Abstract
Data detection burst mode systems requires that an accurate frequency of oscillator instabilities and doppler frequency be formed using the preamble. Current techniques manipulate the preamble's autocorrelation smaples to form the frequency estimate. In this paper we present a new estimator which uses the average of the product of adjacent autocorrelation samples. The algorithm has a feedforward structure which is easy to implement and a wide frequency acquisition range. The frequency estimate is unbiased and asymptotically reaches the Cramer Raó bound (CRB). From the derivation of the variance we calculate optimum weights using constrained optimisation. Implementation issues suggest it is possible to use a sub-optimal number of autocorrelation samples. Simulation results show that the corresponding sub-optimum weights have little effect on performance. Finally, the estimator's performance is compared to alternative techniques in the literature.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S.M. Kay, Modern Spectral Estimation, Prentice-Hall Inc., Englewood Cliffs, NJ, 1988.
S.M. Kay, “A Fast and Accurate Single Frequency Estimator,” IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. 37, pp. 1987–1990, December 1989.
S. Tretter, “Estimating the Frequency of a Noisy Sinusoid by Linear Regression,” IEEE Transactions on Information Theory, Vol. 37, pp. 954–961, November 1985.
G.W. Lank, I.S. Reed and G.E. Pollen, “A Semicoherent Detection and Doppler Estimation Statistic,” IEEE Transactions on Aerospace and Electronic Systems, Vol. AES- 9, pp. 151–165, March 1973.
M.P. Fitz, “Planar Filtered Techniques for Burst Mode Carrier Synchronization,” in Conference Record of Globecom '91, Phoenix, USA, pp. 12.1.1–12.1.5, December 1991.
M.P. Fitz, “Further Results in the Fast Estimation of a Single Frequency,” IEEE Transactions on Communications, Vol. 42, No.2/3/4, pp. 862–864, February/March/April 1994.
M. Luise and R. Reggiannini, “Carrier Frequency Recovery in All-Digital Modems for Burst Mode Transmissions,” IEEE Transactions on Communications, Vol. COM- 4, No.2/3/4, pp. 1169–1178, March 1995.
F. Classen, H. Meyr and P. Sehier, “Maximum Likelihood Open Loop Carrier Recovery for Digital Radio,” in Conference Record of the International Conference on Communications, pp. 493–497, Geneva, Switzerland, May 1993.
U. Mengali and M. Morelli, “DataAided Frequency Estimation for Burst Digital Transmission,” in International Symposium on Synchronisation, Prof. Han Vinck (ed.), Essen, Germany, 14- 15 December 1995.
S.M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory, PrenticeHall Inc., 1993.
D.C. Rife and R.R. Boorstyn, “Single Tone Parameter Estimation from Discrete-Time Observations.” IEEE Transactions on Information Theory, Vol. IT- 20, No.5, pp. 591–598, September 1974.
T.S. Rappaport, Wireless Communications: Principles and Practice, IEEE Press, 1995.
S. Haykin, Adaptive Filter Theory, Prentice-Hall International, 2nd edition, 1991.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
O'Shea, D., Verdin, D. & Tozer, T.C. Feedforward Data-Aided Frequency Estimator for Burst-Mode Digital Transmission. Wireless Personal Communications 8, 131–149 (1998). https://doi.org/10.1023/A:1008803209489
Issue Date:
DOI: https://doi.org/10.1023/A:1008803209489