Effect of sampling rate on the conjugate gradient method applied to signal extrapolation

A different response to changes in sampling rate has been observed for conjugate gradients as opposed to SVD (singular-value decomposition) applied to signal extrapolation. The conjugate gradient solution is described in terms of the SVD, which leads to an explanation of the behavior of the conjugate gradient method in this context. Formulating the conjugate gradient method as a spectral filtering method and analyzing it in terms of the spectral filter functions generated as the iteration progresses have made it possible to explain the difference in the effect of sampling rate changes on the conjugate gradients approach to signal extrapolation as compared to the truncated SVD approach discussed by Sullivan and Liu (1984)