Analytical analysis of Bayesian Cramér-Rao bound for dynamical rayleigh channel complex gains estimation in OFDM system

  • Authors:
  • Hussein Hijazi;Laurent Ros

  • Affiliations:
  • GIPSA Lab, Image and Signal Department, Saint Martin d'Héres, Grenoble, France;GIPSA Lab, Image and Signal Department, Saint Martin d'Héres, Grenoble, France

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 2009

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Abstract

In this paper, we consider the Bayesian Cramér-Rao bound (BCRB) for the dynamical estimation of mnltipath 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.