{"title":"On the finite length DFT of input-output signals of multivariable linear systems","authors":"T. McKelvey","doi":"10.1109/CDC.2001.914780","DOIUrl":null,"url":null,"abstract":"The exact relation between the discrete Fourier transform (DFT) of the input and the DFT of the output of a finite dimensional MIMO linear system is established for the case of an arbitrary excitation signal and finite number of signal samples. The derived expression also includes the colored noise case.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"92 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2001.914780","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
The exact relation between the discrete Fourier transform (DFT) of the input and the DFT of the output of a finite dimensional MIMO linear system is established for the case of an arbitrary excitation signal and finite number of signal samples. The derived expression also includes the colored noise case.