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The paper proposes a sequential Monte Carlo simulation method for equalizing a satellite communication channel. The main difficulties encountered are the nonlinear distortions due to the amplifier stage in the satellite. The aim of the method is to restore blindly the emitted message by considering a Bayesian approach. Thus, prior knowledge on the modeling of the nonlinearity is taken into account in the posterior distribution of the input sequence. Such a distribution is very difficult to study and thus motivates the implementation of Monte Carlo techniques. This approach makes it possible to solve the problem for a simplified model. The simulation scheme dealing with the complete transmission chain uses the method developed for the simplified model. Performance of the equalization algorithm is evaluated using bit error rate versus signal-to-noise ratio curves.