Translations:Prediction-error filters/20/en

We now give an example of predictive deconvolution for a prediction distance of two. Figure 5a (left) shows the minimum-delay input, and Figure 5a (right) shows the desired output for a prediction distance of two. This desired output is the wavelet advanced by two time units to the left — that is, the first nonzero coefficient of the desired output occurs at negative time $n=-2$. Figure 5b (left) shows the two-distance prediction filter, and Figure 5b (right) shows the prediction. Note that the values for nonnegative times agree well with the desired output. On the other hand, the filter cannot reach values of the desired output for negative times. These values give the so-called unreachable prediction error, which for the case of prediction distance two is simply two spikes. Figure 5c (left) shows the unit-distance prediction-error filter, and Figure 5c (right) shows the difference between the desired output and the prediction. The output of the prediction-error filter is this difference delayed by two time units (i.e., by the prediction distance).