Translations:Prediction-error filters/5/en

The desired output of the prediction operator is the tail. Thus, theoretical prediction operator k is defined by the equation $k*b=t$. In terms of Z-transforms, this equation is $K\left(Z\right)B\left(Z\right)=T\left(Z\right)$. Solving for the theoretical prediction operator, we obtain $K\left(Z\right)=A\left(Z\right)T\left(Z\right)$, which gives $k=a*t$.