Joint Phase and Frequency Offset Estimator for Short Burst MPSK Transmission with Preamble

  • Kim Seung-Geun (Maritime and Ocean Engineering Research Institute(MOERI)/KORDI) ;
  • Lim Young-Kon (Maritime and Ocean Engineering Research Institute(MOERI)/KORDI)
  • Published : 2005.12.01

Abstract

In this paper, a new data-aided joint phase and frequency estimator, which has very low computational complexity, is proposed and its variances of phase and frequency estimates are derived. To estimate the phase and frequency offset, first of all, the overall observation interval is divided into same length sub-intervals, and then phase estimates are independently computed based on symbols of the each sub-intervals. To be continue the sequence of computed phase estimates, proper integer multiples of $2{\pi}$ are added to (or subtracted from) the computed phase estimates, which is called linearized phase estimate. The phase offset of the proposed joint estimator is estimated by averaging the linearized phase estimates and the frequency offset by averaging the differences between consecutive linearized phase estimates. The variance of the proposed phase offset estimate is same to MCRB of phase if there is no frequency offset, but it is smaller than MCRB of phase if there is frequency offset. However, the variance of the proposed frequency offset estimate is bigger by at least 0.5 dB than MCRB of frequency with the same observation interval.

Keywords

References

  1. D. Kilfoyle and A. Baggeroer, 'The state of the art in underwater acoustic telemetry,' IEEE J. of Oceanic Eng., 25 (1), 4-27, Jan. 2000 https://doi.org/10.1109/48.820733
  2. M. Stojanovic, J. Catipovic, and J. Proakis, 'Phase-coherent digital communications for underwater acoustic channels,' IEEE J. of Oceanic Eng., 19 (1), 100-111, Jan. 1994 https://doi.org/10.1109/48.289455
  3. Yong-Kon Lim, et al., Feasibility Study on the Development of an Underwater Acoustic Mobile Communication Network, (Technical Report, UCM00480-2427, KORDI, Mar. 2003)
  4. U. Mengali and A. N. D'Andrea, Synchronization Techniques for Digital Receivers, (Plenum Press, 1997)
  5. S. Kay, 'A fast and accurate single frequency estimator,' IEEE Trans. Acoust Speech, Signal Processing, ASSP-37, 12, 1987-1990, Dec. 1989
  6. M. P, Fitz, 'Planar filtered techniques for burst mode carrier synchronization,' Proc. of GLOBECOM, paper 12.1, Dec. 1991
  7. B. Lovell and R. Williamson, 'The statistical performance of some instantaneous frequency estimators,' IEEE Trans. Acoust., Speech, Signal Processing, ASSP-40, 1708-1723, July 1992
  8. M. Luise and R. Reggiannini, 'Carrier frequency recovery in all-digital modems for burst-mode transmission,' IEEE Trans. Comrnun., 43, (2/3/4), 1169-1178, Feb./Mar/Apr. 1995 https://doi.org/10.1109/26.380149
  9. U. Mengali and M. Morelli, 'Data-aided frequency estimation for burst digital transmission,' IEEE Trans. on Comrnun, 45 (1), 23-25, Jan. 1997 https://doi.org/10.1109/26.554282
  10. A. Milewski, 'Periodic sequences with optimal properties for channel estimation and fast start-up equalization,' IBM J. RES. Develop, 27 (5),426-431, sec. 1983
  11. H. Steendam and M. Moeneclaey, 'Low-SNR limit of the Cramer-Rao bound for estimating the carrier phase and frequency of a PAM, PSK, or QAM waveform,' IEEE Trans. on Commun. Letters, 5 (5), 218-220, May 2001 https://doi.org/10.1109/4234.922765