Infrared and Laser Engineering, Volume. 51, Issue 12, 20220222(2022)

Design and hardware implementation of modified Rife algorithm for FMCW LiDAR

Mao Ye1,2, Hengquan Liu1,2, Yiqiang Zhao1,2、*, Zewen Sun1,2, and Bin Hu1,2
Author Affiliations
  • 1School of Microelectronics, Tianjin University, Tianjin 300072, China
  • 2Tianjin Key Laboratory of Imaging and Sensing Microelectronic Technology, Tianjin 300072, China
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    Figures & Tables(8)
    (a) Time frequency domain diagram of transmitted signal and received echo signal under the trapezoidal modulation; (b) Time frequency domain diagram of the beat signal after coherent detection; (c) Time domain waveform of the received beat signal
    Comparison of four algorithms for standard deviation of frequency estimation with CRLB
    Test platform of the system
    Distribution diagram of two algorithms absolute frequency error
    FMCW IF echo signal
    • Table 1. Calculation comparison of four algorithms based on N-point FFT

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      Table 1. Calculation comparison of four algorithms based on N-point FFT

      AlgorithmComplex multiplicationDivisionAddition
      Rife012
      Z-Rife214
      A-P-Rife[10]5314
      I-Rife[9]4N14N+4
    • Table 2. Frequency error of different algorithms

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      Table 2. Frequency error of different algorithms

      AlgorithmRMSE/HzME/Hz
      Rife3725835598
      Z-Rife1837110821
    • Table 3. Experimental results

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      Table 3. Experimental results

      L/m V/km·h−1L/m V/km·h−1L_error/m V_error/km·h−1
      1100.989.980.020.02
      5204.9819.970.020.03
      203020.0129.840.010.16
      206019.9960.040.010.04
      209020.0490.000.040.00
      503050.0429.990.040.01
      509050.0090.010.000.01
      5012050.02120.010.020.01
      803080.0329.870.030.13
      809080.0589.980.050.02
      8014080.04140.010.040.01
      11230112.0429.990.040.01
      11290112.0289.950.020.05
      112140120.05139.850.050.15
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    Mao Ye, Hengquan Liu, Yiqiang Zhao, Zewen Sun, Bin Hu. Design and hardware implementation of modified Rife algorithm for FMCW LiDAR[J]. Infrared and Laser Engineering, 2022, 51(12): 20220222

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    Paper Information

    Category: Lasers & Laser optics

    Received: Mar. 25, 2022

    Accepted: --

    Published Online: Jan. 10, 2023

    The Author Email: Zhao Yiqiang (yq_zhao@tju.edu.cn)

    DOI:10.3788/IRLA20220222

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