Kandaswamy, D.D.KandaswamyTHIERRY BLUSpinelli, L.L.SpinelliMichel, C.C.MichelVan De Ville, D.D.Van De Ville2024-03-072024-03-072011-11-02978142444128019457928https://scholars.lib.ntu.edu.tw/handle/123456789/640538Analytic sensing is a new mathematical framework to estimate the parameters of a multi-dipole source model from boundary measurements. The method deploys two working principles. First, the sensing principle relates the boundary measurements to the volumetric interactions of the sources with the so-called analytic sensor, a test function that is concentrated around a singular point outside the domain of interest. Second, the annihilation principle allows retrieving the projection of the dipoles' positions in a single shot by polynomial root finding. Here, we propose to apply analytic sensing in a local way; i.e., the poles are not surrounding the complete domain. By combining two local projections of the (nearby) dipolar sources, we are able to reconstruct the full 3-D information. We demonstrate the feasibility of the proposed approach for both synthetic and experimental data, together with the theoretical lower bounds of the localization error. © 2011 IEEE.analytic functions | annihilating filter | dipole models | EEG | finite rate of innovation | source localizationconference paper10.1109/ISBI.2011.58724492-s2.0-80055060422https://api.elsevier.com/content/abstract/scopus_id/80055060422