We consider bandlimited linear channels with finite memory which is formally described by a polynomial g ( z) with integer Coefficients in the variable z that represents the unit delay operator. We present a signal processing method that operates on blocks of finite precision samples of the channel output. This signal processing method is a "softdecision" algebraic decoder that operates in real truncated padic arithmetic in which computations are exact i.e. there is no no round-off error. It furthermore lends itself to an efficient digital implementation whose complexity is a linear function of the memory size.
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