Abstract
The major focus of this work deals with fast and efficient phase estimation in an additive white Gaussian noise environment, where the received signal is a function of both phase and frequency error (ΔΦ,Δ\(f \)). The paper proposes a modified version of the Viterbi and Viterbi phase estimator, and compares this modified version with the original. The comparison is performed in terms of two criteria – estimator variance and phase ambiguity resolution. Results suggest that the new estimator has a lower variance than the original technique when a frequency error is present. In addition, when the frequency is perfectly synchronized, the two estimators yield similar performances at moderate to high levels of signal-to-noise ratios. Phase ambiguity resolution by unique word preambles is also investigated. Although the new estimator requires additional processing to resolve ambiguity, its probability of resolution error is shown to be almost the same as for the V & V estimator.
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References
F.M. Gardner, Phaselock Techniques, New York: John Wiley and Sons, 1979.
F.M. Gardner, “Hangup in phase-lock loops,” IEEE Transactions on Communications, Vol. COM-25, No. 10, pp. 1210–1214, 1977.
I. Richer, “A block phase estimator for offset-QPSK signalling,” National Telecommunications Conference Record, IEEE Catalogue Number 75CH1015–7, pp. 30–6 to 30–11, December 1–3, 1975.
F.M. Gardner, “Demodulator reference recovery techniques suited for digital implementation,” Final Report to ESTEC Contract 6847/86/NL/DG, 1988.
A.J. Viterbi and A.M. Viterbi, “Nonlinear estimation of PSK-modulated carrier phase with application to burst digital transmission,” IEEE Transactions in Information Theory, Vol. IT-29. No. 4, pp. 543–551, 1983.
M.P. Fitz, “Equivocation in nonlinear digital carrier synchronizers,” IEEE Transactions on Communications, Vol. 39, No. 11, pp. 1672–1682, 1991.
B. Paden, “A matched nonlinearity for phase estimation of a PSK-modulated carrier,” IEEE Transactions in Information Theory, Vol. IT-32. No. 3, pp. 419–422, 1986.
R.A. Harris and M. Yarwood, “Carrier recovery and inter-burst interference in a symbol-synchronous TDMA system,” International Journal of Satellite Communications, Vol. 9, pp. 197–208, 1991.
P. Sanders and M. Moeneclaey, “Performance of digital feedforward carrier synchronisers for M-PSK,” Electronics Letters, Vol. 25, No. 1, pp. 53–54, 1989.
T. Jesupret, M. Moeneclaey, and G. Ascheid, “Digital demodulator synchronization: performance analysis,” Final Report to ESTEC Contract 8437/89/NL/RE, 1991.
D.C. Rife and R.R. Boorstyn, “Single-tone parameter estimation from discrete-time observations,” IEEE Transactions in Information Theory, Vol. IT-20. No. 5, pp. 591–598, 1974.
A. Papoulis, Probability, Random Variables, and Stochastic Processes, New York: McGraw-Hill Book Company, 1991.
R. Di Girolamo, “Fast and efficient carrier synchronization for burst-mode communications,” M. of Applied Science Thesis, Concordia University, 1993.
R. Walpole and R. Myers, Probability and Statistics for Engineers and Scientists, New York: Macmillan Publishing Company, 1989.
H.L. Van Trees, Detection, Estimation, and Modulation Theory, Volume 1, New York: John Wiley and Sons, 1968.
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Di Girolamo, R., Le-Ngoc, T. Frequency Independent Nonlinear Feedforward Phase Estimator. Wireless Personal Communications 5, 19–50 (1997). https://doi.org/10.1023/A:1008818819898
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DOI: https://doi.org/10.1023/A:1008818819898