The Backus-Gilbert (BG) method is an inversion method for solving integral equations. We show that, given a set of idealized delta-function kernels in the BG formalism, it is possible to derive an interpolation formula for a band-limited function very closely comparable with the perfect interpolation formula given by the Shannon theorem.
The Backus-Gilbert Inversion Method and the Processing of Sampled Data / B., Caccin; Roberti, Giuseppe; Russo, Paolo; Smaldone, LUIGI ANTONIO. - In: IEEE TRANSACTIONS ON SIGNAL PROCESSING. - ISSN 1053-587X. - 40:11(1992), pp. 2823-2825. [10.1109/78.165672]
The Backus-Gilbert Inversion Method and the Processing of Sampled Data
ROBERTI, GIUSEPPE;RUSSO, PAOLO;SMALDONE, LUIGI ANTONIO
1992
Abstract
The Backus-Gilbert (BG) method is an inversion method for solving integral equations. We show that, given a set of idealized delta-function kernels in the BG formalism, it is possible to derive an interpolation formula for a band-limited function very closely comparable with the perfect interpolation formula given by the Shannon theorem.File in questo prodotto:
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