Timing Recovery with Linear Modulations

  • Umberto Mengali
  • Aldo N. D’Andrea
Part of the Applications of Communications Theory book series (ACTH)


In this chapter we address timing recovery with modulated PAM signals. For reasons that will soon be explained, the discussion is divided into several parts, depending on the specific modulation format and the operating conditions. For example, a distinction between non-offset and offset modulations is useful as different signal representations call for separate analyses and lead to different solutions. In the sequel we first discuss non-offset modulations and then consider offset QPSK modulation (OQPSK).


Timing Recovery Fading Channel Carrier Phase Tracking Performance Carrier Frequency Offset 
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  1. [1]
    F.M. Gardner, Demodulator Reference Recovery Techniques Suited for Digital Implementation, European Space Agency, Final Report, ESTEC Contract No. 6847/86/NL/DG, August, 1988.Google Scholar
  2. [2]
    H. Kobayashi, Simultaneous Adaptive Estimation and Decision Algorithm for Carrier Modulated Data Transmission Systems, IEEE Trans. Commun., COM-19, 268–280, June 1971.CrossRefGoogle Scholar
  3. [3]
    M.H. Meyers and L.E. Franks, Joint Carrier Phase and Symbol Timing Recovery for PAM Systems, IEEE Trans. Commun., COM-28, 1121–1129, Aug. 1980.CrossRefGoogle Scholar
  4. [4]
    W.C. Lindsey and M.K. Simon, Telecommunication Systems Engineering, Englewood Cliffs, NJ: Prentice Hall, 1972.Google Scholar
  5. [5]
    K.H. Mueller and M. Mueller, Timing Recovery in Digital Synchronous Data Receivers, IEEE Trans. Commun., COM-24, 516–531, May 1976.CrossRefGoogle Scholar
  6. [6]
    U. Mengali, Joint Phase and Timing Acquisition in Data Transmission, IEEE Trans. Commun., COM-25, 1174–1185, Oct. 1977.CrossRefGoogle Scholar
  7. [7]
    M.K. Simon and J.G. Smith, Carrier Synchronization and Detection of QASK Signal Sets, IEEE Trans. Commun., COM-22, 98–106, Feb. 1974.CrossRefGoogle Scholar
  8. [8]
    D.D. Falconer and J. Salz, Optimal Reception of Digital Data Over the Gaussian Channel with Unknown Delay and Phase Jitter, IEEE Trans. Inf. Theory, IT-23, 117–126, Jan. 1977.CrossRefGoogle Scholar
  9. [9]
    A. Papoulis, Probability, Random Variables, and Stochastic Processes, New York: McGraw-Hill, 1991.Google Scholar
  10. [10]
    F.M. Gardner, A BPSK/QPSK Timing-Error Detector for Sampled Receivers, IEEE Trans. Commun., COM-34, 423–429, May 1986.CrossRefGoogle Scholar
  11. [11]
    A.N. D’Andrea and M. Luise, Design and Analysis of Jitter-Free Clock Recovery Scheme for QAM Systems, IEEE Trans. Commun., COM-41, 1296–1299, Sept. 1993.CrossRefGoogle Scholar
  12. [12]
    A.N. D’Andrea and M. Luise, Optimization of Symbol Timing Recovery for QAM Data Demodulators, IEEE Trans. Commun., COM-44, 399–406, March 1996.CrossRefGoogle Scholar
  13. [13]
    M. Oerder and H. Meyr, Digital Filter and Square Timing Recovery, IEEE Trans. Commun., COM-36, 605–611, May 1988.CrossRefGoogle Scholar
  14. [14]
    P.A. Bello, Characterization of Randomly Time-Variant Linear Channels, IEEE Trans. Commun. Systems, 360-393, Dec. 1965.Google Scholar
  15. [15]
    J.G. Proakis, Digital Communications, New York: McGraw-Hill, 1983.Google Scholar
  16. [16]
    S. Stein, Fading Issues in System Engineering, IEEE J. Selec. Areas Commun., SAC-5, 68–89, Feb. 1987.CrossRefGoogle Scholar
  17. [17]
    K. Goethals and M. Moeneclaey, PSK Symbol Synchronization Performance of ML-Oriented Data-Aided Algorithms for Nonselective Fading Channels, IEEE Trans. Commun., COM-43, 767–772, Feb./March/April 1995.CrossRefGoogle Scholar
  18. [18]
    G.T. Irvine and P.J. McLane, Symbol-Aided plus Decision-Directed Reception for PSK/TCM Modulation on Shadowed Mobile Satellite Fading Channels, IEEE J. Select. Areas Commun., SAC-10, 1289–1299, Oct. 1992.CrossRefGoogle Scholar
  19. [19]
    A. Aghamohammadi, H. Meyr and G. Asheid, A New Method for Phase Synchronization and Automatic Gain Control of Linearly Modulated Signals on Frequency-Flat Fading Channels, IEEE Trans. Commun., COM-39, 25–29, Jan. 1991.CrossRefGoogle Scholar
  20. [20]
    A.N. D’Andrea, A. Diglio and U. Mengali, Symbol-Aided Channel Estimation with Nonselective Rayleigh Fading Channels, IEEE Trans. Vehic. Technol., VT-44, 41–49, Feb. 1995.CrossRefGoogle Scholar
  21. [21]
    G.M. Vitetta and D. Taylor, Maximum Likelihood Decoding of Uncoded and Coded PSK Signals Sequences Transmitted over Rayleigh Flat-Fading Channels, IEEE Trans. Commun., COM-43, 2750–2758, Nov. 1995.CrossRefGoogle Scholar
  22. [22]
    K. Goethals and M. Moeneclaey, Tracking Performance of ML-Oriented NDA Symbol Synchronizers for Nonselective Fading Channels, IEEE Trans. Commun., COM-43, 1179–1184, Feb./March/April 1995.CrossRefGoogle Scholar
  23. [23]
    A. Ginesi, Timing Synchronization for Transmissions over Frequency-Flat Fading Channels, Ph. D. Thesis (in Italian), Department of Information Engineering, University of Pisa, November 1997.Google Scholar
  24. [24]
    M. Moeneclaey, Synchronization Problems in PAM Systems, IEEE Trans. Commun., COM-28, 1130–1136, Aug. 1980.CrossRefGoogle Scholar
  25. [25]
    A. D’Amico, A.N. D’Andrea and U. Mengali, Feedforward Joint Phase and Timing Estimation with OQPSK Modulation, Submitted to IEEE Trans. Vehic. Technol., Oct. 1996.Google Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Umberto Mengali
    • 1
  • Aldo N. D’Andrea
    • 1
  1. 1.University of PisaPisaItaly

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