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Cramér-Rao Bound for SAGE-based Residual Frequency Offset Estimation Algorithm in OFDM Systems

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Abstract

The Cramér-Rao bound (CRB) is a powerful tool in estimation theory as it gives a performance lower bound for parameter estimation problems. In this paper, a much tighter CRB for Lee’s residual frequency offset (RFO) estimation method (IEEE Transactions on Communications 54:765, 2006) is first given. The tighter low bound is obtained by considering the ICI that affects the performance of space-alternating generalized expectation-maximization (SAGE) based RFO estimator. It can be concluded that the performance of SAGE based RFO estimation method decreases as the normalized RFO increases and increases with the increasing of signal-to-noise (SNR). Simulation results show that the proposed CRB of SAGE based RFO estimator is extremely tight. It approximates closely the MSE performance obtained by Monte Carlo simulation.

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References

  1. Speth M., Fechtel S.A., Fock G., Meyr H. (1999) Optimum receiver design for wireless broadband systems using OFDM.I. IEEE Transactions on Communication 47: 1668–1677

    Article  Google Scholar 

  2. Daffara, F., & Adami, O. (1995). A new frequency detector for orthogonal multicarrier transmission techniques. In Proceedings in Vehicle Technology Conference (Vol. 2, pp. 804–809) (Jul. 1995).

  3. van de Beek J.J., Sandell M., Borjesson P.O. (1997) ML estimation of timing and frequency offset in OFDM systems. IEEE Transactions on Signal Processing 45: 1800–1805

    Article  MATH  Google Scholar 

  4. Schmidl T.M., Cox D.C. (1997) Robust frequency and timing synchronization for OFDM. IEEE Transaction on Communication 45: 1613–1621

    Article  Google Scholar 

  5. Coulson A.J. (2001) Maximum-likelihood synchronization for OFDM using a pilot symbol: Algorithm. IEEE Journal of Selected Areas Communication 19: 2486–2494

    Article  Google Scholar 

  6. Tufvesson, F., Edfors, O., & Faulkner, M. (1999). Time and frequency synchronization for OFDM using PN-sequence preamble. In Proceedings Vehicle Technology Conference, vol. 4, pp. 2203–2207.

  7. Wang X., Tjhung T.T., Wu Y., Caron B. (2003) SER performance evaluation and optimization of OFDM system with residual frequency and timing offsets form imperfect synchronization. IEEE Transaction Broadcasting 49: 170–177

    Article  Google Scholar 

  8. Lui H., Tureli U. (1998) A high efficient carrier estimator for OFDM communications. IEEE Communications Letters 2: 104–106

    Article  Google Scholar 

  9. Attallah S. (2004) Blind estimation of residual carrier offset in OFDM systems. IEEE Signal Processing Letters 11: 216–219

    Article  Google Scholar 

  10. Lee J.H., Kim S.C. (2006) Residual frequency offset compensation using the approximate SAGE algorithm for OFDM system. IEEE Transaction Communication 54: 765–769

    Article  Google Scholar 

  11. Schmidl T.M., Cox D.C. (1997) Robust Frequency and Timing Synchronization for OFDM. IEEE Transaction Communication 45: 1613–1621

    Article  Google Scholar 

  12. Ren G., Chang Y., Zhang H., Zhang H. (2005) Synchronization Method Based on a New Constant Envelop Preamble for OFDM Systems. IEEE Transaction Broadcasting 51: 139–143

    Article  Google Scholar 

  13. Proakis J.G. (2001) Digital communications, 4th ed. McGraw-Hill, New York

    Google Scholar 

  14. Kay S.M. (1993) Fundamentals of statistical signal processing, Volume I: Estimation Theory. Prentice Hall PTR, Englewood Cliffs, NJ

    Google Scholar 

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Correspondence to Kui Xu.

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Xu, K., Shen, YH. Cramér-Rao Bound for SAGE-based Residual Frequency Offset Estimation Algorithm in OFDM Systems. Wireless Pers Commun 51, 317–327 (2009). https://doi.org/10.1007/s11277-008-9645-4

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  • DOI: https://doi.org/10.1007/s11277-008-9645-4

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