无线光通信中的增强型光空间调制

张悦; 王惠琴; 曹明华; 黄瑞

doi:doi:10.3788/AOS202040.0306001

光学学报, 2020, 40 (3): 0306001, 网络出版: 2020-02-10

无线光通信中的增强型光空间调制下载： 1112次

Enhanced Optical Spatial Modulation in Wireless Optical Communication

张悦 ¹王惠琴 ^1,*曹明华 ¹黄瑞 ²

作者单位

¹ 兰州理工大学计算机与通信学院, 甘肃兰州 730050

² 兰州理工大学电气工程与信息工程学院, 甘肃兰州 730050

图 & 表

图 1. EOSM系统模型

Fig. 1. Model of EOSM system

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图 2. EOSM系统误码率的理论上界与仿真性能

Fig. 2. Theoretical upper bound and simulation performance of BER in EOSM system

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图 3. 传输速率为6 bit/s,N_t=4,N_r=4时,不同系统的计算复杂度、频谱效率和误码率。(a)不同系统的计算复杂度和频谱效率;(b)不同系统的误码率曲线

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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图 4. 传输速率为6 bit/s, L=4,N_r=4时,不同系统的计算复杂度、频谱效率和误码率。(a)不同系统的频谱效率和复杂度;(b)不同系统的误码率

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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图 5. 不同参数下的EOSM误码率曲线

Fig. 5. BER curves of EOSM system with differentparameters

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表 1EOSM系统的码字表

Table1. 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]

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表 2光空间调制系统的传输速率、频谱效率、计算复杂度

Table2. 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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张悦, 王惠琴, 曹明华, 黄瑞. 无线光通信中的增强型光空间调制[J]. 光学学报, 2020, 40(3): 0306001. Yue Zhang, Huiqin Wang, Minghua Cao, Rui Huang. Enhanced Optical Spatial Modulation in Wireless Optical Communication[J]. Acta Optica Sinica, 2020, 40(3): 0306001.

无线光通信中的增强型光空间调制下载： 1112次

图 1. EOSM系统模型

Fig. 1. Model of EOSM system

图 2. EOSM系统误码率的理论上界与仿真性能

Fig. 2. Theoretical upper bound and simulation performance of BER in EOSM system

图 3. 传输速率为6 bit/s,N_t=4,N_r=4时,不同系统的计算复杂度、频谱效率和误码率。(a)不同系统的计算复杂度和频谱效率;(b)不同系统的误码率曲线

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

图 4. 传输速率为6 bit/s, L=4,N_r=4时,不同系统的计算复杂度、频谱效率和误码率。(a)不同系统的频谱效率和复杂度;(b)不同系统的误码率

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

图 5. 不同参数下的EOSM误码率曲线

Fig. 5. BER curves of EOSM system with differentparameters

表 1EOSM系统的码字表

Table1. Codeword table of EOSM system

表 2光空间调制系统的传输速率、频谱效率、计算复杂度

Table2. Transmission rate, spectral efficiency, and computational complexity of optical spatial modulation system

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无线光通信中的增强型光空间调制 下载： 1112次

图 1. EOSM系统模型

Fig. 1. Model of EOSM system

图 2. EOSM系统误码率的理论上界与仿真性能

Fig. 2. Theoretical upper bound and simulation performance of BER in EOSM system

图 3. 传输速率为6 bit/s,Nt=4,Nr=4时,不同系统的计算复杂度、频谱效率和误码率。(a)不同系统的计算复杂度和频谱效率;(b)不同系统的误码率曲线

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

图 4. 传输速率为6 bit/s, L=4,Nr=4时,不同系统的计算复杂度、频谱效率和误码率。(a)不同系统的频谱效率和复杂度;(b)不同系统的误码率

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

图 5. 不同参数下的EOSM误码率曲线

Fig. 5. BER curves of EOSM system with differentparameters

表 1EOSM系统的码字表

Table1. Codeword table of EOSM system

表 2光空间调制系统的传输速率、频谱效率、计算复杂度

Table2. Transmission rate, spectral efficiency, and computational complexity of optical spatial modulation system

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无线光通信中的增强型光空间调制下载： 1112次

图 3. 传输速率为6 bit/s,N_t=4,N_r=4时,不同系统的计算复杂度、频谱效率和误码率。(a)不同系统的计算复杂度和频谱效率;(b)不同系统的误码率曲线

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

图 4. 传输速率为6 bit/s, L=4,N_r=4时,不同系统的计算复杂度、频谱效率和误码率。(a)不同系统的频谱效率和复杂度;(b)不同系统的误码率

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