Kandaswamy, D.D.KandaswamyTHIERRY BLUVan De Ville, D.D.Van De Ville2024-03-082024-03-082007-12-0197808194684990277786Xhttps://scholars.lib.ntu.edu.tw/handle/123456789/640597Inverse problems play an important role in engineering. A problem that often occurs in electromagnetics (e.g. EEG) is the estimation of the locations and strengths of point sources from boundary data. We propose a new technique, for which we coin the term "analytic sensing". First, generalized measures are obtained by applying Green's theorem to selected functions that are analytic in a given domain and at the same time localized to "sense" the sources. Second, we use the finite-rate-of-innovation framework to determine the locations of the sources. Hence, we construct a polynomial whose roots are the sources' locations. Finally, the strengths of the sources are found by solving a linear system of equations. Preliminary results, using synthetic data, demonstrate the feasibility of the proposed method.Analytic functions | Annihilating filters | Laplace's equation | Source localization[SDGs]SDG9conference paper10.1117/12.7338232-s2.0-42149151754https://api.elsevier.com/content/abstract/scopus_id/42149151754