Phase-Locked Loops

  • Jan W. M. Bergmans


The timing-recovery subsystem of the receiver determines the sampling instants that are used for data detection. Since these instants are discrete, any phase-locked-loop (PLL) that is embedded in the timing-recovery subsystem has fundamentally a discrete-time nature. Discrete-time PLLs have received relatively little attention in the literature (see [16] for an overview). Fortunately, their properties approach those of analog PLLs in many cases of practical interest, as we will see. This renders a range of books and review articles on analog PLLs relevant [3], [4], [8], [10], [14], [15], [20], [6], [18].


Power Spectral Density Phase Noise Phase Detector Loop Filter Loop Delay 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [1]
    E.V. Appleton, `Automatic Synchronization of Triode Oscillators’, Proc. Cambridge Phil. Soc., Vol. 21, p. 231, 1922–1923.Google Scholar
  2. [2]
    J.W.M. Bergmans, `Effect of Loop Delay on Stability of Discrete-Time PLL’, IEEE Trans. Circuits Syst.–I, Vol. CAS-42, No. 4, pp. 229–231, Apr. 1995.Google Scholar
  3. [3]
    R.E. Best, Phase-Locked Loops. New York: McGraw-Hill, 1984.Google Scholar
  4. [4]
    A. Blanchard, Phase-Locked Loops: Applications to Coherent Receiver Design. New York: John Wiley and Sons, 1976.Google Scholar
  5. [5]
    C.J. Byrne, B.J. Karafin, and D.B. Robinson, Jr., `Systematic Jitter in a Chain of Digital Repeaters’, Bell Syst. Tech. J., Vol. 42, pp. 2679–2714, Nov. 1963.Google Scholar
  6. [6]
    R.C. Den Dulk, An Approach to Systematic Phase-Lock Loop Design, Ph.D. Thesis, Delft University of Technology, The Netherlands, Nov. 1989.Google Scholar
  7. [7]
    A.W.M. van den Enden and N.A.M. Verhoeckx, Discrete-Time Signal Processing - An Introduction. Hertfordshire, U.K.: Prentice-Hall (UK) Ltd, 1989.Google Scholar
  8. [8]
    F.M. Gardner, Phaselock Techniques. New York: Wiley, 1966 (2nd ed. 1979 ).Google Scholar
  9. [9]
    S.W. Golomb, J.R. Davey, I.S. Reed, H.L. Van Trees and J.J. Stuffier, `Synchronization’, IEEE Trans. Communications Systems, Vol. CS-11, pp. 481–491, Dec. 1963.Google Scholar
  10. [10]
    S.C. Gupta, Phase-Locked Loops, Proc. IEEE, Vol. 63, No. 2, pp. 291–306, Feb. 1975.Google Scholar
  11. [11]
    Christiaan Huygens, Horologium Oscillatorum, 1673.Google Scholar
  12. [12]
    E.A. Lee and D.G. Messerschmitt, Digital Communication. Boston: Kluwer Academic Publishers, 1988.CrossRefGoogle Scholar
  13. [13]
    W.C. Lindsey and M.K. Simon (eds.), Phase-Locked Loops and their Applications. New York: IEEE Press, 1978.Google Scholar
  14. [14]
    W.C. Lindsey, Synchronization Systems in Communication and Control. Englewood Cliffs: Prentice-Hall, 1972.Google Scholar
  15. [15]
    W.C. Lindsey and M.K. Simon (Eds.), Phase-Locked Loops and Their Applications. New York: IEEE Press, 1978.Google Scholar
  16. [16]
    W.C. Lindsey and C.M. Chie, `A Survey of Digital Phase-Locked Loops’, Proc. IEEE, Vol. 69, No. 4, pp. 410–431, Apr. 1981.CrossRefGoogle Scholar
  17. [17]
    J.-Y. Lin and C.-H. Wei, `Fast Timing Recovery Scheme for Class IV Partial Response Channels’, Electron. Lett., Vol. 31, No. 3, pp. 159–161, Feb. 2, 1995.CrossRefGoogle Scholar
  18. [18]
    H. Meyr and G. Ascheid, Synchronization in Digital Communications - Volume I. New York: Wiley, 1990.Google Scholar
  19. [19]
    B. van der Pol, ‘Forced Oscillations in a Circuit with Nonlinear Resistance’, Phil.Mag., and Ire. of Science, 7th Series, Vol. 3, 1923.Google Scholar
  20. [20]
    A.J. Viterbi, Principles of Coherent Communications. New York: McGraw-Hill, 1966.Google Scholar
  21. [21]
    L.E.-Zegers, ’The Reduction of Systematic Jitter in a Transmission Chain with Digital Regenerators’, IEEE Trans. Commun., Vol. COM-15, pp. 542–551, Aug. 1967.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1996

Authors and Affiliations

  • Jan W. M. Bergmans
    • 1
  1. 1.Philips ResearchEindhovenThe Netherlands

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