Research on Visible Light Channel Modeling and Positioning in Irregular Scenes

Fig. 5. Optical power distribution diagram. (a) First time reflected optical power; (b) second time reflected optical power; (c) direct optical power; (d) received total optical power

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Fig. 6. Spatial distribution of GA-BP positioning errors. (a) Direct positioning error distribution; (b) direct and first reflection positioning error distribution

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Fig. 7. Algorithm positioning distribution map in irregular scene. (a) BP algorithm positioning distribution; (b) GA-BP algorithm positioning distribution

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Fig. 8. Cumulative distribution of positioning errors

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Table 1. GA-BP neural network parameter setting
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Table 1. GA-BP neural network parameter setting
Parameter Set up
Number of input layer nodes 4
Number of hidden layer nodes 20
Number of output layer nodes 2
Evolutionary algebra 50
Population size 10
Crossover probability 0.3
Mutation probability 0.1

Table 2. Simulation parameters

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Table 2. Simulation parameters

Parameter	Value
Transmitted optical power（ $P_{t}$ ）/W	15
Field of view（θ）/（°）	90
Gain of optical filter（ $T_{s}$ ）	1
Concentrator gain（ $g$ ）	10
Effective receiving area of receiver（ $A_{p}$ ）/cm²	1
Semi-angle at half power（ $ϕ_{1 / 2}$ ）/（°）	30

Table 3. Optical power contribution ratio
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Table 3. Optical power contribution ratio
Link mode Optical power ratio /%
Line of sight 80.01
Non line of sight^（1） 15.41
Non line of sight^（2） 4.15

Table 4. Errors of different positioning algorithms
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Table 4. Errors of different positioning algorithms
Different scene positioning algorithm Max positioning error /cm Average positioning error /cm
Irregular scene BP 241.114 79.07
Irregular scene GA-BP 10.250 2.32

Table 5. Positioning timeliness of GA-BP algorithm
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Table 5. Positioning timeliness of GA-BP algorithm
Positioning algorithm Training time of fingerprint data /s Average positioning time /s
GA-BP 81.1719 0.0625

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Tao Guo, Xiaoli Hu, Fengying Wang, Ling Qin. Research on Visible Light Channel Modeling and Positioning in Irregular Scenes[J]. Laser & Optoelectronics Progress, 2023, 60(5): 0506002

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