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Pilot-Symbol-Aided Channel Estimation in Time and Frequency

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Multi-Carrier Spread-Spectrum

Abstract

The potentials of pilot-symbol-aided channel estimation in two dimensions are explored for mobile radio and broadcasting applications. In order to procure this goal, the discrete shift-variant 2-D Wiener filter is analyzed given an arbitrary sampling grid, an arbitrary (but possibly optimized) selection of observations, and the possibility of model mismatch. Filtering in two dimensions is revealed to outperform filtering in just one dimension with respect to overhead, mean-square error performance and latency. Conceptually, the discrete shiftvariant 2-D Wiener filter is the optimal linear estimator for the given problem, however, two cascaded orthogonal 1-D filters are simpler to implement and virtually as good as true 2-D filters. Analytical results are presented, verified by Monte-Carlo simulations.

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References

  1. M.L. Moher and J.H. Lodge, “A time diversity modulation strategy for the satellite-mobile channel,” in Proc. 13th Biennial Symp. Commun., Queen’s Univ. Kingston, Canada, June 1986.

    Google Scholar 

  2. A. Aghamohammadi, H. Meyr, and G. Ascheid, “A new method for phase synchronization and automatic gain control of linearly modulated signals on frequency-flat fading channels,” IEEE Trans. Commun., vol. COM-39, pp. 25–29, Jan. 1991.

    Article  Google Scholar 

  3. J.K. Cavers, “An analysis of pilot symbol assisted modulation for Rayleigh fading channels,” IEEE Trans. Vehicular Techn., vol. VT-40, pp. 686–693, Nov. 1991.

    Google Scholar 

  4. S. Fechtel, “Verfahren und Algorithmen der robusten Synchronisation für die Datenübertragung über dispersive Schwundkanäle,” Ph.D. thesis, RWTH Aachen, Germany, 1993.

    Google Scholar 

  5. P. Schramm, “Modulationsverfahren für CDMA-Mobilkommunikationssysteme unter Berücksichtigung von Kanalcodierung und Kanalschätzung,” Ph.D. thesis, University of Erlangen-Nuremberg, Germany, 1996.

    Google Scholar 

  6. P. Hoeher, “TCM on frequency-selective land-mobile fading channels,” in Coded Modulation and Bandwidth-Efficient Transmission. Elsevier Science Publishers B.V., E. Biglieri and M. Luise (eds.), pp. 317–328, 1992.

    Google Scholar 

  7. F. Classen, M. Speth, and H. Meyr, “Channel estimation units for an OFDM system suitable for mobile communication,” in Proc. ITG Fachtagung Mobile Kommunikation, Neu-Ulm, Germany, Sept. 1995.

    Google Scholar 

  8. T. Mueller, K. Brueninghaus, and H. Rohling, “Performance of coherent OFDM-CDMA for broadband mobile communications,” Wireless Personal Communications, Klüver Academic Publishers, vol. 2, pp. 295–305, 1996.

    Article  Google Scholar 

  9. ETS 300 744 Standard, “Digital broadcasting systems for television, sound, and data services; Frame structure, channel coding and modulation for digital terrestrial broadcasting,” ETSI, 1996.

    Google Scholar 

  10. P. Frenger and A. Svensson, “A decision directed coherent detector for OFDM,” in Proc. Vehicular Techn. Conf.’ 96, Atlanta, Georgia, pp. 1584–1588, Apr.-May 1996.

    Google Scholar 

  11. P. Hoeher, S. Kaiser, and P. Robertson, “Two-dimensional pilot-symbol-aided channel estimation by Wiener filtering,” in Proc. IEEE WAS SP’ 97, Munich, Germany, pp. 1845–1848, Apr. 1997.

    Google Scholar 

  12. C.W. Helstrom, “Image restoration by the method of least squares,” J. Opt. Soc. Amer., vol. 57, pp. 297–303, Mar. 1967.

    Google Scholar 

  13. W.K. Pratt, “Generalized Wiener filtering computation techniques,” IEEE Trans. Computers, vol. C-21, no. 7, pp. 636–641, July 1972.

    Article  Google Scholar 

  14. M.P. Ekstrom, “Realizable Wiener filtering in two dimensions,” IEEE Trans. Acoust, Speech, Signal Proc, vol. ASSP-30, no. 2, pp. 31–40, Feb. 1982.

    Article  MathSciNet  Google Scholar 

  15. R.M. Mersereau and T.C. Speake, “The processing of periodically sampled multidimensional signals,” IEEE Trans. Acoust, Speech, Signal Proc, vol. ASSP-31, no. 2, pp. 188–194, Feb. 1983.

    Article  Google Scholar 

  16. P.A. Bello, “Characterization of randomly time variant linear channels,” IEEE Trans. Commun. Syst., vol. CS-11, pp. 360–393, Dec. 1963.

    Article  Google Scholar 

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© 1997 Springer Science+Business Media Dordrecht

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Hoeher, P., Kaiser, S., Robertson, P. (1997). Pilot-Symbol-Aided Channel Estimation in Time and Frequency. In: Fazel, K., Fettweis, G.P. (eds) Multi-Carrier Spread-Spectrum. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6231-3_20

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  • DOI: https://doi.org/10.1007/978-1-4615-6231-3_20

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7858-7

  • Online ISBN: 978-1-4615-6231-3

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