Chapter 7. Bit Error Rate Degradation Caused by Random Tracking Errors

  1. Heinrich Meyr,
  2. Marc Moeneclaey and
  3. Stefan A. Fechtel

Published Online: 9 OCT 2001

DOI: 10.1002/0471200573.ch7

Digital Communication Receivers: Synchronization, Channel Estimation, and Signal Processing

Digital Communication Receivers: Synchronization, Channel Estimation, and Signal Processing

How to Cite

Meyr, H., Moeneclaey, M. and Fechtel, S. A. (2001) Bit Error Rate Degradation Caused by Random Tracking Errors, in Digital Communication Receivers: Synchronization, Channel Estimation, and Signal Processing, John Wiley & Sons, Inc., New York, USA. doi: 10.1002/0471200573.ch7

Publication History

  1. Published Online: 9 OCT 2001

Book Series:

  1. Wiley Series in Telecommunications and Signal Processing

Book Series Editors:

  1. John G. Proakis

Series Editor Information

  1. Northeastern University

ISBN Information

Print ISBN: 9780471502753

Online ISBN: 9780471200574

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Keywords:

  • bit error rate (BER);
  • degradation;
  • random tracking errors;
  • symbols;
  • ML detection;
  • derivation;
  • approximate expression;
  • BER degradation;
  • signal constellations;
  • coded transmission

Summary

For coherent detection of digitally modulated signals, the receiver must be provided with accurate carrier phase and symbol timing estimates; these estimates are derived from the received signal itself by means of a synchronizer. The bit error rate (BER) performance under the assumption of perfect synchronization is well documented for various modulation formats. However, in practice the carrier phase and timing estimates exhibit small random fluctuations (jitter) about their optimum values; these fluctuations give rise to a BER degradation as compared to perfect synchronization. It is important to know this BER degradation in terms of the accuracy of the estimates provided by the synchronizer, so that the synchronizer can be designed to yield a target BER degradation (which should not exceed about 0.2 dB for most applications).

For various linear modulation formats (M-PSK, M-PAM, and M2-QAM) we evaluate the BER degradation caused by random carrier phase and timing errors. We show that the results also apply for the practically important case of coded transmission. For nonlinear modulation and coded transmission we refer to the bibliographical notes.