Performance Analysis of the Blind Minimum Output Variance Estimator for Carrier Frequency Offset in OFDM Systems

  • Feng YangEmail author
  • Kwok H Li
  • Kah C Teh
Open Access
Research Article


Carrier frequency offset (CFO) is a serious drawback in orthogonal frequency division multiplexing (OFDM) systems. It must be estimated and compensated before demodulation to guarantee the system performance. In this paper, we examine the performance of a blind minimum output variance (MOV) estimator. Based on the derived probability density function (PDF) of the output magnitude, its mean and variance are obtained and it is observed that the variance reaches the minimum when there is no frequency offset. This observation motivates the development of the proposed MOV estimator. The theoretical mean-square error (MSE) of the MOV estimator over an AWGN channel is obtained. The analytical results are in good agreement with the simulation results. The performance evaluation of the MOV estimator is extended to a frequency-selective fading channel and the maximal-ratio combining (MRC) technique is applied to enhance the MOV estimator's performance. Simulation results show that the MRC technique significantly improves the accuracy of the MOV estimator.


System Performance Information Technology Performance Evaluation Performance Analysis Probability Density Function 


  1. 1.
    Standard ET: Radio broadcast systems; digital audio broadcasting (DAB) to mobile, portable, and fixed receivers. Tech. Rep. preETS 300 401 March 1994.Google Scholar
  2. 2.
    Reimers U: DVB-T: the COFDM-based system for terrestrial television. Electronics & Communications Engineering Journal 1995, 9(1):28–32.CrossRefGoogle Scholar
  3. 3.
    Khun-Jush J, Schramm P, Wachsmann U, Wenger F: Structure and performance of the HIPERLAN/2 physical layer. Proceedings of IEEE Vehicular Technology Conference (VTC '99), September 1999, Amsterdam, The Netherlands 5: 2667–2671.Google Scholar
  4. 4.
    IEEE Std. 802.11a : Wireless LAN medium access control (MAC) and physical layer (PHY) specifications: High-speed physical layer extension in the 5-GHz band. IEEE, 1999Google Scholar
  5. 5.
    Air Interface for Fixed Broad-Band Wireless Access Systems. Part A: Systems Between 2–11 GHz July 2001. IEEE 802.16ab-01/01 Std., Rev. 1Google Scholar
  6. 6.
    Pollet T, Van Bladel M, Moeneclaey M: BER sensitivity of OFDM systems to carrier frequency offset and Wiener phase noise. IEEE Transactions on Communications 1995, 43(234):191–193.CrossRefGoogle Scholar
  7. 7.
    Moose PH: A technique for orthogonal frequency division multiplexing frequency offset correction. IEEE Transactions on Communications 1994, 42(10):2908–2914. 10.1109/26.328961CrossRefGoogle Scholar
  8. 8.
    Schmidl TM, Cox DC: Robust frequency and timing synchronization for OFDM. IEEE Transactions on Communications 1997, 45(12):1613–1621. 10.1109/26.650240CrossRefGoogle Scholar
  9. 9.
    van de Beek JJ, Sandell M, Borjesson PO: ML estimation of time and frequency offset in OFDM systems. IEEE Transactions on Signal Processing 1997, 45(7):1800–1805. 10.1109/78.599949CrossRefGoogle Scholar
  10. 10.
    Luise M, Marselli M, Reggiannini R: Low-complexity blind carrier frequency recovery for OFDM signals over frequency-selective radio channels. IEEE Transactions on Communications 2002, 50(7):1182–1188. 10.1109/TCOMM.2002.800819CrossRefGoogle Scholar
  11. 11.
    Tureli U, Liu H, Zoltowski D: OFDM blind carrier offset estimation: ESPRIT. IEEE Transactions on Communications 2000, 48(9):1459–1461. 10.1109/26.870011CrossRefGoogle Scholar
  12. 12.
    Tureli U, Kivanc D, Liu H: Experimental and analytical studies on a high-resolution OFDM carrier frequency offset estimator. IEEE Transactions on Vehicular Technology 2001, 50(2):629–643. 10.1109/25.923074CrossRefGoogle Scholar
  13. 13.
    Yang F, Li KH, Teh KC: A carrier frequency offset estimator with minimum output variance for OFDM systems. IEEE Communications Letters 2004, 8(11):677–679. 10.1109/LCOMM.2004.837634CrossRefGoogle Scholar
  14. 14.
    Linnartz J-P: Performance analysis of synchronous MC-CDMA in mobile Rayleigh channel with both delay and Doppler spreads. IEEE Transactions on Vehicular Technology 2001, 50(6):1375–1387. 10.1109/25.966570CrossRefGoogle Scholar
  15. 15.
    Jakes WC: Microwave Mobile Communications. John Wiley & Sons, New York, NY, USA; 1978. new edition, 1994Google Scholar
  16. 16.
    Russell M, Stuber GL: Interchannel interference analysis of OFDM in a mobile environment. Proceedings of IEEE Vehicular Technology Conference (VTC '95), July 1995, Chicago, Ill, USA 2: 820–824.Google Scholar
  17. 17.
    Armstrong J: Analysis of new and existing methods of reducing intercarrier interference due to carrier frequency offset in OFDM. IEEE Transactions on Communications 1999, 47(3):365–369. 10.1109/26.752816CrossRefGoogle Scholar
  18. 18.
    Papoulis A, Pillai SU: Probability, Random Variables and Stochastic Processes. 4th edition. McGraw-Hill, New York, NY, USA; 2002.Google Scholar
  19. 19.
    Yee N, Linnartz J-P, Fettweis G: Multi-carrier CDMA in indoor wireless radio networks. Proceedings the 4th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC '93), September 1993, Yokohama, Japan 109–113.Google Scholar
  20. 20.
    Proakis JG: Digital Communications. 4th edition. McGraw-Hill, New York, NY, USA; 2001.zbMATHGoogle Scholar
  21. 21.
    Hara S, Prasad R: Design and performance of multicarrier CDMA system in frequency-selective Rayleigh fading channels. IEEE Transactions on Vehicular Technology 1999, 48(5):1584–1595. 10.1109/25.790535CrossRefGoogle Scholar

Copyright information

© Yang et al. 2006

Authors and Affiliations

  1. 1.School of Electrical and Electronic EngineeringNanyang Technological UniversitySingaporeSingapore

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