Blind Equalization Optimization Algorithm for FTN Optical Wireless Communication over Exponential Weibull Channel

Minghua Cao; Qinxue Sun; Ruifang Yao; Yue Zhang; Xia Zhang; Kejun Jia; Huiqin Wang

doi:10.3788/AOS240653

Acta Optica Sinica, Volume. 44, Issue 12, 1206001(2024)

Blind Equalization Optimization Algorithm for FTN Optical Wireless Communication over Exponential Weibull Channel

Minghua Cao^1、*, Qinxue Sun¹, Ruifang Yao¹, Yue Zhang¹, Xia Zhang^2,3, Kejun Jia¹, and Huiqin Wang¹

Author Affiliations

¹School of Computer and Communication, Lanzhou University of Technology, Lanzhou 730050, Gansu , China

²School of Physics Science and Information Engineering, Liaocheng University, Liaocheng 252000, Shandong , China

³Shandong Provincial Key Laboratory of Optical Communications Science and Technology, Liaocheng University, Liaocheng 252000, Shandong , China

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Figures & Tables(16)

Fig. 1. Block diagram of proposed system

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Fig. 2. Schematic of CMA-VVPE algorithm

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Fig. 3. Initial step size coefficient

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Fig. 4. Schematic of two-step step optimization

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Fig. 5. Error vector functions of conventional CMA-VVPE algorithm and TS-CMA-VVPE algorithm

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Fig. 6. Schematic of TS-DFE-CMA algorithm

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Fig. 7. EVM curves under different receiving apertures

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Fig. 8. BER curves of four different algorithms. (a) Weak turbulence; (b) moderate turbulence

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Fig. 9. EVM curves of four different algorithms

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Fig. 10. BER and EVM curves of TS-CMA-VVPE and TS-DFE-CMA algorithms. (a) BER curves; (b) EVM curves

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Fig. 11. Comparison of constellation diagrams for two algorithms. Constellation diagrams of TS-CMA-VVPE algorithm with SNR of (a) 15 dB, (b) 20 dB, and (c) 25 dB; constellation diagrams of TS-DFE-CMA algorithm with SNR of (d) 15 dB, (e) 20 dB, and(f) 25 dB

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Fig. 12. Convergence performance curves of four equalization algorithms

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Table 1. Parameters for the system

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Table 1. Parameters for the system

Parameter	Value	Parameter	Value
Wavelength	780 nm	Acceleration parameter	τ=1.0, 0.9, 0.8, 0.7
Distance	325 m	Turbulence intensity	Weak, moderate
Aperture	0, 25, 60, 80, 100 mm	CMA tap	$N_{t} = 9$
Photoelectric conversion efficiency	0.5 A·W^-1	CMA step size	μ₁=0.0002, μ₂=0.00002
Laser linewidth	100 kHz	DFE tap	$N_{f} = 5$ , $N_{b} = 5$
RRC roll-off factor	0.4	DFE step size	μ₁=0.0001, μ₂=0.00001

Table 2. Percentage of improvement

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Table 2. Percentage of improvement

Algorithm	$Δ_{B E R, w e a k}$ /%	$Δ_{B E R, m o d}$ /%	$Δ_{E V M, w e a k}$ /%	$Δ_{E V M, m o d}$ /%
CMA-VVPE vs TS-CMA-VVPE	23.57	13.49	2.26	1.31
DFE-CMA vs TS-DFE-CMA	31.25	40.75	3.83	3.34
CMA-VVPE vs DFE-CMA	6.15	8.33	3.16	3.28
TS-CMA-VVPE vs TS-DFE-CMA	18.37	22.40	4.74	5.27

Table 3. Improvement percentage of proposed TS-DFE-CMA algorithm compared with TS-CMA-VVPE algorithm
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Table 3. Improvement percentage of proposed TS-DFE-CMA algorithm compared with TS-CMA-VVPE algorithm
τ $Δ_{E V M}$ /% $Δ_{B E R}$ /%
1.0 4.72 15.62
0.9 6.49 16.01
0.8 3.81 9.07

Table 4. Computational complexity
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Table 4. Computational complexity
Algorithm Complex multiply Comparator
CMA-VVPE $N_{I} (2 N_{t} + 1)$ 0
TS-CMA-VVPE $N_{I} (2 N_{t} + 1)$ 1- $N$ _s
DFE-CMA $2 N_{I} (N_{f} + N_{b} + 1)$ 0
TS-DFE-CMA $2 N_{I} (N_{f} + N_{b} + 1)$ 1- $N$ _s
Variable step sizeDFE-CMA $2 N_{I} (2 N_{f} + 2 N_{b} + 1)$ 0

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Minghua Cao, Qinxue Sun, Ruifang Yao, Yue Zhang, Xia Zhang, Kejun Jia, Huiqin Wang. Blind Equalization Optimization Algorithm for FTN Optical Wireless Communication over Exponential Weibull Channel[J]. Acta Optica Sinica, 2024, 44(12): 1206001

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