Title :
On alias-component matrices of discrete-time linear periodically time-varying systems
Author :
Mehr, Aryan Saadat ; Chen, Tongwen
Author_Institution :
Dept. of Electr. & Comput. Eng., Alberta Univ., Edmonton, Alta., Canada
fDate :
4/1/2001 12:00:00 AM
Abstract :
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.
Keywords :
Fourier series; Fourier transforms; difference equations; discrete time systems; linear systems; matrix algebra; signal processing; time-varying systems; Fourier series; Fourier transform; LPTV systems; alias-component matrices; discrete-time linear periodically time-varying systems; periodic inputs; periodically time varying difference equations; signal processing; steady-state response; Communication system control; Control systems; Difference equations; Fourier series; Fourier transforms; Frequency response; Process control; Signal processing; Steady-state; Time varying systems;
Journal_Title :
Signal Processing Letters, IEEE
