DocumentCode
1201310
Title
Maximum Gain Realization of an RC Ladder Network
Author
Paige, A. ; Kuh, E.S.
Volume
7
Issue
1
fYear
1960
fDate
3/1/1960 12:00:00 AM
Firstpage
32
Lastpage
40
Abstract
This paper is concerned with the synthesis of the voltage transfer function of an unterminated RC ladder network. Given
the constraint on
and
is well known and the realization procedure is straightforward. However, for many applications, it is important to realize the maximum possible gain (
) associated with a given transfer function. This paper presents a method of determining
from the given
. Furthermore, it is shown that if the maximum gain occurs at dc or at infinite frequency,
can be realized exactly. If the maximum gain occurs at a finite frequency,
can be approached arbitrarily closely.
the constraint on
and
is well known and the realization procedure is straightforward. However, for many applications, it is important to realize the maximum possible gain (
) associated with a given transfer function. This paper presents a method of determining
from the given
. Furthermore, it is shown that if the maximum gain occurs at dc or at infinite frequency,
can be realized exactly. If the maximum gain occurs at a finite frequency,
can be approached arbitrarily closely.Keywords
Books; Filtering theory; H infinity control; Lattices; Network synthesis; Poles and zeros; Shape control; Transfer functions; Upper bound; Voltage;
fLanguage
English
Journal_Title
Circuit Theory, IRE Transactions on
Publisher
ieee
ISSN
0096-2007
Type
jour
DOI
10.1109/TCT.1960.1086620
Filename
1086620
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