Circuits, Systems, and Signal Processing

, Volume 32, Issue 3, pp 1013–1023 | Cite as

Application of Memristor-Based Controller for Loop Filter Design in Charge-Pump Phase-Locked Loops

  • Yi-Bo ZhaoEmail author
  • Chi-Kong Tse
  • Jiu-Chao Feng
  • Ye-Cai Guo


In this work, a monotonic increasing piecewise-linear (PWL) memristor-based proportional-integral (PI) controller is analyzed. A periodic rectangular pulse current source is used as the input signal, and the proportionality constant of the PWL memristor-based PI controller is varied according to the amount of charge that passes through the memristor. A circuit is proposed to achieve zero net-charge injection for the memristor so that the memristance of the PWL memristor can be varied in the subsequent period. The proposed PWL memristor-based PI controller can be used in the design of the loop filter for the charge-pump phase-locked loop for achieving a faster dynamical response from an unlocked state to a locked state compared to conventional fixed proportional constant PI controllers.


Memristor Charge-pump phase-locked loop Loop filter Proportional-integral control 



This work was in part supported by a research grant provided by the Hong Kong Polytechnic University, a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions, the National Natural Science Foundation of China under Grant 60872123, and the Joint Fund of the National Natural Science Foundation and the Guangdong Provincial Natural Science Foundation, China, under Grant U0835001.


  1. 1.
    R.E. Best, Phase-Locked Loops Design, Simulation, and Application, 5th edn. (McGraw-Hill, New York, 2003) Google Scholar
  2. 2.
    W.H. Chiu, Y.H. Huang, T.H. Lin, A dynamic phase error compensation technique for fast-locking phase-locked loops. IEEE J. Solid-State Circuits 45(6), 1137–1149 (2010) CrossRefGoogle Scholar
  3. 3.
    Y.S. Choi, H.H. Choi, T.H. Kwon, An adaptive bandwidth phase locked loop with locking status indicator, in Proceedings of IEEE Electronic., Computer & Telecommunication (2005), pp. 826–829 Google Scholar
  4. 4.
    L.O. Chua, Memristor—the missing circuit element. IEEE Trans. Circuit Theory 18(9), 507–519 (1971) CrossRefGoogle Scholar
  5. 5.
    L.O. Chua, S.M. Kang, Memristive devices and systems. Proc. IEEE 64, 209–223 (1976) MathSciNetCrossRefGoogle Scholar
  6. 6.
    F. Corinto, A. Ascoli, M. Gilli, Nonlinear dynamics of memristor oscillators. IEEE Trans. Circuits Syst. I 56(6), 1323–1336 (2010) MathSciNetGoogle Scholar
  7. 7.
    J. Craninckx, M. Steyaert, A fully integrated CMOS DCS-1800 frequency synthesizer. IEEE J. Solid-State Circuits 33(12), 2054–2065 (1998) CrossRefGoogle Scholar
  8. 8.
    F. Gardner, Phase Lock Techniques (Wiley, New York, 1979) Google Scholar
  9. 9.
    F. Gardner, Charge pump phase-lock loops. IEEE Trans. Commun. 28(11), 1849–1858 (1980) CrossRefGoogle Scholar
  10. 10.
    Y. Ho, G.M. Huang, P. Li, Dynamical properties and design analysis for nonvolatile memristor memories. IEEE Trans. Circuits Syst. I 58(4), 724–736 (2011) MathSciNetCrossRefGoogle Scholar
  11. 11.
    M. Itoh, L.O. Chua, Memristor oscillators. Int. J. Bifurc. Chaos 18(11), 3183–3206 (2008) MathSciNetzbMATHCrossRefGoogle Scholar
  12. 12.
    J. Lee, B. Kim, A low-noise fast lock phase locked loop with adaptive bandwidth control. IEEE J. Solid-State Circuits 35(8), 1137–1145 (2000) CrossRefGoogle Scholar
  13. 13.
    B. Muthuswamy, Implementing memristor based chaotic circuits. Int. J. Bifurc. Chaos 20(5), 1335–1350 (2010) zbMATHCrossRefGoogle Scholar
  14. 14.
    S. Milicevic, L. MacEachern, A phase-frequency detector and a charge pump design for PLL applications, in Proceedings of IEEE International Symposium on Circuits and Systems (2008), pp. 1532–1535 Google Scholar
  15. 15.
    Y.V. Persin, M.Di. Ventra, Experimental demonstration of associative memory with memristive. Neural Netw. arXiv:0905.2935
  16. 16.
    H. Rategh, H. Samavati, T. Lee, A CMOS frequency synthesizer with an injection-locked frequency divider for a 5-GHz wireless LAN receiver. IEEE J. Solid-State Circuits 35(5), 780–787 (2000) CrossRefGoogle Scholar
  17. 17.
    T. Rapinoja, K. Stadius, K. Halonen, Behavioral model based simulation methods for charge-pump PLL’s, in Proceedings of IEEE International Baltic Electronics Conference (2006), pp. 1–4 Google Scholar
  18. 18.
    D.B. Strukov, G.S. Snider, G.R. Stewart, R.S. Williams, The missing memristor found. Nature 453, 80–83 (2008) CrossRefGoogle Scholar
  19. 19.
    C.Y. Yang, S.I. Liu, Fast-synthesizer frequency. Synthesizer with a discriminator-aided phase detector. IEEE J. Solid-State Circuits 35(10), 1445–1452 (2000) CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Yi-Bo Zhao
    • 1
    Email author
  • Chi-Kong Tse
    • 2
  • Jiu-Chao Feng
    • 3
  • Ye-Cai Guo
    • 1
  1. 1.Jiangsu Key Laboratory of Meteorological Observation and Information ProcessingNanjing University of Information Science & TechnologyNanjingChina
  2. 2.Department of Electronic and Information EngineeringHong Kong Polytechnic UniversityHunghomChina
  3. 3.School of Electronic and Information EngineeringSouth China University of TechnologyGuangzhouChina

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