Time-resolution enhanced multi-path OTD measurement using an adaptive filter based incoherent OFDR

Lihan Wang; Lingyun Ren; Xiangchuan Wang; Shilong Pan

doi:10.3788/COL202422.013901

Chinese Optics Letters, Volume. 22, Issue 1, 013901(2024)

Time-resolution enhanced multi-path OTD measurement using an adaptive filter based incoherent OFDR

Lihan Wang, Lingyun Ren, Xiangchuan Wang^*, and Shilong Pan^**

National Key Laboratory of Microwave Photonics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

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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.

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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.

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Fig. 3. (a) Estimated OTDs of the two measurement paths as a function of the iteration number. (b) ‖P_new−P‖₂ versus the iteration number.

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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.

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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.

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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.

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Table 1. Muti-Path OTD Measurement Using Adaptive Filtering

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Table 1. Muti-Path OTD Measurement Using Adaptive Filtering

Input: OTD range vector

\vec{τ} = [τ_{1}, \dots, τ_{K}]

, frequency points

\vec{f} = [f_{1}, \dots, f_{M}]

, photocurrent vector

\vec{i} = [i (f_{1}), \dots, i (f_{M})]

, threshold

P_{th}

Output: Estimated time-domain response

\hat{\vec{ψ}} = [{\hat{ψ}}_{1}, \dots, {\hat{ψ}}_{K}]

1: Compute

\vec{f} (τ_{k})

for

1 \leq k \leq K

according to Eq. (3)

\vec{F} (\vec{τ}) = [\vec{f} (τ_{1}), \dots, \vec{f} (τ_{K})]

\hat{\vec{ψ}} \leftarrow [{\vec{F}}^{H} (\vec{τ}) \vec{i})] ⊘ [{\vec{F}}^{H} (\vec{τ}) \vec{F} (\vec{τ})]

4: Compute

{\vec{P}}^{new}

according to Eq. (9)

5: Compute

\vec{Q} {(τ_{k})}^{new}

for

1 \leq k \leq K

according to Eq. (10)

6: repeat

\vec{Q} (τ_{k}) \leftarrow \vec{Q} {(τ_{k})}^{new}

for

1 \leq k \leq K

\vec{P} \leftarrow {\vec{P}}^{new}

9: Compute

{\hat{ψ}}_{k}

for

1 \leq k \leq K

according to Eq. (8)

10: Compute

{\vec{P}}^{new}

according to Eq. (9)

11: Compute

\vec{Q} {(τ_{k})}^{new}

for

1 \leq k \leq K

according to Eq. (10)

12: until

{‖ {\vec{P}}^{new} - \vec{P} ‖}_{2} < P_{th}

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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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Paper Information

Category: Microwave Photonics

Received: Jun. 6, 2023

Accepted: Aug. 15, 2023

Published Online: Jan. 9, 2024

The Author Email: Xiangchuan Wang (wangxch@nuaa.edu.cn), Shilong Pan (pans@nuaa.edu.cn)

DOI:10.3788/COL202422.013901

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