Realization of high stability PGC-EKF demodulation algorithm based on FPGA

Jian Xiao; Dingli Xu; Shumin Pan; Gang Zhang; Linguang Xu; Qiang Ge

doi:10.1117/12.3010098

18 December 2023 Realization of high stability PGC-EKF demodulation algorithm based on FPGA

Jian Xiao, Dingli Xu, Shumin Pan, Gang Zhang, Linguang Xu, Qiang Ge

Proceedings Volume 12968, AOPC 2023: Optic Fiber Gyro ; 1296827 (2023) https://doi.org/10.1117/12.3010098
Event: Applied Optics and Photonics China 2023 (AOPC2023), 2023, Beijing, China

Abstract

In the phase generation carrier (PGC) arctan demodulation schemes, carrier phase delay (CPD) and phase modulation depth (C) fluctuation might lead to incorrect demodulated results. This paper realizes a high-stability PGC-extended Kalman filter (EKF) demodulation algorithm based on a Field-Programmable Gate Array (FPGA). EKF-based ellipse fitting algorithm is used to eliminate nonlinear errors in the two original quadrature signals. The function and logic correctness of the design are verified by simulation. The simulation results show that the algorithm can calculate the ellipse parameters accurately and quickly. In experimental comparisons with the traditional PGC-Arctan demodulation algorithm, the PGC-EKF algorithm demonstrates significant suppression of nonlinear distortion in the demodulated results. As C varies from 1.5rad to 3.5rad, the algorithm achieves a mean SINAD of 38.457 dB with a standard deviation of 0.312 dB. Similarly, as the CPD varies from 0 to , the mean SINAD remains at 38.033 dB with a standard deviation of 0.777 dB. In addition, the PGC-EKF algorithm exhibits high stability during long-term operation on FPGA boards. This is evidenced by the significantly lower SINAD standard deviation (1.319dB) compared to the PGC-Arctan algorithm (3.296dB) when C is 2.63rad and CPD is 0 degrees. The proposed PGC-EKF demodulation algorithm based on FPGA has broad application prospects in fiber optic interferometric sensors.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Jian Xiao, Dingli Xu, Shumin Pan, Gang Zhang, Linguang Xu, and Qiang Ge "Realization of high stability PGC-EKF demodulation algorithm based on FPGA", Proc. SPIE 12968, AOPC 2023: Optic Fiber Gyro , 1296827 (18 December 2023); https://doi.org/10.1117/12.3010098

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KEYWORDS

Demodulation

Field programmable gate arrays

Signal filtering

Design and modelling

Covariance matrices

Distortion

Fiber optics sensors

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