Blind, carrier, frequency offset estimation for noncircular constellation-based transmissions

Ciblat, P.;Vandendorpe, Luc
(2003) IEEE Transactions on Signal Processing — Vol. 51, n° 5, p. 1378-1389 (2003)

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Abstract
We address the problem of nondata aided frequency offset estimation for noncircular transmissions over frequency-selective channels in a linear precoder-based communications context. Linear precoding is representative of a downlink direct-sequence code division multiple access (DS-CDMA) system or of an orthogonal frequency division multiplexing (OFDM) system. We observe that twice the frequency offset is a cyclic frequency of the received signal. We thus introduce an estimator relying on the maximization of the empirical cyclocorrelations. We analyze its asymptotic behavior and obtain a closed-form expression for the asymptotic covariance. This enables us to design relevant system parameters. Numerical illustrations are provided and confirm our theoretical assertions. Comparisons with existing methods are also, reported.
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Ciblat, P., & Vandendorpe, L. (2003). Blind, carrier, frequency offset estimation for noncircular constellation-based transmissions. IEEE Transactions on Signal Processing, 51(5), 1378-1389. https://doi.org/10.1109/TSP.2003.810287 (Original work published 2003)