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