{"title":"重构带限函数的广义核及其希尔伯特变换","authors":"H. Boche, M. Protzmann","doi":"10.1109/CPEM.1998.699985","DOIUrl":null,"url":null,"abstract":"This paper introduces generalized kernels to be used with the algorithm for reconstructing bandlimited functions from nonequidistant samples which was previously proposed by the authors. The new kernels turn out to be much more compatible with the requirements of numerical implementation, because they lead to matrices with a significantly reduced condition.","PeriodicalId":239228,"journal":{"name":"1998 Conference on Precision Electromagnetic Measurements Digest (Cat. No.98CH36254)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalized kernels for reconstructing bandlimited functions and their Hilbert transform\",\"authors\":\"H. Boche, M. Protzmann\",\"doi\":\"10.1109/CPEM.1998.699985\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper introduces generalized kernels to be used with the algorithm for reconstructing bandlimited functions from nonequidistant samples which was previously proposed by the authors. The new kernels turn out to be much more compatible with the requirements of numerical implementation, because they lead to matrices with a significantly reduced condition.\",\"PeriodicalId\":239228,\"journal\":{\"name\":\"1998 Conference on Precision Electromagnetic Measurements Digest (Cat. No.98CH36254)\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-07-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1998 Conference on Precision Electromagnetic Measurements Digest (Cat. No.98CH36254)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CPEM.1998.699985\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1998 Conference on Precision Electromagnetic Measurements Digest (Cat. No.98CH36254)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CPEM.1998.699985","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized kernels for reconstructing bandlimited functions and their Hilbert transform
This paper introduces generalized kernels to be used with the algorithm for reconstructing bandlimited functions from nonequidistant samples which was previously proposed by the authors. The new kernels turn out to be much more compatible with the requirements of numerical implementation, because they lead to matrices with a significantly reduced condition.