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Analysis of impact of group delay on slope distortion of S-curve in delay locked loop

Published online by Cambridge University Press:  09 February 2021

Yuqi Liu Open the ORCID record for Yuqi Liu [Opens in a new window] ,
Yihang Ran ,
Yi Yang ,
Lin Chen ,
Tuling Xiong  and
Hongchen Pan
Yuqi Liu*
Affiliation:
The 29th Research Institute of China Electronics Technology Group Corporation, Chengdu, China.
Yihang Ran
Affiliation:
The 29th Research Institute of China Electronics Technology Group Corporation, Chengdu, China.
Yi Yang
Affiliation:
The 29th Research Institute of China Electronics Technology Group Corporation, Chengdu, China.
Lin Chen
Affiliation:
The 29th Research Institute of China Electronics Technology Group Corporation, Chengdu, China.
Tuling Xiong
Affiliation:
The 29th Research Institute of China Electronics Technology Group Corporation, Chengdu, China.
Hongchen Pan
Affiliation:
The 29th Research Institute of China Electronics Technology Group Corporation, Chengdu, China.
*
*Corresponding author. E-mail: liu.yuqi@139.com
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Abstract

As essential specifications of correlation domain for signal quality evaluation, distortions of the S-curve, including bias and slope distortions of the zero-crossing point, are usually selected as indicators of optimisation in the process of designing the channels of receivers or navigation satellites. Focusing on this issue, we present a detailed analysis of slope distortion in the presence of group delay and amplitude distortions. After validating the theoretical results, we present further discussions about the impacts of different group delay terms on slope distortions. The results indicate that both the odd-order and the even-order terms have impacts on the slope distortion, and higher odd-order terms have less slope distortion compared with the lower odd-order terms. These results are useful for evaluating the slope distortion from the group delay and guiding improvement in design of the channel.

Keywords

delay locked loopsatellite navigationsignal processingspread spectrumtracking loop
Type
Research Article
Information
The Journal of Navigation , Volume 74 , Issue 3 , May 2021 , pp. 698 - 712
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Copyright
Copyright © The Royal Institute of Navigation 2021

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References

Betz, J. W. (2002). Effect of Linear Time-Invariant Distortions on RNSS Code Tracking Accuracy. Proceedings of ION GPS 2002, Institute of Navigation, Portland, OR, USA.Google Scholar
Betz, J. W. and Kolodziejski, K. R. (2009a). Generalized theory of code tracking with an early-late discriminator part I: Lower bound and coherent processing. IEEE Transactions on Aerospace and Electronic Systems, 45, 1538–1556.CrossRefGoogle Scholar
Betz, J. W. and Kolodziejski, K. R. (2009b). Generalized theory of code tracking with an early-late discriminator part II: Noncoherent processing and numerical results. IEEE Transactions on Aerospace and Electronic Systems, 45, 1557–1564.CrossRefGoogle Scholar
China Satellite Navigation Office (2018). BeiDou Navigation Satellite System Signal in Space Interface Control Document Open Service Signal B3I (Version 1.0). Available at: http://beidou.gov.cn/xt/gfxz/201802/P020180209623601401189.pdf [Accessed 15 Dec. 2018].Google Scholar
European Union (2013). European GNSS (Galileo) open service signal in space interface control document. Available at: https://galileognss.eu/galileo-os-sis-icd/ [Accessed 15 Dec 2018].Google Scholar
Global Positioning Systems Directorate (2018). Navstar GPS Space Segment/User Segment L5 Interface. Available at: https://www.gps.gov/technical/icwg/. [Accessed 15 Dec 2018].Google Scholar
Gong, X., Lou, Y., Zheng, F., Gu, S., Shi, C., Liu, J. and Jing, G. (2018). Evaluation and calibration of BeiDou receiver-related pseudorange biases. GPS Solutions, 22, 98.CrossRefGoogle Scholar
Guo, N. Y., Kou, Y. H., Zhao, Y., Yu, Z. and Chen, Y. (2014). An all-pass filter for compensation of ionospheric dispersion effects on wideband GNSS signals. GPS Solutions, 18, 625–637.CrossRefGoogle Scholar
Hauschild, A. and Montenbruck, O. (2016). A study on the dependency of GNSS pseudorange biases on correlator spacing. GPS Solutions, 20, 159–171.CrossRefGoogle Scholar
He, C. Y., Lu, X. C., Guo, J., Su, C., Wang, W. and Wang, M. (2020). Initial analysis for characterizing and mitigating the pseudorange biases of BeiDou navigation satellite system. Satellite Navigation, 1, 3.CrossRefGoogle Scholar
Kaplan, E. and Hegarty, C. J. (2006). Understanding GPS Principle. Second edition. Norwood: Artech House.Google Scholar
Liu, Y. Q., Ran, Y. H., Ke, T. and Hu, X. L. (2012). Characterization of code tracking error of coherent DLL under CW interference. Wireless. Personal. Communication, 66, 397–417.CrossRefGoogle Scholar
Liu, Y. Q., Chen, L., Yang, Y., Pan, H. C. and Ran, Y. H. (2019). Theoretical evaluation of group delay on pseudorange bias. GPS Solutions, 23, 69.CrossRefGoogle Scholar
Liu, Y. Q., Yang, Y., Chen, L., Pan, H. C. and Ran, Y. H. (2020). Analysis of phase bias between GNSS signal components caused by non-ideal group delay. Navigation, 67, 291–305.CrossRefGoogle Scholar
Quan, Y., Lau, L., Roberts, G. W. and Meng, X. (2015). Measurement signal quality assessment on all available and new signals of multi-GNSS (GPS, GLONASS, Galileo, BDS, and QZSS) with real data. The Journal of Navigation, 69(02), 313–334.CrossRefGoogle Scholar
Soellner, M., Kohl, R., Luetke, W. and Erhard, P. (2002). The Impact of Linear and non-Linear Signal Distortions on Galileo Code Tracking Accuracy. Proceedings of ION GPS 2002, Institute of Navigation, Portland, OR, USA.Google Scholar
Thoelert, S., Steigenberger, P., Montenbruck, O. and Meurer, M. (2019). Signal analysis of the first GPS III satellite. GPS Solutions, 23, 92.CrossRefGoogle Scholar
Warner, E. S. and Last, J. D. (2009). Interpretation of S-curve and tracking error in a delay-lock-loop. The Journal of Navigation, 48, 303–306.CrossRefGoogle Scholar
Wu, W., Guo, F. and Zheng, J. (2020). Analysis of Galileo signal-in-space range error and positioning performance during 2015–2018. Satellite Navigation, 1, 6.CrossRefGoogle Scholar
Xie, J., Wang, H., Li, P. and Meng, Y. (2018). Satellite Navigation System and Technology. Beijing Institute of Technology Press, Beijing.Google Scholar
Yang, Y. X., Gao, W., Guo, S., Mao, Y. and Yang, Y. (2019). Introduction to BeiDou-3 navigation satellite system. Navigation, 66, 7–18.CrossRefGoogle Scholar
Yang, Y. X., Mao, Y. and Sun, B. (2020). Basic performance and future developments of BeiDou global navigation satellite system. Satellite Navigation, 1, 1.CrossRefGoogle Scholar
Zhu, X. W., Li, Y. L., Yon, S. W. and Zhuang, Z. W. (2009). A novel definition and measurement method of group delay and its application. IEEE Transactions on Instrumentation and Measurement, 58, 229–233.Google Scholar