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Open AccessArticle

Phase Difference Measurement of Under-Sampled Sinusoidal Signals for InSAR System Phase Error Calibration

by Zhihui Yuan 1,2,3, Yice Gu 1,2, Xuemin Xing 1,4,* and Lifu Chen 1,2
1
Laboratory of Radar Remote Sensing Applications, Changsha University of Science and Technology, Changsha 410114, China
2
School of Electrical and Information Engineering, Changsha University of Science and Technology, Changsha 410114, China
3
Roy M. Huffington Department of Earth Sciences, Southern Methodist University, Dallas, TX 75275, USA
4
School of Traffic and Transportation Engineering, Changsha University of Science and Technology, Changsha 410114, China
*
Author to whom correspondence should be addressed.
Sensors 2019, 19(23), 5328; https://doi.org/10.3390/s19235328
Received: 5 September 2019 / Revised: 25 November 2019 / Accepted: 1 December 2019 / Published: 3 December 2019
(This article belongs to the Special Issue InSAR Signal and Data Processing)
Phase difference measurement of sinusoidal signals can be used for phase error calibration of the spaceborne single-pass interferometric synthetic aperture radar (InSAR) system. However, there are currently very few papers devoted to the discussion of phase difference measurement of high-frequency internal calibration signals of the InSAR system, especially the discussion of sampling frequency selection and the corresponding measuring method when the high-frequency signals are sampled under the under-sampling condition. To solve this problem, a phase difference measurement method for high-frequency sinusoidal signals is proposed, and the corresponding sampling frequency selection criteria under the under-sampling condition is determined. First, according to the selection criteria, the appropriate under-sampling frequency was chosen to sample the two sinusoidal signals with the same frequency. Then, the sampled signals were filtered by limited recursive average filtering (LRAF) and coherently accumulated in the cycle of the baseband signal. Third, the filtered and accumulated signals were used to calculate the phase difference of the two sinusoidal signals using the discrete Fourier transform (DFT), digital correlation (DC), and Hilbert transform (HT)-based methods. Lastly, the measurement accuracy of the three methods were compared respectively by different simulation experiments. Theoretical analysis and experiments verified the effectiveness of the proposed method for the phase error calibration of the InSAR system. View Full-Text
Keywords: interferometric synthetic aperture radar (InSAR); phase error calibration; phase difference measurement; under-sampling; coherent accumulation interferometric synthetic aperture radar (InSAR); phase error calibration; phase difference measurement; under-sampling; coherent accumulation
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Yuan, Z.; Gu, Y.; Xing, X.; Chen, L. Phase Difference Measurement of Under-Sampled Sinusoidal Signals for InSAR System Phase Error Calibration. Sensors 2019, 19, 5328.

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