{"title":"Well-conditioned adaptive interpolation by a gaussian-modulated pole kernel with applications to vector fitting","authors":"L. Knockaert, D. De Zutter","doi":"10.1109/SPI.2007.4512208","DOIUrl":null,"url":null,"abstract":"In this contribution we discuss the translation-invariant interpolation of frequency domain functions by means of a well-conditioned Gaussian-modulated pole kernel which generates exclusively stable poles. For the implementation we use an adaptive interpolation process which is a variant of a recently introduced adaptive residual subsampling method. It is shown that the interpolation process with the Gaussian-modulated pole kernel also provides an excellent pre-processing interface when used in conjunction with the popular vector fitting algorithm. This results in a composite algorithm, performing the sampling and modelling of the given frequency function in a fully automatic way.","PeriodicalId":206352,"journal":{"name":"2007 IEEE Workshop on Signal Propagation on Interconnects","volume":"55 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 IEEE Workshop on Signal Propagation on Interconnects","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SPI.2007.4512208","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this contribution we discuss the translation-invariant interpolation of frequency domain functions by means of a well-conditioned Gaussian-modulated pole kernel which generates exclusively stable poles. For the implementation we use an adaptive interpolation process which is a variant of a recently introduced adaptive residual subsampling method. It is shown that the interpolation process with the Gaussian-modulated pole kernel also provides an excellent pre-processing interface when used in conjunction with the popular vector fitting algorithm. This results in a composite algorithm, performing the sampling and modelling of the given frequency function in a fully automatic way.