Near the Cramér-Rao bound precoding algorithms for OFDM blind channel estimation

The authors present a blind channel estimation of cyclic prefix (CP) orthogonal frequency-division multiplexing (OFDM) systems with nonredundant precoding based on secondorder statistics. The study analyzes first the mean square error for the estimation of the covariance matrix of the received symbo...

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Bibliographic Details
Authors: Simois Tirado, Francisco José, Murillo Fuentes, Juan José, Boloix Tortosa, Rafael, Salamanca, Luis
Format: article
Status:Versión aceptada para publicación
Publication Date:2012
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/162973
Online Access:https://hdl.handle.net/11441/162973
https://doi.org/10.1109/TVT.2011.2177872
Access Level:Open access
Keyword:Blind channel estimation
Cramér-Rao bound (CRB)
Cyclic prefix (CP)
Nonredundant precoding
Orthogonal frequency-division multiplexing (OFDM)
Variance of the estimation of a covariance matrix
Description
Summary:The authors present a blind channel estimation of cyclic prefix (CP) orthogonal frequency-division multiplexing (OFDM) systems with nonredundant precoding based on secondorder statistics. The study analyzes first the mean square error for the estimation of the covariance matrix of the received symbols. We prove that, for high and medium signal-to-noise ratios (SNRs), the estimation error in the diagonal entries of the covariance matrix exhibits a lower error than that in the off-diagonal elements. This behavior holds for SNR values in digital communication. Contrary to general belief, we prove that the diagonal of this matrix can be used for channel estimation. Hence, we develop a novel algorithm that utilizes this result. We also develop a low-complexity version that provides acceptable results with reduced computational requirements. Finally, we analyze the covariance matrix and propose another new algorithm with noise suppression capabilities. Some experimental results for Rayleigh channels are included to support these conclusions. In addition, they illustrate better performance of the new methods, compared with previous proposals and with the Cramér-Rao bound (CRB).