}⌋ / 2 L$ $⌊l o g_{2} C_{L}^{k}⌋ / 2 L$
DISK $N ⌊l o g_{2} (L!)⌋ / 2 L^{2}$ $⌊l o g_{2} (L!)⌋ / 2 L^{2}$

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Huiqin Wang, Zhen Wang, Dan Chen, Minghua Cao, Zhongxian Bao. Differential Index Shift Keying DC Bias Optical OFDM in Turbulent Channels[J]. Acta Optica Sinica, 2023, 43(18): 1801004

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