On alias-component matrices of discrete-time linear periodically time-varying systems

被引：19
|
作者：
Mehr, AS [1 ]
Chen, TW [1 ]
机构：
[1] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2G7, Canada
来源：
IEEE SIGNAL PROCESSING LETTERS | 2001年 / 8卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
alias-component matrix; frequency response; periodic systems; steady-state response;
D O I：
10.1109/97.911475
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
We first use the Fourier series to find the steady-state response of discrete-time linear periodically time-varying (LPTV) systems to periodic inputs. Then, in order to obtain the response of LPTV systems to general inputs, we use the Fourier transform (FT) and establish a direct link between alias-component matrices and LPTV systems modeled by periodically time varying difference equations. This is given in terms of the Fourier series of the parameters in the model.
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页码：114 / 116
页数：3
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