Translations:Prediction distance/4/en

A gap-deconvolution filter is a least-squares prediction-error filter with a prediction distance $\alpha$ greater than one (Chapter 10). The gap is equal to $\alpha -1$. For the spike filter, the gap is zero because $\alpha -1=1-1={0}$. The gap-deconvolution filter is equivalent (within a constant scale factor) to the shaping filter that shapes the minimum-phase wavelet into its head. The gap-deconvolution filter is equal to the convolution of the spike-deconvolution filter with the head. Convolution of the gap-deconvolution filter with the trace yields the gap-deconvolved trace. The gap-deconvolved trace equals the convolution of the spike-deconvolved trace with the head.