Enhanced Optical Spatial Modulation in Wireless Optical Communication

Fig. 3. Computational complexity, spectral efficiency, and BER curves of different systems when transmission rate is 6 bit·s^-1, N_t=4, and N_r=4. (a) Computational complexity and spectral efficiency of different systems; (b) BER curves of different systems

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Fig. 4. Computational complexity, spectral efficiency, and BER curves of different systems when transmission rate is 6 bit·s^-1, L=4, and N_r=4. (a) Computational complexity and spectral efficiency of different systems; (b) BER curves of different systems

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Fig. 5. BER curves of EOSM system with differentparameters

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Table 1. Codeword table of EOSM system

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Table 1. Codeword table of EOSM system

Source bit	Transmitter index	4-PPM signal
000000	x_s1=[1,0,0,0]^T	x_m1=[A_m,0,0,0]
000001	x_s1=[1,0,0,0]^T	x_m1=[0,A_m,0,0]
000010	x_s1=[1,0,0,0]^T	x_m1=[0,0,A_m,0]
000011	x_s1=[1,0,0,0]^T	x_m1=[0,0,0,A_m]
000100	x_s1=[0,1,0,0]^T	x_m1=[A_m,0,0,0]
000101	x_s1=[0,1,0,0]^T	x_m1=[0,A_m,0,0]
000110	x_s1=[0,1,0,0]^T	x_m1=[0,0,A_m,0]
000111	x_s1=[0,1,0,0]^T	x_m1=[0,0,0,A_m]
001000	x_s1=[0,0,1,0]^T	x_m1=[A_m,0,0,0]
001001	x_s1=[0,0,1,0]^T	x_m1=[0,A_m,0,0]
001010	x_s1=[0,0,1,0]^T	x_m1=[0,0,A_m,0]
001011	x_s1=[0,0,1,0]^T	x_m1=[0,0,0,A_m]
001100	x_s1=[0,0,0,1]^T	x_m1=[A_m,0,0,0]
001101	x_s1=[0,0,0,1]^T	x_m1=[0,A_m,0,0]
001110	x_s1=[0,0,0,1]^T	x_m1=[0,0,A_m,0]
001111	x_s1=[0,0,0,1]^T	x_m1=[0,0,0,A_m]
010000	$\begin{matrix} x_{s 2_{1}} \end{matrix}$ =[1,0,0,0]^T, $\begin{matrix} x_{s 2_{2}} \end{matrix}$ =[0,1,0,0]^T	$\begin{matrix} x_{m 2_{1}} \end{matrix}$ =[A_m,0,0,0], $\begin{matrix} x_{m 2_{2}} \end{matrix}$ =[A_m,0,0,0]
010001	$\begin{matrix} x_{s 2_{1}} \end{matrix}$ =[1,0,0,0]^T, $\begin{matrix} x_{s 2_{2}} \end{matrix}$ =[0,1,0,0]^T	$\begin{matrix} x_{m 2_{1}} \end{matrix}$ =[A_m,0,0,0], $\begin{matrix} x_{m 2_{2}} \end{matrix}$ =[0,A_m,0,0]
010010	$\begin{matrix} x_{s 2_{1}} \end{matrix}$ =[1,0,0,0]^T, $\begin{matrix} x_{s 2_{2}} \end{matrix}$ =[0,1,0,0]^T	$\begin{matrix} x_{m 2_{1}} \end{matrix}$ =[0,A_m,0,0], $\begin{matrix} x_{m 2_{2}} \end{matrix}$ =[A_m,0,0,0]
010011	$\begin{matrix} x_{s 2_{1}} \end{matrix}$ =[1,0,0,0]^T, $\begin{matrix} x_{s 2_{2}} \end{matrix}$ =[0,1,0,0]^T	$\begin{matrix} x_{m 2_{1}} \end{matrix}$ =[0,A_m,0,0], $\begin{matrix} x_{m 2_{2}} \end{matrix}$ =[0,A_m,0,0]
010100	$\begin{matrix} x_{s 2_{1}} \end{matrix}$ =[1,0,0,0]^T, $\begin{matrix} x_{s 2_{2}} \end{matrix}$ =[0,0,1,0]^T	$\begin{matrix} x_{m 2_{1}} \end{matrix}$ =[A_m,0,0,0], $\begin{matrix} x_{m 2_{2}} \end{matrix}$ =[A_m,0,0,0]
010101	$\begin{matrix} x_{s 2_{1}} \end{matrix}$ =[1,0,0,0]^T, $\begin{matrix} x_{s 2_{2}} \end{matrix}$ =[0,0,1,0]^T	$\begin{matrix} x_{m 2_{1}} \end{matrix}$ =[A_m,0,0,0], $\begin{matrix} x_{m 2_{2}} \end{matrix}$ =[0,A_m,0,0]
010110	$\begin{matrix} x_{s 2_{1}} \end{matrix}$ =[1,0,0,0]^T, $\begin{matrix} x_{s 2_{2}} \end{matrix}$ =[0,0,1,0]^T	$\begin{matrix} x_{m 2_{1}} \end{matrix}$ =[0,A_m,0,0], $\begin{matrix} x_{m 2_{2}} \end{matrix}$ =[A_m,0,0,0]
…	…	…
100111	$\begin{matrix} x_{s 2_{1}} \end{matrix}$ =[0,0,1,0]^T, $\begin{matrix} x_{s 2_{2}} \end{matrix}$ =[0,0,0,1]^T	$\begin{matrix} x_{m 2_{1}} \end{matrix}$ =[0,A_m,0,0], $\begin{matrix} x_{m 2_{2}} \end{matrix}$ =[0,A_m,0,0]
101000	$\begin{matrix} x_{s 3_{1}} \end{matrix}$ =[1,0,0,0]^T, $\begin{matrix} x_{s 3_{2}} \end{matrix}$ =[0,1,0,0]^T	$\begin{matrix} x_{m 3_{1}} \end{matrix}$ =[0,0,A_m,0], $\begin{matrix} x_{m 3_{2}} \end{matrix}$ =[0,0,A_m,0]
101001	$\begin{matrix} x_{s 3_{1}} \end{matrix}$ =[1,0,0,0]^T, $\begin{matrix} x_{s 3_{2}} \end{matrix}$ =[0,1,0,0]^T	$\begin{matrix} x_{m 3_{1}} \end{matrix}$ =[0,0,A_m,0], $\begin{matrix} x_{m 3_{2}} \end{matrix}$ =[0,0,0,A_m]
101010	$\begin{matrix} x_{s 3_{1}} \end{matrix}$ =[1,0,0,0]^T, $\begin{matrix} x_{s 3_{2}} \end{matrix}$ =[0,1,0,0]^T	$\begin{matrix} x_{m 3_{1}} \end{matrix}$ =[0,0,0,A_m], $\begin{matrix} x_{m 3_{2}} \end{matrix}$ =[0,0,A_m,0]
101011	$\begin{matrix} x_{s 3_{1}} \end{matrix}$ =[1,0,0,0]^T, $\begin{matrix} x_{s 3_{2}} \end{matrix}$ =[0,1,0,0]^T	$\begin{matrix} x_{m 3_{1}} \end{matrix}$ =[0,0,0,A_m], $\begin{matrix} x_{m 3_{2}} \end{matrix}$ =[0,0,0,A_m]
101100	$\begin{matrix} x_{s 3_{1}} \end{matrix}$ =[1,0,0,0]^T, $\begin{matrix} x_{s 3_{2}} \end{matrix}$ =[0,0,1,0]^T	$\begin{matrix} x_{m 3_{1}} \end{matrix}$ =[0,0,A_m,0], $\begin{matrix} x_{m 3_{2}} \end{matrix}$ =[0,0,A_m,0]
…	…	…
111111	$\begin{matrix} x_{s 3_{1}} \end{matrix}$ =[0,0,1,0]^T, $\begin{matrix} x_{s 3_{2}} \end{matrix}$ =[0,0,0,1]^T	$\begin{matrix} x_{m 3_{1}} \end{matrix}$ =[0,0,0,A_m], $\begin{matrix} x_{m 3_{2}} \end{matrix}$ =[0,0,0,A_m]

