On the bit error probability of QAM modulation

  • Michael P. Fitz
  • James P. Seymour
Technical Papers


This paper presents some closed-form bit error probability expressions for coherent demodulation of both Gray coded and differentially decoded Gray coded QAM modulations in nonfading and frequency nonselective Rayleigh fading channels. These results demonstrate that as QAM constellation sizes get larger the BEP degradation due to differential encoding and decoding becomes negligible.

Key words

QAM modulation differential encoding Rayleigh fading 


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  1. 1.
    T. Noguchi, Y. Daido, and J. A. Nossek, Modulation techniques for microwave digital radio,IEEE Communications Magazine, pp. 21–30, October 1986.Google Scholar
  2. 2.
    J. K. Cavers, An analysis of pilot symbol assisted QPSK for digital mobile communications,IEEE Global Telecommunications Conference, San Diego, pp. 507A.3.1–6, 1990.Google Scholar
  3. 3.
    S. Sampei and T. Sunaga, Rayleigh fading compensation QAM in land mobile radio communications,IEEE Transactions on Vehicular Technology, Vol. VT-42, pp. 137–147, 1993.Google Scholar
  4. 4.
    M. P. Fitz, Further results in the unified analysis of digital communication systems,IEEE Transactions on Communications, Vol. COM-40, pp. 521–532, 1992.Google Scholar
  5. 5.
    J. G. Proakis,Digital Communications, McGraw-Hill, New York, 1989.Google Scholar
  6. 6.
    J. Spilker,Digital Communications by Satellite, Prentice-Hall, Englewood Cliffs, NJ, 1977.Google Scholar
  7. 7.
    M. L. Moher and J. H. Lodge, TCMP—a modulation and coding scheme for Rician fading channels,IEEE Journal of Selected Areas in Communication, Vol. SAC-7, pp. 1347–1355, 1989.Google Scholar
  8. 8.
    A. Aghamohammadi and H. Meyr, On the error probability of linearly modulated signals on Rayleigh frequency-flat fading channels,IEEE Transactions on Communications, Vol. COM-38, pp. 1966–1970, 1990.Google Scholar
  9. 9.
    S. Stein, Unified analysis of certain coherent and noncoherent binary communication systems,IEEE Transactions on Information Theory, Vol. IT-10, pp. 43–51, 1964.Google Scholar
  10. 10.
    J. K. Cavers, An analysis of pilot symbol assisted modulation for Rayleigh faded channels,IEEE Transactions on Vehicular Technology, Vol. VT-40, pp. 686–693, 1991.Google Scholar
  11. 11.
    M. Abramowitz and I. E. Stegun (eds).Handbook of Mathematical Functions, U.S. Department of Commerce, Washington, DC, 1972.Google Scholar
  12. 12.
    M. P. Fitz, A dual-tone reference digital demodulator for mobile digital communications,IEEE Transactions on Vehicular Technology, Vol. VT-42, pp. 156–165, 1993.Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • Michael P. Fitz
    • 1
  • James P. Seymour
    • 1
  1. 1.School of Electrical EngineeringPurdue UniversityWest Lafayette

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