Title :
Analytical Analysis of Bayesian CramÉr–Rao Bound for Dynamical Rayleigh Channel Complex Gains Estimation in OFDM System
Author :
Hijazi, Hussein ; Ros, Laurent
Author_Institution :
Image & Signal Dept., GIPSA Lab., Grenoble
fDate :
5/1/2009 12:00:00 AM
Abstract :
In this paper, we consider the Bayesian Cramer-Rao bound (BCRB) for the dynamical estimation of multipath Rayleigh channel complex gains in data-aided (DA) and non-data-aided (NDA) OFDM systems. This bound is derived in an online and offline 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 some past and future observations in terms of Doppler spread for the complex gains estimation.
Keywords :
Bayes methods; OFDM modulation; Rayleigh channels; channel estimation; mobile communication; time-varying channels; Bayesian Cramer-Rao bound; closed-form expression; data-aided OFDM system; dynamical Rayleigh channel complex gains estimation; mobile communication systems; multipath Rayleigh channel complex gain; nondata-aided OFDM system; orthogonal-frequency-division multiplexing; time-invariant complex gain; time-varying complex gain; Bayesian CramÉr–Rao bound; OFDM; Rayleigh complex gains;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2009.2014264