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Maximum Likelihood Timing and Carrier Synchronization in Burst-Mode Satellite Transmissions

Abstract

This paper investigates the joint maximum likelihood (ML) estimation of the carrier frequency offset, timing error, and carrier phase in burst-mode satellite transmissions over an AWGN channel. The synchronization process is assisted by a training sequence appended in front of each burst and composed of alternating binary symbols. The use of this particular pilot pattern results into an estimation algorithm of affordable complexity that operates in a decoupled fashion. In particular, the frequency offset is measured first and independently of the other parameters. Timing and phase estimates are subsequently computed through simple closed-form expressions. The performance of the proposed scheme is investigated by computer simulation and compared with Cramer-Rao bounds. It turns out that the estimation accuracy is very close to the theoretical limits up to relatively low signal-to-noise ratios. This makes the algorithm well suited for turbo-coded transmissions operating near the Shannon limit.

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References

  1. Mengali U, D'Andrea AN: Synchronization Techniques for Digital Receivers. Plenum Press, New York, NY, USA; 1997.

    Book  Google Scholar 

  2. Meyr H, Moeneclaey M, Fechtel S: Digital Communication Receivers: Synchronization, Channel Estimation, and Signal Processing. John Wiley & Sons, New York, NY, USA; 1997.

    Google Scholar 

  3. Mueller KH, Müller M: Timing recovery in digital synchronous data receivers. IEEE Transactions on Communications 1976,24(5):516-531. 10.1109/TCOM.1976.1093326

    MATH  Article  Google Scholar 

  4. Gardner FM: A BPSK/QPSK timing-error detector for sampled receivers. IEEE Transactions on Communications 1986,34(5):423-429. 10.1109/TCOM.1986.1096561

    Article  Google Scholar 

  5. D'Andrea AN, Luise M: Optimization of symbol timing recovery for QAM data demodulators. IEEE Transactions on Communications 1996,44(3):399-406. 10.1109/26.486334

    Article  Google Scholar 

  6. D'Amico AA, D'Andrea AN, Reggiannini R: Efficient non-data-aided carrier and clock recovery for satellite DVB at very low signal-to-noise ratios. IEEE Journal on Selected Areas in Communications 2001,19(12):2320-2330. 10.1109/49.974599

    Article  Google Scholar 

  7. Moeneclaey M, de Jonghe G: Tracking performance comparison of two feedforward ML-oriented carrier-independent NDA symbol synchronizers. IEEE Transactions on Communications 1992,40(9):1423-1425. 10.1109/26.163562

    Article  Google Scholar 

  8. Oerder M, Meyr H: Digital filter and square timing recovery. IEEE Transactions on Communications 1988,36(5):605-612. 10.1109/26.1476

    Article  Google Scholar 

  9. Panayirci E, Bar-Ness EK: A new approach for evaluating the performance of a symbol timing recovery system employing a general type of nonlinearity. IEEE Transactions on Communications 1996,44(1):29-33. 10.1109/26.476093

    Article  Google Scholar 

  10. Rife DC, Boorstyn RR: Single-tone parameter estimation from discrete-time observations. IEEE Transactions on Information Theory 1974,20(5):591-598. 10.1109/TIT.1974.1055282

    MATH  Article  Google Scholar 

  11. Hong D-K, Kang S-J: Joint frequency offset and carrier phase estimation for the return channel for digital video broadcasting. IEEE Transactions on Broadcasting 2005,51(4):543-550. 10.1109/TBC.2005.854171

    Article  Google Scholar 

  12. Fitz MP: Planar filtered techniques for burst mode carrier synchronization. Proceedings of IEEE Global Telecommunications Conference and Exhibition (GLOBECOM '91), December 1991, Phoenix, Ariz, USA 1: 365-369.

    Google Scholar 

  13. Lovell BC, Williamson RC: The statistical performance of some instantaneous frequency estimators. IEEE Transactions on Signal Processing 1992,40(7):1708-1723. 10.1109/78.143443

    MATH  Article  Google Scholar 

  14. Luise M, Reggiannini R: Carrier frequency recovery in all-digital modems for burst-mode transmissions. IEEE Transactions on Communications 1995,43(234):1169-1178.

    Article  Google Scholar 

  15. Mengali U, Morelli M: Data-aided frequency estimation for burst digital transmission. IEEE Transactions on Communications 1997,45(1):23-25. 10.1109/26.554282

    Article  Google Scholar 

  16. Fan Y, Chakravarthi P: Joint carrier phase and symbol timing synchronization for burst satellite communications. Proceedings of the 21st Century Military Communications Conference (MILCOM '00), October 2000, Los Angeles, Calif, USA 2: 1104-1108.

    Article  Google Scholar 

  17. Jiang Y, Sun F-W, Baras JS: On the performance limits of data-aided synchronization. IEEE Transactions on Information Theory 2003,49(1):191-203. 10.1109/TIT.2002.806156

    MATH  MathSciNet  Article  Google Scholar 

  18. Meyr H, Oerder M, Polydoros A: On sampling rate, analog prefiltering, and sufficient statistics for digital receivers. IEEE Transactions on Communications 1994,42(12):3208-3214. 10.1109/26.339842

    Article  Google Scholar 

  19. Benedetto S, Garello R, Montorsi G, et al.: MHOMS: high-speed ACM modem for satellite applications. IEEE Wireless Communications 2005,12(2):66-77. 10.1109/MWC.2005.1421930

    Article  Google Scholar 

  20. Kay SM: Fundamentals of Statistical Signal Processing: Estimation Theory. Prentice-Hall, Englewood Cliffs, NJ, USA; 1993.

    MATH  Google Scholar 

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Correspondence to Michele Morelli.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Morelli, M., D'Amico, A.A. Maximum Likelihood Timing and Carrier Synchronization in Burst-Mode Satellite Transmissions. J Wireless Com Network 2007, 065058 (2007). https://doi.org/10.1155/2007/65058

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  • DOI: https://doi.org/10.1155/2007/65058

Keywords

  • Estimation Algorithm
  • Carrier Frequency
  • Estimation Accuracy
  • Carrier Phase
  • Timing Error