Real-Time and Highly Accurate Solar Spectrum Velocimetry Using the Mirror NDFT-CS for Doppler Navigation
Publication: Journal of Aerospace Engineering
Volume 34, Issue 6
Abstract
Solar Doppler velocimetry navigation, which utilizes the Doppler frequency shift between the standard solar and measured solar spectra to invert the velocity of the spacecraft, is an emerging and promising celestial autonomous navigation method. However, its accuracy of estimation does not fulfill the requirement of solar Doppler velocimetry navigation. To solve this problem, we developed nonuniform discrete Fourier transform compressive sensing (NDFT-CS) and applied it to solar spectrum velocimetry navigation. Mirror NDFT-CS consists of the mirror Fourier low-frequency measurement matrix, the Doppler frequency-shift dictionary, and the Taylor matching process. Namely, the mirror Fourier low frequencies of the NDFT matrix are used as the measurement matrix. The solar spectra with different Doppler frequency shifts merge to form a Doppler frequency-shift dictionary. Taking the Taylor formula as the objective function, we matched the measured solar spectrum with the dictionary to estimate a Doppler frequency shift. According to the estimated Doppler frequency shift, the velocity of the spacecraft is inverted. Due to the sparsity of solar spectrum signals, the measurement matrix is small, which means a small computational load and high accuracy. Simulation results demonstrate that the solar spectrum velocimetry method using mirror NDFT-CS has high accuracy in real time.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are proprietary or confidential in nature and may only be provided with restrictions. The solar spectrum data can be found in the ESO HARPS archive, http://archive.eso.org/scienceportal/home.
Acknowledgments
This study was supported in part by the National Natural Science Foundation of China (Nos. 61873196 and 61772187).
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Published In
Journal of Aerospace Engineering
Volume 34 • Issue 6 • November 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Jan 5, 2021
Accepted: Jun 11, 2021
Published online: Aug 14, 2021
Published in print: Nov 1, 2021
Discussion open until: Jan 14, 2022
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Cited by
- Zijun Zhang, Jin Liu, Xiaolin Ning, Celestial Spectrum Velocimetry With Non-Linear Fourier Phase Shift and Its CRLB, IEEE Access, 10.1109/ACCESS.2022.3151649, 10, (23321-23332), (2022).