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Algorithmes de poursuite pour l'estimation de canal radio-mobile et performances asymptotiques: applications pour les systèmes OFDM

Huaqiang Shu 1 
1 TELICE - IEMN - Télécommunication, Interférences et Compatibilité Electromagnétique - IEMN
IEMN - Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520
Abstract : Channel Estimation is a crucial task of the receiver in wireless communication systems, especially in case of mobility where the channel parameters vary with time. In this thesis, a novel third-order tracking loop estimator (RW3-CATL), which is similar to the phase-locked loop (PLL) with low complexity structure was first proposed to estimate complex amplitude of the channel in the single-path single-carrier scenario. The connection between a steady-state Kalman filter based on a random walk approximation model (RW3-KF) and the proposed estimator is established. The sub-optimal parameters and the corresponding MSE of the RW3-CATL are given in closed-form expressions in function of the tracking loop parameters. The sub-optimal parameters and the corresponding MSE of the RW3-CATL are given in closed-form expressions in function of the tracking loop parameters. Then, the asymptotic performance of the RW3-KF has been analysed by solving the Riccati equations. The closed-form expression of the optimal state noise variance which minimises the asymptotic MSE is also derived. For multi-carrier multi-path systems such as OFDM systems, the RW3-CATL is extended to a vector loop (RW3-LS-CATL). This loop retains the structure as the RW3-CATL in the single-path single-carrier scenario, but a suitable vector error signal is re-designed from an LS estimator of the path complex amplitudes, based on the current OFDM symbol pilots and the a priori knowledge of the path delays. In this scenario, the Kalman filter, RW-KF, jointly estimates the complex amplitudes of the paths. It has a high complexity , and we do not have closed-form formulas for the parameter setting. To reduce the complexity , we propose a dimension-reduced filter obtained from an approximation of the original Kalman filter by exploiting the Woodbury identities, which deals with the complex amplitude of each path separately. The optimum parameter settings of this filter is deducted from the single-path single-carrier case. The performance of the low complexity filter, obtained by simulation, is almost the same as the original Kalman filter.
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https://theses.hal.science/tel-00918418
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Submitted on : Friday, December 13, 2013 - 3:17:41 PM
Last modification on : Tuesday, November 22, 2022 - 2:26:16 PM
Long-term archiving on: : Tuesday, March 18, 2014 - 12:40:30 PM

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  • HAL Id : tel-00918418, version 1

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Huaqiang Shu. Algorithmes de poursuite pour l'estimation de canal radio-mobile et performances asymptotiques: applications pour les systèmes OFDM. Traitement du signal et de l'image [eess.SP]. Université des Sciences et Technologie de Lille - Lille I, 2013. Français. ⟨NNT : ⟩. ⟨tel-00918418⟩

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