Title :
Matrix theory approach to the canonical representation of a class of linear discrete-time time-variant systems
Author :
Lohar, G. ; Wacker, A.G.
Author_Institution :
Dept. of Electr. Eng., Saskatchewan Univ., Saskatoon, Sask., Canada
fDate :
2/1/1990 12:00:00 AM
Abstract :
It is shown that a given square matrix can be decomposed into a particular combination of circulant matrices. From a linear system viewpoint, the above result can be interpreted as a decomposition of a linear discrete-time time-invariant system into a particular combination of linear discrete-time time-invariant systems, each in cascade with a modulator
Keywords :
cascade networks; discrete time systems; linear systems; matrix algebra; canonical representation; cascade; circulant matrices; decomposition; linear discrete-time time-variant systems; modulator; square matrix; Discrete Fourier transforms; Equations; Fourier series; Frequency domain analysis; Green´s function methods; Linear systems; Matrices; Matrix decomposition; Time varying systems; Vectors;
Journal_Title :
Circuits and Systems, IEEE Transactions on
