DocumentCode :
819201
Title :
On the factorization of discrete-time rational spectral density matrices
Author :
Denham, M.J.
Author_Institution :
Imperial College of Science and Technology, Exhibition Road, London, England
Volume :
20
Issue :
4
fYear :
1975
fDate :
8/1/1975 12:00:00 AM
Firstpage :
535
Lastpage :
537
Abstract :
For a discrete-time rational spectral density matrix 
, the relationship between the factorizations 
and 
, in terms of minimal state space realizations of 
and 
, are derived in a straightforward way, without resorting to the use of the bilinear transformation. The obvious application of this result to performing a spectral factorizafion of is discussed.
, the relationship between the factorizations and , in terms of minimal state space realizations of and , are derived in a straightforward way, without resorting to the use of the bilinear transformation. The obvious application of this result to performing a spectral factorizafion of is discussed.Keywords :
Linear systems, time-invariant discrete-time; Rational matrices; Spectral factorizations; Polynomials; State-space methods;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1975.1101009
Filename :
1101009
Link To Document :
