A novel approach for the efficient computation of 1-D and 2-D summations

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dc.citation.epage1022en_US
dc.citation.issueNumber3en_US
dc.citation.spage1014en_US
dc.citation.volumeNumber64en_US
dc.contributor.authorKarabulut, E. P.en_US
dc.contributor.authorErtürk, V. B.en_US
dc.contributor.authorAlatan, L.en_US
dc.contributor.authorKaran, S.en_US
dc.contributor.authorAlisan, B.en_US
dc.contributor.authorAksun, M. I.en_US
dc.date.accessioned2018-04-12T10:42:49Z
dc.date.available2018-04-12T10:42:49Z
dc.date.issued2016en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractA novel computational method is proposed to evaluate 1-D and 2-D summations and integrals which are relatively difficult to compute numerically. The method is based on applying a subspace algorithm to the samples of partial sums and approximating them in terms of complex exponentials. For a convergent summation, the residue of the exponential term with zero complex pole of this approximation corresponds to the result of the summation. Since the procedure requires the evaluation of relatively small number of terms, the computation time for the evaluation of the summation is reduced significantly. In addition, by using the proposed method, very accurate and convergent results are obtained for the summations which are not even absolutely convergent. The efficiency and accuracy of the method are verified by evaluating some challenging 1-D and 2-D summations and integrals. © 2016 IEEE.en_US
dc.identifier.doi10.1109/TAP.2016.2521860en_US
dc.identifier.issn0018-926X
dc.identifier.urihttp://hdl.handle.net/11693/36512
dc.language.isoEnglishen_US
dc.publisherInstitute of Electrical and Electronics Engineers Inc.en_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/TAP.2016.2521860en_US
dc.source.titleIEEE Transactions on Antennas and Propagationen_US
dc.subjectAcceleration techniquesen_US
dc.subjectCylindrically stratified mediaen_US
dc.subjectGreen's functionsen_US
dc.subjectNumerical methodsen_US
dc.subjectPeriodic structuresen_US
dc.subjectplanar layered structuresen_US
dc.subjectSommerfeld integralsen_US
dc.titleA novel approach for the efficient computation of 1-D and 2-D summationsen_US
dc.typeArticleen_US

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