• Chinese Optics Letters
  • Vol. 22, Issue 1, 013901 (2024)
Lihan Wang, Lingyun Ren, Xiangchuan Wang*, and Shilong Pan**
Author Affiliations
  • National Key Laboratory of Microwave Photonics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
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    DOI: 10.3788/COL202422.013901 Cite this Article Set citation alerts
    Lihan Wang, Lingyun Ren, Xiangchuan Wang, Shilong Pan. Time-resolution enhanced multi-path OTD measurement using an adaptive filter based incoherent OFDR[J]. Chinese Optics Letters, 2024, 22(1): 013901 Copy Citation Text show less
    (a) Configuration of the I-OFDR system. ASE, amplified spontaneous emission source; OBPF, optical bandpass filter; EDFA, erbium-doped fiber amplifier; MZM, Mach–Zehnder modulator; OC, optical coupler; VNA, vector network analyzer; PD, photodetector; ODL, optical delay line. (b) Comparison of the estimated time-domain response between the iDFT-based methods and the adaptive filtering method.
    Fig. 1. (a) Configuration of the I-OFDR system. ASE, amplified spontaneous emission source; OBPF, optical bandpass filter; EDFA, erbium-doped fiber amplifier; MZM, Mach–Zehnder modulator; OC, optical coupler; VNA, vector network analyzer; PD, photodetector; ODL, optical delay line. (b) Comparison of the estimated time-domain response between the iDFT-based methods and the adaptive filtering method.
    (a) Estimated time-domain response by applying the adaptive filter in different iterations. The blue line is the estimated response by using the iDFT algorithm. (b) Heat map of the estimated time-domain response in different iterations.
    Fig. 2. (a) Estimated time-domain response by applying the adaptive filter in different iterations. The blue line is the estimated response by using the iDFT algorithm. (b) Heat map of the estimated time-domain response in different iterations.
    (a) Estimated OTDs of the two measurement paths as a function of the iteration number. (b) ‖Pnew−P‖2 versus the iteration number.
    Fig. 3. (a) Estimated OTDs of the two measurement paths as a function of the iteration number. (b) ‖PnewP2 versus the iteration number.
    The estimated time-domain response under the test of ODL1 and ODL2 when the delay of ODL1 changes from 100 ps to 0 ps with a step of 10 ps.
    Fig. 4. The estimated time-domain response under the test of ODL1 and ODL2 when the delay of ODL1 changes from 100 ps to 0 ps with a step of 10 ps.
    Evaluation of the system’s accuracy when ODL1 changes from 100 ps to 0 ps. (a) The deviation of ODL1 in measurement. (b) The measured OTD of ODL2.
    Fig. 5. Evaluation of the system’s accuracy when ODL1 changes from 100 ps to 0 ps. (a) The deviation of ODL1 in measurement. (b) The measured OTD of ODL2.
    Monte Carlo simulation results of two measurement channels with 570.4 ps and 630.7 ps when the frequency range is 8 GHz. (a) The total variance as a function of the signal-interference ratio. (b) The total error as a function of the signal-interference ratio.
    Fig. 6. Monte Carlo simulation results of two measurement channels with 570.4 ps and 630.7 ps when the frequency range is 8 GHz. (a) The total variance as a function of the signal-interference ratio. (b) The total error as a function of the signal-interference ratio.
    Input: OTD range vector τ=[τ1,,τK], frequency points f=[f1,,fM], photocurrent vector i=[i(f1),,i(fM)], threshold Pth.
    Output: Estimated time-domain response ψ^=[ψ^1,,ψ^K]
    1:  Compute f(τk) for 1kK according to Eq. (3)
    2:  F(τ)=[f(τ1),,f(τK)]
    3:  ψ^[FH(τ)i)][FH(τ)F(τ)]
    4:  Compute Pnew according to Eq. (9)
    5:  Compute Q(τk)new for 1kK according to Eq. (10)
    6:  repeat
    7:   Q(τk)Q(τk)new for 1kK
    8:   PPnew
    9:   Compute ψ^k for 1kK according to Eq. (8)
    10:   Compute Pnew according to Eq. (9)
    11:   Compute Q(τk)new for 1kK according to Eq. (10)
    12:  untilPnewP2<Pth
    Table 1. Muti-Path OTD Measurement Using Adaptive Filtering
    Lihan Wang, Lingyun Ren, Xiangchuan Wang, Shilong Pan. Time-resolution enhanced multi-path OTD measurement using an adaptive filter based incoherent OFDR[J]. Chinese Optics Letters, 2024, 22(1): 013901
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