Wavelet-based sequential Monte Carlo blind receivers in fading channels with unknown channel statistics

An adaptive Bayesian receiver for blind detection in flat-fading channels was developed in Chen et al. (2000), based on the sequential Monte Carlo methodology. That work is built on a parametric modelling of the fading process in the form of a state-space model, and assumes the knowledge of the second-order statistics of the fading channel. In this paper, we develop a nonparametric approach to the problem of blind detection in fading channels, without assuming any knowledge of the channel statistics. The basic idea is to decompose the fading process using a wavelet basis, and to use the sequential Monte Carlo technique to track both the wavelet coefficients and the transmitted symbols. A novel resampling-based wavelet shrinkage technique is proposed to dynamically choose the number of wavelet coefficients to best fit the fading process. Under such a framework, blind detectors for flat-fading channels are developed. Simulation results are provided to demonstrate the excellent performance of the proposed blind adaptive receivers.