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Guaranteed estimation of solutions to transmission problems for Helmholtz equation with uncertain data from their indirect noisy observations
Taras Shevchenko National University, Kyiv, Ukraine.
Högskolan i Gävle, Akademin för teknik och miljö, Avdelningen för elektronik, matematik och naturvetenskap, Matematik.
2016 (engelsk)Inngår i: 2016 URSI International Symposium on Electromagnetic Theory (EMTS), IEEE conference proceedings, 2016, s. 93-95Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

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.

sted, utgiver, år, opplag, sider
IEEE conference proceedings, 2016. s. 93-95
Serie
URSI International Symposium on Electromagnetic Theory, ISSN 2163-405X
Emneord [en]
Electric fields, Estimation errors; Estimation problem; Guaranteed estimation; Linear functionals; Noisy observations; Right-hand sides; Statistical characteristics; Transmission problem, Helmholtz equation
HSV kategori
Identifikatorer
URN: urn:nbn:se:hig:diva-22705DOI: 10.1109/URSI-EMTS.2016.7571321ISI: 000389770800027Scopus ID: 2-s2.0-84992125254ISBN: 978-1-5090-2502-2 (tryckt)ISBN: 978-1-5090-2503-9 (tryckt)OAI: oai:DiVA.org:hig-22705DiVA, id: diva2:1045046
Konferanse
2016 URSI International Symposium on Electromagnetic Theory (EMTS), 14-18 August 2016, Espoo, Finland
Merknad

Available through IEEE Xplore digital library : Conference Publications.

Tilgjengelig fra: 2016-11-08 Laget: 2016-11-08 Sist oppdatert: 2018-03-13bibliografisk kontrollert

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  • sv-SE
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