{"title":"傅里叶级数展开和移动窗口上的DFT","authors":"L. Homssi, A. Despujols","doi":"10.1109/IECON.1990.149166","DOIUrl":null,"url":null,"abstract":"The recursive calculation of Fourier series spectra and the discrete Fourier transform (DFT) on a moving window is investigated. The basic problem is to calculate the spectra coefficients on a one-step-shifted-to-the-right window using the old coefficient values. Several formulas are presented giving the adaptation law of the time-varying spectra. The development in Fourier series expansion can be extended to the case of orthogonal polynomial series.<<ETX>>","PeriodicalId":253424,"journal":{"name":"[Proceedings] IECON '90: 16th Annual Conference of IEEE Industrial Electronics Society","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Fourier series expansion and DFT on a moving window\",\"authors\":\"L. Homssi, A. Despujols\",\"doi\":\"10.1109/IECON.1990.149166\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The recursive calculation of Fourier series spectra and the discrete Fourier transform (DFT) on a moving window is investigated. The basic problem is to calculate the spectra coefficients on a one-step-shifted-to-the-right window using the old coefficient values. Several formulas are presented giving the adaptation law of the time-varying spectra. The development in Fourier series expansion can be extended to the case of orthogonal polynomial series.<<ETX>>\",\"PeriodicalId\":253424,\"journal\":{\"name\":\"[Proceedings] IECON '90: 16th Annual Conference of IEEE Industrial Electronics Society\",\"volume\":\"38 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-11-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[Proceedings] IECON '90: 16th Annual Conference of IEEE Industrial Electronics Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IECON.1990.149166\",\"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] IECON '90: 16th Annual Conference of IEEE Industrial Electronics Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IECON.1990.149166","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fourier series expansion and DFT on a moving window
The recursive calculation of Fourier series spectra and the discrete Fourier transform (DFT) on a moving window is investigated. The basic problem is to calculate the spectra coefficients on a one-step-shifted-to-the-right window using the old coefficient values. Several formulas are presented giving the adaptation law of the time-varying spectra. The development in Fourier series expansion can be extended to the case of orthogonal polynomial series.<>