Optimal data estimation system over multipath channel

We are interested in optimal linear estimation of signals transmitted over a noisy multipath channel. The impulse response of the channel is assumed known. The problem is similar to the telecommunication equalization problem. The optimal linear discrete causal and stable filter (a Wiener-type filter) is given ; different structures are studied and their performance calculated : i) a pure transversal structure, ii) a mixed recursive and transversal structure which is simple and well-adapted to the model of channel. Some results are exhibited. This last structure has been found robust enough versus an error on the channel estimated parameters.