By Wai-Kai Chen
Lively community and suggestions Amplifier concept
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Additional resources for Active Network Analysis. Feedback Amplifier Theory
In addition to the port characterizations of a network, it is sometimes advantageous to consider a network with n accessible terminals. Terminal characterization of a network and its applications will be considered in the following chapter. 6 EQUIVALENT FREQUENCY-DOMAIN CONDITIONS OF PASSIVITY The concept of passivity was introduced in Sec. 3 as a useful qualitative measure of the time-domain behavior of networks. As pointed out earlier, the definition, although very general, is difficult to apply.
Note that each excitation signal has the same associated σ0 , ω0 , and φ0 , but different ck and φk . 113b) For our purposes, we express Eq. 113a). 116) is valid for any s in the closed RHS. 117b) i=1 k=1 in which, as before, s0 = σ0 + j ω0 , and X = [c1 e− j φ1 , c2 e− j φ2 , . . 117a) for the total energy stored in the n-port, which again must be nonnegative. 119) The reason for this is that, by replacing φ0 by φ0 + 12 π, Eqs. 114d) becomes −A4 . 117d) is changed to −ε2 . 117c) are arbitrary.
As pointed out earlier, the definition, although very general, is difficult to apply. The examples we presented were either simple one-ports or two-ports. In this section, the time-domain passivity criterion September 1, 2016 10:33 Active Network Analysis: Feedback …– 9in x 6in b2428-ch01 page 29 CHARACTERIZATIONS OF NETWORKS 29 is translated into frequency-domain passivity conditions for linear time-invariant n-port networks. Let y(t) and u(t)be the response and the excitation of a linear time-invariant n-port network N.
Active Network Analysis. Feedback Amplifier Theory by Wai-Kai Chen