DocumentCode :
811364
Title :
A maximal-order theorem for optimal rational models
Author :
Freedman, Marvin I.
Author_Institution :
Boston University, Boston, MA, USA
Volume :
18
Issue :
2
fYear :
1973
fDate :
4/1/1973 12:00:00 AM
Firstpage :
172
Lastpage :
174
Abstract :
The problem of finding an optimal approximating model (in L2 -sense) to a fixed filter out of the class of rational filters of "order" 
is considered. After the existence question is settled, it is shown that such an optimal model must in a certain sense be of maximal-order 
.
is considered. After the existence question is settled, it is shown that such an optimal model must in a certain sense be of maximal-order .Keywords :
Approximation methods; Filters; Approximation methods; Chebyshev approximation; Convolution; Filters; Fourier transforms; Hilbert space; Linear systems; Mathematics; Polynomials; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1973.1100245
Filename :
1100245
Link To Document :
