Analytical Analysis of Bayesian Cramer-Rao Bound for Dynamical Rayleigh Channel Complex Gains Estimation in OFDM System

Hussein Hijazi (1) , Laurent Ros (1)

1 GIPSA-C2S - GIPSA - Communication, Signal et Sécurité

In this paper, we consider the Bayesian Cramer- Rao bound (BCRB) for the dynamical estimation of multi-path Rayleigh channel complex gains in data-aided (DA) and nondata-aided (NDA) OFDM systems. This bound is derived in an on-line and off-line scenarios for time-invariant and time-varying complex gains within one OFDM symbol, assuming the availability of prior information. In NDA context, whereas this true BCRB is hard to evaluate, we present a closed-form expression of a BCRB, i.e., the Asymptotic BCRB (ABCRB) or the Modified BCRB (MBCRB). We discuss, based on the theoretical and simulation results, the interest of using somepast and future observations in terms of Doppler spread for the complex gains estimation.

Mots clés: Bayesian Cramer-Rao Bound; OFDM; Rayleigh complex gains

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Hussein Hijazi, Laurent Ros. Analytical Analysis of Bayesian Cramer-Rao Bound for Dynamical Rayleigh Channel Complex Gains Estimation in OFDM System. IEEE Transactions on Signal Processing, 2009, 57 (5), pp.1889. ⟨10.1109/TSP.2009.2014264⟩. ⟨hal-00368687⟩