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Frequency estimation in slowly fading multipath channels

Baronkin, V.M., Zakharov, Y.V. and Tozer, T.C. (2002) Frequency estimation in slowly fading multipath channels. IEEE Transactions on Communications, 50 (11). pp. 1848-1859. ISSN 0090-6778

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This paper concerns the estimation of a frequency offset of a known (pilot) signal propagated through a slowly fading multipath channel, such that channel parameters are considered to he constant over the observation interval. We derive a maximum-likelihood (ML) frequency estimation algorithm for additive Gaussian noise and path amplitudes having complex Gaussian distribution when covariance matrices of the fading and noise are known; we consider in detail the algorithm for the white noise and Rayleigh fading, in particular, for independent fading of path amplitudes and pilot signals with diagonal autocorrelation matrices. For the latter scenario, we also derive an ML frequency estimator when the power delay profile is unknown, but the noise variance and bounds for the path amplitude variances are specified; in particular, this algorithm can be used when path delays and amplitude variances are unknown. Finally, we consider frequency estimators which do not use a priori information about the noise variance; these algorithms are also operable without timing synchronization. All the frequency estimators exploit the multipath diversity by combining periodograms of multipath signal components and searching for the maximum of the combined statistic. For implementation of the algorithms, we use a fast Fourier transform-based coarse search and fine dichotomous search. We perform simulations to compare the algorithms. The simulation results demonstrate high accuracy performance of the proposed frequency estimators in wide signal-to-noise ratio and frequency acquisition range.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Electronics (York)
Depositing User: York RAE Import
Date Deposited: 06 Aug 2009 14:06
Last Modified: 06 Aug 2009 14:06
Published Version: http://dx.doi.org/10.1109/TCOMM.2002.805275
Status: Published
Publisher: IEEE Institute of Electrical and Electronics
Identification Number: 10.1109/TCOMM.2002.805275
URI: http://eprints.whiterose.ac.uk/id/eprint/6193

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