Turbo equalization for GMSK signaling over multipath channels

A novel receiver is derived for Gaussianminimum shift keying (GMSK) signals through a multipath channel. A nonlinear signal model is derived which avoids the linear approximation in the conventional finite impulse response(FIR) system model. A Bayesian equalizer based on the Gibbs sampler, a Markov chain Monte Carlo (MCMC) procedure, is developed for joint channel estimation and symbol detection, and finally, a Turbo equalizer structure is proposed for a coded GMSK system, in which the Bayesian equalizer successively refines its processing based on the information from the decoding stage, and vice versa.