Abstract
The Bayesian decision procedure is given to determine a finite sequence ofn m-ary(m \geq 2)digits that have been transmitted through a channel that has memory and introduces additive noise. Minimum probability of digit estimation error is used as the criterion of goodness. Intersymbol interference at the receiver input is assumed to exist betweenLsuccessive digits. The parameternis chosen so thatn \gg L. This procedure is compared with several suboptimal procedures that are used to combat intersymbol interference and additive noise.

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