Darian M Onchis, Simone Zappalà, Pedro Real, Codruta Istin
{"title":"基于样条的类gabor系统的数值稳定性。","authors":"Darian M Onchis, Simone Zappalà, Pedro Real, Codruta Istin","doi":"10.23919/EUSIPCO.2018.8552927","DOIUrl":null,"url":null,"abstract":"<p><p>The paper provides a theorem for the characterization of numerical stability of spline-type systems. These systems are generated through shifted copies of a given atom over a time lattice. Also, we reformulate the well known Gabor systems via modulated spline-type systems and we apply the corresponding numerical stability to these systems. The numerical stability is tested for consistency against deformations.</p>","PeriodicalId":87340,"journal":{"name":"Proceedings of the ... European Signal Processing Conference (EUSIPCO). EUSIPCO (Conference)","volume":"26 ","pages":"1337-1341"},"PeriodicalIF":0.0000,"publicationDate":"2018-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6292493/pdf/emss-80803.pdf","citationCount":"0","resultStr":"{\"title\":\"Numerical stability of spline-based Gabor-like systems.\",\"authors\":\"Darian M Onchis, Simone Zappalà, Pedro Real, Codruta Istin\",\"doi\":\"10.23919/EUSIPCO.2018.8552927\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>The paper provides a theorem for the characterization of numerical stability of spline-type systems. These systems are generated through shifted copies of a given atom over a time lattice. Also, we reformulate the well known Gabor systems via modulated spline-type systems and we apply the corresponding numerical stability to these systems. The numerical stability is tested for consistency against deformations.</p>\",\"PeriodicalId\":87340,\"journal\":{\"name\":\"Proceedings of the ... European Signal Processing Conference (EUSIPCO). EUSIPCO (Conference)\",\"volume\":\"26 \",\"pages\":\"1337-1341\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6292493/pdf/emss-80803.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the ... European Signal Processing Conference (EUSIPCO). EUSIPCO (Conference)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/EUSIPCO.2018.8552927\",\"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 ... European Signal Processing Conference (EUSIPCO). EUSIPCO (Conference)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/EUSIPCO.2018.8552927","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical stability of spline-based Gabor-like systems.
The paper provides a theorem for the characterization of numerical stability of spline-type systems. These systems are generated through shifted copies of a given atom over a time lattice. Also, we reformulate the well known Gabor systems via modulated spline-type systems and we apply the corresponding numerical stability to these systems. The numerical stability is tested for consistency against deformations.