An undersampling phase unwrapping algorithm based on Kalman motion estimation for heterodyne interferometer

Jiajin Zhang; Jianquan Zhang; Wenbo Dong; Mengxi Yu; Zhibao Wang; Nan Li

doi:10.1117/12.3030437

3 June 2024 An undersampling phase unwrapping algorithm based on Kalman motion estimation for heterodyne interferometer

Jiajin Zhang, Jianquan Zhang, Wenbo Dong, Mengxi Yu, Zhibao Wang, Nan Li

Proceedings Volume 13182, 2024 International Conference on Optoelectronic Information and Optical Engineering (OIOE 2024); 1318227 (2024) https://doi.org/10.1117/12.3030437
Event: 2024 International Conference on Optoelectronic Information and Optical Engineering (OIOE 2024), 2024, Kunming, China

Abstract

When heterodyne interferometers employ the traditional successive phase unwrapping algorithm (SPUA) for implementing online low-frequency vibration measurements, challenges posed by extensive data volume and time-consuming data processing typically arise. To address these challenges, this paper introduces an undersampling phase unwrapping algorithm (UPUA) based on Kalman motion estimation for heterodyne interferometers. Specifically, the UPUA utilizes the six preceding phases to estimate the phase jerk at the next sampling moment. Furthermore, the sampling frequency for the next sampling moment, denoted as fs, is determined utilizing the peak jerk of the phase. Subsequently, the three preceding phases and fs are employed to derive the estimated phase at the next sampling moment. Following this, the SPUA is further utilized to determine the measurement phase at the next sampling moment after setting the sampling frequency to fs. Ultimately, the actual phase is determined by combining the measured phase with the estimated phase, thus achieving online undersampling phase unwrapping. Simulation and experimental results demonstrate that UPUA adaptively adjusts the sampling frequency and significantly reduces the data volume compared with SPUA in the case of low-frequency vibration measurements.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Jiajin Zhang, Jianquan Zhang, Wenbo Dong, Mengxi Yu, Zhibao Wang, and Nan Li "An undersampling phase unwrapping algorithm based on Kalman motion estimation for heterodyne interferometer", Proc. SPIE 13182, 2024 International Conference on Optoelectronic Information and Optical Engineering (OIOE 2024), 1318227 (3 June 2024); https://doi.org/10.1117/12.3030437

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KEYWORDS

Phase unwrapping

Heterodyning

Interferometers

Phase measurement

Vibration

Motion estimation

Laser frequency

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