Doğan, ZaferZaferDoğanTHIERRY BLUVan De Ville, DimitriDimitriVan De Ville2024-03-072024-03-072014-01-0115306429https://scholars.lib.ntu.edu.tw/handle/123456789/640511Finite-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).Annihilating filter method | Finite-rate-of-innovation | Helmholtz equation | Inverse source problem | Sensing principle | Wave equationjournal article2-s2.0-84920056781https://api.elsevier.com/content/abstract/scopus_id/84920056781