{"title":"Extended Fourier series representation of signals with time-varying bandwidth","authors":"R. Shavelis, M. Greitans","doi":"10.1109/ICICS.2013.6782834","DOIUrl":null,"url":null,"abstract":"The paper proposes an extension of the classical Fourier series for analysis of signals with time-varying spectral content. This, in comparison to classical series, allows reducing the number of coefficients that represent the signal if the fundamental frequency of the extended Fourier series is chosen according to the time-varying bandwidth of the signal. The advantage of the proposed series is demonstrated by numerical results for various test signals.","PeriodicalId":184544,"journal":{"name":"2013 9th International Conference on Information, Communications & Signal Processing","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 9th International Conference on Information, Communications & Signal Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICS.2013.6782834","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
The paper proposes an extension of the classical Fourier series for analysis of signals with time-varying spectral content. This, in comparison to classical series, allows reducing the number of coefficients that represent the signal if the fundamental frequency of the extended Fourier series is chosen according to the time-varying bandwidth of the signal. The advantage of the proposed series is demonstrated by numerical results for various test signals.
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