DocumentCode :
1168221
Title :
Optimum RC phase-shift network between two arbitrary impedances
Author :
Pang, Khee K.
Volume :
18
Issue :
2
fYear :
1971
fDate :
3/1/1971 12:00:00 AM
Firstpage :
255
Lastpage :
259
Abstract :
The following problem is investigated. Given two terminating impedances Z_{1} and Z_{2} , design an RC ladder network of n sections such that the terminated transfer voltage ratio |V_{2}/V_{1}(j \\omega _{0})| is maximized at a given phase shift (\\angle V_{2}/V_{1}(j \\omega _{0})=\\phi_{0}) . This problem is solved explicitly. It was found that the optimum RC phase-shift network is a geometrical progression network-properly terminated at both ends. In the distributed case ( n approaches infinity), the optimum RC network is an exponentially tapered line, terminated by four lumped impedances.
Keywords :
Distributed linear networks; Distributed networks; Distributed networks, linear; Phase-shift networks; RC networks; Bandwidth; Circuit theory; Equations; H infinity control; Impedance; Oscillators; Valves; Voltage;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1971.1083250
Filename :
1083250
Link To Document :
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