DocumentCode :
1202478
Title :
Darlington´s Synthesis and RMS Error Evaluation
Author :
Papoulis, A.
Volume :
8
Issue :
1
fYear :
1961
fDate :
3/1/1961 12:00:00 AM
Firstpage :
58
Lastpage :
60
Abstract :
A theorem relating the integrated square of the impulse and step response of a two terminal-pair network to its input impedance is developed; this theorem is in a sense the time domain equivalent to the gain-bandwidth relationship in steady state. As an application, a simple method is presented for evaluating the integrated square, \\int_{0}^{\\infty } [r(t)-r_{ss}]^2 dt , of the difference between a signal r(t) and its steady state value r_{ss} ; the method is based on Darlington\´s procedure for determining a reactive network from its transfer function.
Keywords :
Error analysis; Lossless networks; Network synthesis; Two-port networks; Books; Driver circuits; Feedback amplifiers; Integral equations; Nonlinear systems; Senior members; Signal synthesis; Steady-state; Transient response; Voltage;
fLanguage :
English
Journal_Title :
Circuit Theory, IRE Transactions on
Publisher :
ieee
ISSN :
0096-2007
Type :
jour
DOI :
10.1109/TCT.1961.1086739
Filename :
1086739
Link To Document :
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