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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/465593
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