Table 2. Transmission rate, spectral efficiency, and computational complexity of optical spatial modulation system

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Table 2. Transmission rate, spectral efficiency, and computational complexity of optical spatial modulation system

Modulation	Transmission rate /(bit·s^-1)	Spectral efficiency /(bit·s^-1·Hz^-1)	ML Complexity
SMX (L-PPM)	N_tlog₂L	N_t(log₂L/L)	$\begin{matrix} L^{N_{t}} \end{matrix}$ ( $\begin{matrix} N_{t}^{2} \end{matrix}$ L+2N_tN_rL-N_tL+2N_rL-1)
M-SPAM	log₂N_t+log₂M	log₂(MN_t)	N_tM(2N_tN_r+2N_r-1)
L-SPPM	log₂N_t+log₂L	log₂(LN_t)/L	N_tL(2N_tLN_r+2N_rL-1)
L-GSPPM	floor[log₂ $\begin{matrix} C_{N_{t}}^{2} \end{matrix}$ ]+2log₂L	[log₂( $\begin{matrix} C_{N_{t}}^{2} \end{matrix}$ L²)]/L	floor[log₂ $\begin{matrix} C_{N_{t}}^{2} \end{matrix}$ ]·L²·(2N_tLN_r+2N_rL+N_tL-1)
L-EOSM	floor[log₂(2· $\begin{matrix} C_{N_{t}}^{2} \end{matrix}$ +N_t)]+log₂L	$\begin{matrix} \frac{N_{t} lo g_{2} (N_{t} L) + 2 \cdot C_{N_{t}}^{2} lo g_{2} (C_{N_{t}}^{2} L^{2})}{L (2 \cdot C_{N_{t}}^{2} + N_{t})} \end{matrix}$	(N_t+2 $\begin{matrix} C_{N_{t}}^{2} \end{matrix}$ )·L(2N_tLN_r+2N_rL-1)

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Yue Zhang, Huiqin Wang, Minghua Cao, Rui Huang. Enhanced Optical Spatial Modulation in Wireless Optical Communication[J]. Acta Optica Sinica, 2020, 40(3): 0306001

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Paper Information

Category: Fiber Optics and Optical Communications

Received: Jul. 26, 2019

Accepted: Sep. 26, 2019

Published Online: Feb. 10, 2020

The Author Email: Huiqin Wang (15117024169@139.com)

DOI:10.3788/AOS202040.0306001

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laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology