{"title":"广义Kravchenko-Kotelnikov抽样定理中新的修正核和权函数","authors":"V. Kravchenko, D. Churikov","doi":"10.1109/DD.2013.6712810","DOIUrl":null,"url":null,"abstract":"The report consists of two parts. In the first part the new designs of kernels of the generalized sampling series are proposed. This approach ensures high interpolation properties and good time-and-frequency localization. In the second part the weight functions for improvement of convergence of the generalized sampling series are suggested.","PeriodicalId":340014,"journal":{"name":"Proceedings of the International Conference Days on Diffraction 2013","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The new modified kernels and weight functions in the generalized Kravchenko-Kotelnikov sampling theorem\",\"authors\":\"V. Kravchenko, D. Churikov\",\"doi\":\"10.1109/DD.2013.6712810\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The report consists of two parts. In the first part the new designs of kernels of the generalized sampling series are proposed. This approach ensures high interpolation properties and good time-and-frequency localization. In the second part the weight functions for improvement of convergence of the generalized sampling series are suggested.\",\"PeriodicalId\":340014,\"journal\":{\"name\":\"Proceedings of the International Conference Days on Diffraction 2013\",\"volume\":\"9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-05-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the International Conference Days on Diffraction 2013\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD.2013.6712810\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the International Conference Days on Diffraction 2013","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD.2013.6712810","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The new modified kernels and weight functions in the generalized Kravchenko-Kotelnikov sampling theorem
The report consists of two parts. In the first part the new designs of kernels of the generalized sampling series are proposed. This approach ensures high interpolation properties and good time-and-frequency localization. In the second part the weight functions for improvement of convergence of the generalized sampling series are suggested.
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