# Translations:Digital prediction/23/en

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That is, the AR(2) impulse response is a weighted average of two geometric signals with the weights and given above. We want to feed into the causal prediction filter and obtain as output the advanced signal . As we stated above, *E*(*Z*) is the ratio of the one-sided *Z*-transform of the output over the one-sided *Z*-transform of the input. Of course, we know that the input Z-transform is *F*(*Z*). We can obtain symmetry in our expression for *E*(*Z*) if we write the input *Z*-transform *F*(*Z*) as