If there exist several linear events in a data set, the zeros which were found by the prediction-error filter would locate along the dips in the spectrum. If we know the dips of the events, therefore, we can simulate the prediction-error filter by putting zeros along the dips in the spectrum.
Suppose we have N plane waves and each dip is pj, j=1,...,N, respectively. For each frequency , then, N zeros along the wavenumber are determined as follows :
and the corresponding zeros are
From those zeros, the prediction-error filter for each is determined in the form of the Z transform like