DU Baoqiang, LI Songlin, SUN Xiyan, FU Qiang. Modeling Building Method of Lissajous Figure Reversal Period Based on the Group Quantization Phase Processing[J]. Chinese Journal of Electronics, 2019, 28(3): 551-558. doi: 10.1049/cje.2019.03.022
Citation: DU Baoqiang, LI Songlin, SUN Xiyan, FU Qiang. Modeling Building Method of Lissajous Figure Reversal Period Based on the Group Quantization Phase Processing[J]. Chinese Journal of Electronics, 2019, 28(3): 551-558. doi: 10.1049/cje.2019.03.022

Modeling Building Method of Lissajous Figure Reversal Period Based on the Group Quantization Phase Processing

doi: 10.1049/cje.2019.03.022
Funds:  This work was funded by the National Natural Science Foundation of China (No.U1304618, No.41804155, No.61561016, No.61861008), the National Key R&D Program of China (No.2018YFB0505103), the Project of Higher Education Teaching Reform and Practice in Henan Province (No.2017SJGLX353), Department of Science and Technology of Guangxi Zhuang Autonomous Region (No.AC16380014, No.AA17202048, No.AA17202033), Sichuan Science and Technology Plan Project (No.17ZDYF1495), Guilin Science and Technology Bureau Project (No.20160202, No.20170216), basic ability promotion project of young and middle-aged teachers in Universities of Guangxi province (No.ky2016YB164).
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  • Corresponding author: SUN Xiyan (corresponding author) was born in 1973, Shandong, China. She received the M.S. degree from Guilin University of Electronic Technology in 2003 and the Ph.D. degree in satellite navigation and positioning from the National Astronomical Observatories of the Chinese Academy of Sciences, Beijing, China, in 2008. From 2006 to 2008, she was an Assistant Professor with the Guilin University of Electronic Technology. Since 2008, she has been a professor with the School of Information and Communication, Guilin University of Electronic Technology. She is the author of two books, more than 80 articles, and more than 20 inventions. Her research interests include satellite navigation, high-precision positioning, and realtime kinematic positioning and navigation applications. (Email:kaoshi88@yeah.net)
  • Received Date: 2018-04-24
  • Publish Date: 2019-05-10
  • To deeply understand the essential relationship between two different-frequency signals and explore the phase synchronization law in frequency standard comparison, a novel modeling building method of Lissajous figure reversal period is proposed based on the group quantization phase processing. The relationships between the Lissajous figure reversal period and group period are revealed. The frequency deviation and nominal frequency of the measured signal are obtained using the group period and number of inflection point in the Lissajous figure. The results of a frequency standard comparison can accurately achieved using the frequency deviation. A lot of noise problems introduced by the frequency divider, frequency multiplier and frequency mixer are solved in the traditional frequency standard comparison, and the high-precision frequency standard comparison results can be quickly obtained using the proposed method. The experimental results show that a close relationship exists among the Lissajous figure reversal period, group period and frequency deviation. The measured frequency can be precisely calculated using the relationship, and the frequency stability of system can reach the E-112/s level.
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