Title
The Backus-Gilbert inversion method and the processing of sampled data
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.151.84
Roberti, C.251.84
p russo3234.55
Smaldone, L.A.451.84