{"title":"多变量线性系统输入输出信号的有限长度DFT","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":"{\"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}","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}
On the finite length DFT of input-output signals of multivariable linear systems
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.