In a first example, we applied the method to deconvolution on the helix Claerbout (1997) using the factors obtained with the Wilson-Burg spectral factorization. We take the auto-correlation to be the negative of the Laplacian operator, and convolve it with a spike placed in the middle of each panel in Figure 3. We use the Wilson-Burg method to find the wavelet with this auto-correlation and then deconvolve (do polynomial division) on the helix to find back the input spike.
In another example, we analyzed the rate of convergence of the Wilson-Burg method. We selected a simple polynomial which is the cross-correlation of two triangle functions,