Title :
On factorizations of rational matrices
Author :
Tan, Shaohua ; Vandewalle, Joos
Author_Institution :
Dept. of Electr. Eng., Katholieke Univ. Leuven, Heverlee, Belgium
fDate :
9/1/1988 12:00:00 AM
Abstract :
It is shown that any complex rational matrix G(s) can be factorized over the complex field as a product of n complex rational matrices each of which has McMillan degree 1, where n is the McMillan degree of G(s). When confined to the real field, G(s) with real coefficient can be factorized as a product of a sequence of real national matrices with McMillan degree 1 or 2, where the McMillan degrees of the factors add up to n
Keywords :
matrix algebra; McMillan degree; complex field; factorizations; rational matrices; real coefficient; real field; Circuit synthesis; Circuits and systems; Conformal mapping; Feedback circuits; Operational amplifiers;
Journal_Title :
Circuits and Systems, IEEE Transactions on
