Reconstruction and Separation Method of Ranging and Communication Phase in Beat-Note for Micro-Radian Phasemeter

The primary measurement involves detecting tiny (picometer-level) pathlength fluctuations between satellites using heterodyne laser interferometry for space-based gravitational wave detection. The interference of two laser beams with a MHz-level frequency difference produces a MHz beat-note, in whic...

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Main Authors: Tao Yu, Hongyu Long, Ke Xue, Mingzhong Pan, Zhi Wang, Yunqing Liu
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Aerospace
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Online Access:https://www.mdpi.com/2226-4310/12/7/564
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author Tao Yu
Hongyu Long
Ke Xue
Mingzhong Pan
Zhi Wang
Yunqing Liu
author_facet Tao Yu
Hongyu Long
Ke Xue
Mingzhong Pan
Zhi Wang
Yunqing Liu
author_sort Tao Yu
collection DOAJ
description The primary measurement involves detecting tiny (picometer-level) pathlength fluctuations between satellites using heterodyne laser interferometry for space-based gravitational wave detection. The interference of two laser beams with a MHz-level frequency difference produces a MHz beat-note, in which the gravitational wave signal is encoded in the phase of the beat-note. The phasemeter then performs micro-radian accuracy phase measurement and communication information demodulation for this beat-note. To mitigate the impact of phase modulation, existing solutions mostly alleviate it by reducing the modulation depth and optimizing the structure of the pseudo-random noise (PRN) codes. Since the phase modulation is not effectively separated from the phase of the beat-note phase measurement, it has a potential impact on the phase extraction of the micro-radian accuracy of the beat-note. To solve this problem, this paper analyzes the influence mechanism of phase modulation on beat-note phase measurement and proposes a method to separate the modulated phase based on complex rotation. The beat-note is processed by complex conjugate rotation, which can effectively eliminate the PRN modulated phase. Simulation and analysis results demonstrate that this method can significantly enhance the purity of the measured phase in the beat-note while maintaining the ranging and communication functions. Targeting the application of the micro-radian phasemeter in space-based gravitational wave detection, this study presents the reconstruction and separation method of the ranging and communication phase in beat-note, which also provides a new direction for the final selection of modulation depth in the future.
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spelling doaj-art-4f855327fa4f431190845691c4a9ce2f2025-08-20T02:48:17ZengMDPI AGAerospace2226-43102025-06-0112756410.3390/aerospace12070564Reconstruction and Separation Method of Ranging and Communication Phase in Beat-Note for Micro-Radian PhasemeterTao Yu0Hongyu Long1Ke Xue2Mingzhong Pan3Zhi Wang4Yunqing Liu5School of Electronic Information Engineering, Changchun University of Science and Technology, Changchun 130022, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaSchool of Physics and Photoelectric Engineering, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences (UCAS), Hangzhou 310024, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaSchool of Electronic Information Engineering, Changchun University of Science and Technology, Changchun 130022, ChinaThe primary measurement involves detecting tiny (picometer-level) pathlength fluctuations between satellites using heterodyne laser interferometry for space-based gravitational wave detection. The interference of two laser beams with a MHz-level frequency difference produces a MHz beat-note, in which the gravitational wave signal is encoded in the phase of the beat-note. The phasemeter then performs micro-radian accuracy phase measurement and communication information demodulation for this beat-note. To mitigate the impact of phase modulation, existing solutions mostly alleviate it by reducing the modulation depth and optimizing the structure of the pseudo-random noise (PRN) codes. Since the phase modulation is not effectively separated from the phase of the beat-note phase measurement, it has a potential impact on the phase extraction of the micro-radian accuracy of the beat-note. To solve this problem, this paper analyzes the influence mechanism of phase modulation on beat-note phase measurement and proposes a method to separate the modulated phase based on complex rotation. The beat-note is processed by complex conjugate rotation, which can effectively eliminate the PRN modulated phase. Simulation and analysis results demonstrate that this method can significantly enhance the purity of the measured phase in the beat-note while maintaining the ranging and communication functions. Targeting the application of the micro-radian phasemeter in space-based gravitational wave detection, this study presents the reconstruction and separation method of the ranging and communication phase in beat-note, which also provides a new direction for the final selection of modulation depth in the future.https://www.mdpi.com/2226-4310/12/7/564space-based gravitational wave detectionlaser interferometerphasemeterranging and communication
spellingShingle Tao Yu
Hongyu Long
Ke Xue
Mingzhong Pan
Zhi Wang
Yunqing Liu
Reconstruction and Separation Method of Ranging and Communication Phase in Beat-Note for Micro-Radian Phasemeter
Aerospace
space-based gravitational wave detection
laser interferometer
phasemeter
ranging and communication
title Reconstruction and Separation Method of Ranging and Communication Phase in Beat-Note for Micro-Radian Phasemeter
title_full Reconstruction and Separation Method of Ranging and Communication Phase in Beat-Note for Micro-Radian Phasemeter
title_fullStr Reconstruction and Separation Method of Ranging and Communication Phase in Beat-Note for Micro-Radian Phasemeter
title_full_unstemmed Reconstruction and Separation Method of Ranging and Communication Phase in Beat-Note for Micro-Radian Phasemeter
title_short Reconstruction and Separation Method of Ranging and Communication Phase in Beat-Note for Micro-Radian Phasemeter
title_sort reconstruction and separation method of ranging and communication phase in beat note for micro radian phasemeter
topic space-based gravitational wave detection
laser interferometer
phasemeter
ranging and communication
url https://www.mdpi.com/2226-4310/12/7/564
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