Abstract | ||
---|---|---|
The Backus-Gilbert (BG) method, an inversion method for solving integral equations, is treated. It is shown that, given a set of idealized δ-function kernels in the BG formalism, it is possible to derive an interpolation formula for a bandlimited function that very closely compares to the perfect interpolation formula given by the Shannon theorem |
Year | DOI | Venue |
---|---|---|
1992 | 10.1109/78.165672 | Signal Processing, IEEE Transactions |
Keywords | Field | DocType |
frequency-domain analysis,integral equations,interpolation,sampled data systems,signal processing,Backus-Gilbert inversion method,bandlimited function,frequency-domain analysis,idealized δ-function kernels,integral equations,interpolation formula,sampled data processing,signal processing | Mathematical optimization,Multivariate interpolation,Mathematical analysis,Interpolation,Integral equation,Whittaker–Shannon interpolation formula,Linear interpolation,Trilinear interpolation,Mathematics,Inverse quadratic interpolation,Bilinear interpolation | Journal |
Volume | Issue | ISSN |
40 | 11 | 1053-587X |
Citations | PageRank | References |
5 | 1.84 | 0 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Caccin, B. | 1 | 5 | 1.84 |
Roberti, C. | 2 | 5 | 1.84 |
p russo | 3 | 23 | 4.55 |
Smaldone, L.A. | 4 | 5 | 1.84 |