Finite-rate-of-innovation for the inverse source problem of radiating fields
Journal
Sampling Theory in Signal and Image Processing
Journal Volume
13
Journal Issue
3
Date Issued
2014-01-01
Author(s)
Abstract
Finite-rate-of-innovation (FRI) is a framework that has been developed for the sampling and reconstruction of specific classes of signals, in particular non-bandlimited signals that are characterized by finitely many parameters. It has been shown that by using specific sampling kernels that reproduce polynomials or exponentials (i.e., satisfy Strang-Fix condition), it is possible to design non-iterative and fast reconstruction algorithms. In fact, the innovative part of the signal can be reconstructed perfectly using Prony's method (the annihilating filter).
Subjects
Annihilating filter method | Finite-rate-of-innovation | Helmholtz equation | Inverse source problem | Sensing principle | Wave equation
Type
journal article