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Characterization of Code Tracking Error of Coherent DLL Under CW Interference

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Abstract

Characterization of the tracking error under continuous wave (CW) interference is the foundation of the interference detection and mitigation in receiver. It is helpful to select pseudo-random noise (PRN) codes with better code tracking performance under interference during the design of signal structure. Considering the effect of discrete spectral line of PRN code, we present a detailed analysis of tracking error of coherent delay locked loop (DLL) for the both situations that when the interference overlaps the spectral line and that when the interference is around the spectral line. In the first situation, the expression of the maximum tracking error for binary phase shift key (BPSK) modulated signal is obtained. The comparison of the tracking errors between finite and infinite frontend bandwidth cases in the first situation shows that the tracking error in the finite case is not like that in the infinite case and cannot be always reduced by narrowing the correlator spacing. The reason of this phenomenon is explained in detail. Further, we obtain the expression of the tracking error limitation as the correlator spacing tends to zero. It is more reasonable to take this limitation as the criterion of evaluating the code tracking performance for different PRN codes under interference. In the second situation, with the assumption of the infinite frontend bandwidth, we obtain the analytic expression of the tracking error. The analysis results show that the impact of the interference on tracking performance decays quickly when the interference leaves far away from the spectral line, and the diminution of correlator spacing and loop bandwidth both can reduce the tracking error efficiently.

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References

  1. Kaplan E. D., Hegarty C. J. (2006) Understanding GPS: Principles and applications. Artech House, Norwood

    Google Scholar 

  2. Godefroy, B., Poncelet, M., Le, & Chenebault, J. (2004). Analysis of potential CW interference effects caused by UWB devices on GNSS receivers. In Proceedings of ION GNSS 2004 (pp. 187–196).

  3. Misra P., Enge P. (2006) Global positioning system: Signals, measurements and performance (2nd ed.). Ganga-Jamuna Press, Lincoln, MA

    Google Scholar 

  4. Borio D. (2010) GNSS acquisition in the presence of continuous wave interference. IEEE Transactions on Aerospace Electronic Systems 46(1): 47–60

    Article  Google Scholar 

  5. Amin M. G., Sun W. (2005) A novel interference suppression scheme for global navigation satellite systems using antenna array. IEEE Journal on Selected Areas in Communications 23(5): 999–1012

    Article  Google Scholar 

  6. Liu Y., Ran Y., Ke T., Hu X. (2011) Code tracking performance analysis of GNSS signal in the presence of CW interference. Signal Processing 91(4): 970–987

    Article  MATH  Google Scholar 

  7. Karsi M. F., Lindsey W. C. (2000) Effects of CW interference on phase-locked loop performance. IEEE Transactions on Communications 48(5): 886–896

    Article  Google Scholar 

  8. Betz, J. W. (2000). Effect of narrowband interference on GPS code tracking accuracy. In Proceedings of ION NTM 2000 (pp. 16–27).

  9. Betz, J. W. (2001). Effect of partial-band interference on receiver estimation of C/N0 theory. In Proceedings of ION NTM 2001 (pp. 817–828).

  10. Soualle, F., & Burger, T. B. (2003). Impact of Galileo spreading code selection and data rate onto navigation signal interference. In Proceedings of ION GPS/GNSS 2003 (pp. 1035–1043).

  11. Betz J. W., Kolodziejski K. R. (2009) 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(4): 1538–1550

    Article  Google Scholar 

  12. Balaei, A. T., Dempster, A. G., & Barnes, J. (2006). A novel approach in detection and characterization of CW interference of GPS signal using receiver estimation of C/No. In Proceedings of 2006 IEEE/ION position, location, and navigation symposium (pp. 1120–1126).

  13. Balaei A. T., Motella B., Dempster A. (2008) A preventative approach to mitigating CW interference in GPS receivers. GPS Solutions 12(3): 199–209

    Article  Google Scholar 

  14. Anquan W., Lianfeng S. (2008) Performance analysis of the periodic sequence DSSS system against CW interference. Frontiers of Electrical and Electronic Engineering in China 3(1): 79–85

    Article  Google Scholar 

  15. Balaei A. T., Dempster A. G., Presti L. L. (2009) Characterization of the effects of CW and pulse CW interference on the GPS signal quality. IEEE Transactions on Aerospace and Electronic Systems 45(4): 1418–1431

    Article  Google Scholar 

  16. Motella, B., Savasta, S., Margaria, D., & Dovis, F. (2008). An interference impact assessment model for GNSS signals. In Proceedings of ION GNSS 21st, ITM (pp. 900–908).

  17. Spilker J. J., Parkinson B. W. (1996) Global positioning system: Theory and applications. American Institute of Aeronautics and Astronautics, Washington

    Google Scholar 

  18. Betz J. W., Kolodziejski K. R. (2000) Extended theory of early-late code tracking for a bandlimited GPS receiver. NAVIGATION: Journal of The Institute of Navigation 43(3): 211–226

    Google Scholar 

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Authors and Affiliations

  1. Department of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China

    Yuqi Liu, Yihang Ran, Ting Ke & Xiulin Hu

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  1. Yuqi Liu
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  2. Yihang Ran
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  3. Ting Ke
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  4. Xiulin Hu
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Correspondence to Yuqi Liu.

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Liu, Y., Ran, Y., Ke, T. et al. Characterization of Code Tracking Error of Coherent DLL Under CW Interference. Wireless Pers Commun 66, 397–417 (2012). https://doi.org/10.1007/s11277-011-0348-x

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  • DOI: https://doi.org/10.1007/s11277-011-0348-x

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