Adaptive Multi-Rate Wavelet Method for Circuit Simulation

dc.contributor.authorBittner, Kai
dc.contributor.authorBrachtendorf, Hans Georg
dc.coverage.issue1cs
dc.coverage.volume23cs
dc.date.accessioned2014-12-09T11:48:21Z
dc.date.available2014-12-09T11:48:21Z
dc.date.issued2014-04cs
dc.description.abstractIn this paper a new adaptive algorithm for multi-rate circuit simulation encountered in the design of RF circuits based on spline wavelets is presented. The ordinary circuit differential equations are first rewritten by a system of (multi-rate) partial differential equations (MPDEs) in order to decouple the different time scales. Second, a semi-discretization by Rothe's method of the MPDEs results in a system of differential algebraic equations DAEs with periodic boundary conditions. These boundary value problems are solved by a Galerkin discretization using spline functions. An adaptive spline grid is generated, using spline wavelets for non-uniform grids. Moreover the instantaneous frequency is chosen adaptively to guarantee a smooth envelope resulting in large time steps and therefore high run time efficiency. Numerical tests on circuits exhibiting multi-rate behavior including mixers and PLL conclude the paper.en
dc.formattextcs
dc.format.extent300-307cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRadioengineering. 2014, vol. 23, č. 1, s. 300-307. ISSN 1210-2512cs
dc.identifier.issn1210-2512
dc.identifier.urihttp://hdl.handle.net/11012/36421
dc.language.isoencs
dc.publisherSpolečnost pro radioelektronické inženýrstvícs
dc.relation.ispartofRadioengineeringcs
dc.relation.urihttp://www.radioeng.cz/fulltexts/2014/14_01_0300_0307.pdfcs
dc.rightsCreative Commons Attribution 3.0 Unported Licenseen
dc.rights.accessopenAccessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/en
dc.subjectRF circuitsen
dc.subjectcircuit simulationen
dc.subjectmultirate simulationen
dc.subjectenvelope simulationen
dc.subjectsplinesen
dc.subjectwaveletsen
dc.titleAdaptive Multi-Rate Wavelet Method for Circuit Simulationen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.facultyFakulta eletrotechniky a komunikačních technologiícs
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