• Laser & Optoelectronics Progress
  • Vol. 59, Issue 23, 2307001 (2022)
Yaming Wei, Bin Xue*, Wang Cai, Dongliang Wang, and Fanpeng Dong
Author Affiliations
  • School of Marine Science and Technology, Tianjin University, Tianjin 300072, China
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    DOI: 10.3788/LOP202259.2307001 Cite this Article Set citation alerts
    Yaming Wei, Bin Xue, Wang Cai, Dongliang Wang, Fanpeng Dong. Optimal Design of Sparse Arrays for Spatial Expansion Communication Model[J]. Laser & Optoelectronics Progress, 2022, 59(23): 2307001 Copy Citation Text show less
    Schematic diagram of the model
    Fig. 1. Schematic diagram of the model
    Schematic diagram of source-receiving volume
    Fig. 2. Schematic diagram of source-receiving volume
    K-means clustering algorithm flow chart
    Fig. 3. K-means clustering algorithm flow chart
    5-5 schematic diagram of uniform distribution and sparse distribution
    Fig. 4. 5-5 schematic diagram of uniform distribution and sparse distribution
    Simulated experimental results. (a) σn; (b) σmax/σn
    Fig. 5. Simulated experimental results. (a) σn; (b) σmax/σn
    Schematic diagram of two-dimensional array
    Fig. 6. Schematic diagram of two-dimensional array
    Two-dimensional simulation experiment results. (a) σn; (b) σmax/σn
    Fig. 7. Two-dimensional simulation experiment results. (a) σn; (b) σmax/σn
    Calculation results of different maximum evolutionary algebras. (a) σn; (b) σmax/σn
    Fig. 8. Calculation results of different maximum evolutionary algebras. (a) σn; (b) σmax/σn
    Calculation results of different population sizes. (a) σn; (b) σmax/σn
    Fig. 9. Calculation results of different population sizes. (a) σn; (b) σmax/σn
    Effective points-redundant points analysis
    Fig. 10. Effective points-redundant points analysis
    Schematic diagram of sparse array distribution plane
    Fig. 11. Schematic diagram of sparse array distribution plane
    Schematic diagram of sparse array clustering distribution
    Fig. 12. Schematic diagram of sparse array clustering distribution
    Population sizeMaximum evolutionary algebraCondition numberNumber of effective pointsRunning time /s
    10010035.706911614
    10020029.788010428
    10030028.523010346
    10050026.38949670
    10070026.02119999
    20070025.481490198
    30070025.407288297
    40070025.450583397
    Table 1. Optimization results of different parameters
    Yaming Wei, Bin Xue, Wang Cai, Dongliang Wang, Fanpeng Dong. Optimal Design of Sparse Arrays for Spatial Expansion Communication Model[J]. Laser & Optoelectronics Progress, 2022, 59(23): 2307001
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