{"title":"数字函数的傅里叶变换和微分算子","authors":"R. Stankovic","doi":"10.1109/ISMVL.1992.186818","DOIUrl":null,"url":null,"abstract":"A Fourier-like transform suitable for application to digital functions is considered, and the difference operators for these functions are discussed. Special attention is focused to the relationship between the Fourier transform of a function and the Fourier transform of its difference relative to a particular variable. Using the transform introduced, a polynomial expansion for digital functions is suggested.<<ETX>>","PeriodicalId":127091,"journal":{"name":"[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic","volume":"131 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"24","resultStr":"{\"title\":\"Some remarks on Fourier transform and differential operators for digital functions\",\"authors\":\"R. Stankovic\",\"doi\":\"10.1109/ISMVL.1992.186818\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A Fourier-like transform suitable for application to digital functions is considered, and the difference operators for these functions are discussed. Special attention is focused to the relationship between the Fourier transform of a function and the Fourier transform of its difference relative to a particular variable. Using the transform introduced, a polynomial expansion for digital functions is suggested.<<ETX>>\",\"PeriodicalId\":127091,\"journal\":{\"name\":\"[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic\",\"volume\":\"131 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-05-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"24\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.1992.186818\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.1992.186818","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some remarks on Fourier transform and differential operators for digital functions
A Fourier-like transform suitable for application to digital functions is considered, and the difference operators for these functions are discussed. Special attention is focused to the relationship between the Fourier transform of a function and the Fourier transform of its difference relative to a particular variable. Using the transform introduced, a polynomial expansion for digital functions is suggested.<>