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 A (p) = frac{V_2}{V_1} = K frac{N(p)}{D(p)} the constraint on N and D is well known and the realization procedure is straightforward. However, for many applications, it is important to realize the maximum possible gain ( K \\max ) associated with a given transfer function. This paper presents a method of determining K_{\\max } from the given A(p) . Furthermore, it is shown that if the maximum gain occurs at dc or at infinite frequency, K_{\\max } can be realized exactly. If the maximum gain occurs at a finite frequency, K_{\\max } 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
Link To Document :
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