Error probability minimizing pilots for OFDM with M-PSK modulation over Rayleigh-fading channels

Xiaodong Cai, Georgios B. Giannakis

Research output: Contribution to journalArticlepeer-review

74 Scopus citations


Orthogonal frequency division multiplexing (OFDM) with pilot symbol assisted channel estimation is a promising technique for high rate transmissions over wireless frequency-selective fading channels. In this paper, we analyze the symbol error rate (SER) performance of OFDM with M-ary phase-shift keying (M-PSK) modulation over Rayleigh-fading channels, in the presence of channel estimation errors. Both least-squares error (LSE) and minimum mean-square error (MMSE) channel estimators are considered. For prescribed power, our analysis not only yields exact SER formulas, but also quantifies the performance loss due to channel estimation errors. We also optimize the number of pilot symbols, the placement of pilot symbols, and the power allocation between pilot and information symbols, to minimize this loss, and thereby minimize SER. Simulations corroborate our SER performance analysis, and numerical results are presented to illustrate our optimal claims.

Original languageEnglish (US)
Pages (from-to)146-155
Number of pages10
JournalIEEE Transactions on Vehicular Technology
Issue number1
StatePublished - Jan 2004

Bibliographical note

Funding Information:
Manuscript received May 20, 2003; revised September 23, 2003. This work was prepared through collaborative participation in the Communications and Networks Consortium sponsored by the U.S. Army Research Laboratory under the Collaborative Technology Alliance Program, Cooperative Agreement DAAD19-01-2-0011. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation thereon.


  • Channel estimation
  • Error probability
  • Orthogonal frequency division multiplexing (OFDM)
  • Pilots


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