Visible Light Positioning Algorithm Based on Particle Swarm Optimization Compressed Sensing

Shiwu Xu; Yi Wu; Xufang Wang

doi:10.3788/CJL202148.0306004

Chinese Journal of Lasers, Volume. 48, Issue 3, 0306004(2021)

Visible Light Positioning Algorithm Based on Particle Swarm Optimization Compressed Sensing

Shiwu Xu^1,2,3,4, Yi Wu^1,2,3、*, and Xufang Wang^1,2,3

¹Key Laboratory of Opto-Electronic Science and Technology for Medicine, Ministry of Education, College of Photonic and Electronic Engineering, Fujian Normal University, Fuzhou, Fujian 350007, China

²Concord University College, Fujian Normal University, Fuzhou, Fujian 350117, China

³Fujian Key Laboratory of Photonics Technology, College of Photonic and Electronic Engineering, Fujian Normal University, Fuzhou, Fujian 350007, China

⁴Fujian Engineering Technology Research Center of Photoelectric Sensing Application, College of Photonic and Electronic Engineering, Fujian Normal University, Fuzhou, Fujian 350007, China

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Figures & Tables(13)

Fig. 1. PSO-CS positioning model based on LED communication

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Fig. 2. Flowchart of the PSO-CS algorithm

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Fig. 3. Impact of R_SN on average positioning error

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Fig. 4. Cumulative distributions of the positioning errors. (a) Signal-to-noise ratio is 10 dB; (b) signal-to-noise ratio is 20 dB

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Fig. 5. Impact of L on the PSO-CS positioning algorithm

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Fig. 6. Impact of Q on the PSO-CS positioning algorithm

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Fig. 7. Impact of S on the PSO-CS positioning algorithm

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Fig. 8. Impact of M on the PSO-CS positioning algorithm

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Fig. 9. Impact of R_SR on the PSO-CS positioning algorithm

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Fig. 10. Variation curve of the average positioning error of the PSO-CS positioning algorithm with the number of times, R_SR=50%

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Table 1. Time complexity of the PSO-CS algorithm
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Table 1. Time complexity of the PSO-CS algorithm
Step Theoretical complexity
1) O(MN)+O(SN)+O(MS)
2) O(QT_max)
Total O(MN)+O(SN)+O(QT_max)

Table 2. Average computing time when L value is same

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Table 2. Average computing time when L value is same

Algorithm	Average positioning error /cm	Average computingtime /ms
PSO-CS	3.67	56.12
KNN	15.22	8.42
ELM	33.84	218.23
RF	25.22	253.26
ANN	37.66	3231.18
WKNN	8.75	9.23
OMP	19.14	23.86
RWl₁M	26.78	48.53
BP	18.36	36.79
NR	13.89	8.61
LLS	15.66	1.36

Table 3. Average computing time when L value is different
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Table 3. Average computing time when L value is different
Algorithm L /cm Average positioning error /cm Average computing time /ms
PSO-CS 70 5.89 45.32
WKNN 10 6.18 113.68

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Shiwu Xu, Yi Wu, Xufang Wang. Visible Light Positioning Algorithm Based on Particle Swarm Optimization Compressed Sensing[J]. Chinese Journal of Lasers, 2021, 48(3): 0306004

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