Guaranteed estimation of solutions to transmission problems for Helmholtz equation with uncertain data from their indirect noisy observations
2016 (English)In: 2016 URSI International Symposium on Electromagnetic Theory (EMTS), IEEE conference proceedings, 2016, 93-95 p.Conference paper (Refereed)
We investigate the estimation problems of linear functionals from solutions to transmission problems for Helmholtz equation with inexact data. The right-hand sides of equations entering the statements of transmission problems and the statistical characteristics of observations errors are supposed to be unknown and belonging to the certain sets. It is shown that the linear mean square estimates of the above-mentioned functionals and estimation errors are expressed via solutions to the systems of transmission problems of the special type.
Place, publisher, year, edition, pages
IEEE conference proceedings, 2016. 93-95 p.
URSI International Symposium on Electromagnetic Theory, ISSN 2163-405X
Electric fields, Estimation errors; Estimation problem; Guaranteed estimation; Linear functionals; Noisy observations; Right-hand sides; Statistical characteristics; Transmission problem, Helmholtz equation
IdentifiersURN: urn:nbn:se:hig:diva-22705DOI: 10.1109/URSI-EMTS.2016.7571321ISI: 000389770800027ScopusID: 2-s2.0-84992125254ISBN: 978-1-5090-2502-2ISBN: 978-1-5090-2503-9OAI: oai:DiVA.org:hig-22705DiVA: diva2:1045046
2016 URSI International Symposium on Electromagnetic Theory (EMTS), 14-18 August 2016, Espoo, Finland
Available through IEEE Xplore digital library : Conference Publications.2016-11-082016-11-082017-01-10Bibliographically approved