One-step band-pass signal extrapolation based on discrete samples in finite interval

The one-step extrapolation procedure for low-pass signal was extended to the band-pass case. Similar to the low-pass case, the band-pass signal segment was expanded based on a band-pass basis function set thus to restrict the solution set, then a basis of empirical orthogonal functions (EOFs) was adaptively generated from the sample values of this band-pass function set according to the length of the known signal segment and the sampling type. After the coefficients of the expansion were obtained, the extrapolation was done straightforwardly using the same expansion. Simulation was conducted to verify the effectiveness of the proposed extended procedure. The results indicate that, similar to the low-pass case, in spite of the adaptive feature, this extended procedure also can achieve a smooth result for inexact data, thus verifying its robustness. Besides, the complexity of the extended procedure does not increase significantly, thus it is applicable to real applications.