• Laser & Optoelectronics Progress
  • Vol. 59, Issue 13, 1304002 (2022)
Fengxun Gong and Mengran Li*
Author Affiliations
  • College of Electronical Information and Automation, Civil Aviation University of China, Tianjin 300300, China
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    DOI: 10.3788/LOP202259.1304002 Cite this Article Set citation alerts
    Fengxun Gong, Mengran Li. Performance Analysis of Arrival Time Estimation Algorithm for Multilateration System[J]. Laser & Optoelectronics Progress, 2022, 59(13): 1304002 Copy Citation Text show less
    Pulse string of the S-mode signal
    Fig. 1. Pulse string of the S-mode signal
    Schematic diagram of TOA measured by rising edge decision algorithm
    Fig. 2. Schematic diagram of TOA measured by rising edge decision algorithm
    Simulation results of the matched filtering algorithm
    Fig. 3. Simulation results of the matched filtering algorithm
    Simulation results of the differential matched filtering algorithm
    Fig. 4. Simulation results of the differential matched filtering algorithm
    Processing result of the differential matched filter to the multi-pulse. (a) M=2; (b) M=4
    Fig. 5. Processing result of the differential matched filter to the multi-pulse. (a) M=2; (b) M=4
    TOA theoretical accuracy of different algorithms
    Fig. 6. TOA theoretical accuracy of different algorithms
    Fitting results of the RE algorithm
    Fig. 7. Fitting results of the RE algorithm
    Variation curve of the fitting effect of different order polynomial of DAE algorithm with SNR
    Fig. 8. Variation curve of the fitting effect of different order polynomial of DAE algorithm with SNR
    Influence of fitting order and data volume of DAE algorithm on fitting results. (a) Polynomial order; (b) data volume
    Fig. 9. Influence of fitting order and data volume of DAE algorithm on fitting results. (a) Polynomial order; (b) data volume
    Fifth-order polynomial fitting result of the DAE algorithm
    Fig. 10. Fifth-order polynomial fitting result of the DAE algorithm
    Influence of SNR, FS and B on different algorithms. (a) FS=100 MHz, B=20 MHz; (b) SNR is 15 dB, B=20 MHz; (c) FS=100 MHz, SNR is 15 dB
    Fig. 11. Influence of SNR, FS and B on different algorithms. (a) FS=100 MHz, B=20 MHz; (b) SNR is 15 dB, B=20 MHz; (c) FS=100 MHz, SNR is 15 dB
    TOA error distribution for different algorithms. (a) ME algorithm; (b) DE algorithm
    Fig. 12. TOA error distribution for different algorithms. (a) ME algorithm; (b) DE algorithm
    TOA estimation error distribution of DAE and ME algorithms. (a) SNR is 10 dB; (b) SNR is 15 dB
    Fig. 13. TOA estimation error distribution of DAE and ME algorithms. (a) SNR is 10 dB; (b) SNR is 15 dB
    Actual data acquired by the MLAT receiver. (a) Full data; (b) intercepted complete S-mode signal
    Fig. 14. Actual data acquired by the MLAT receiver. (a) Full data; (b) intercepted complete S-mode signal
    Actual arrangement of MLAT stations at international airports
    Fig. 15. Actual arrangement of MLAT stations at international airports
    Root mean square error of TOA estimates for different algorithms
    Fig. 16. Root mean square error of TOA estimates for different algorithms
    Influence of different algorithms on the HDOP distribution of the MLAT system. (a) RE; (b) RAE; (c) ME; (d) DE; (e) DAE
    Fig. 17. Influence of different algorithms on the HDOP distribution of the MLAT system. (a) RE; (b) RAE; (c) ME; (d) DE; (e) DAE
    Influence of different algorithms on the VDOP distribution of the MLAT system. (a) RE; (b) RAE; (c) ME; (d) DE; (e) DAE
    Fig. 18. Influence of different algorithms on the VDOP distribution of the MLAT system. (a) RE; (b) RAE; (c) ME; (d) DE; (e) DAE
    AlgorithmMaximumMinimumMean value
    RE29.718.825.2
    RAE24.317.820.7
    ME11.05.98.1
    DE10.45.07.4
    DAE5.53.24.8
    Table 1. Root mean square error extreme value and mean value of different algorithms
    Fengxun Gong, Mengran Li. Performance Analysis of Arrival Time Estimation Algorithm for Multilateration System[J]. Laser & Optoelectronics Progress, 2022, 59(13): 1304002
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