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This paper considers the problem of intersymbol interference in a binary communication system and the optimization of a class of linear receivers to minimize the effects of this interference. The class of correlation receivers is chosen for investigation, and maximizing the probability of correct reception is used as the performance criterion. The optimum decision level as well as optimum impulse response is determined for receivers with and without memory where a priori knowledge of the channel characteristics are available. The performances of these receivers are evaluated and compared with nonoptimum linear receivers.