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Asymptotic gain model : ウィキペディア英語版
Asymptotic gain model

The asymptotic gain model〔Middlebrook, RD: ''Design-oriented analysis of feedback amplifiers''; Proc. of National Electronics Conference, Vol. XX, Oct. 1964, pp. 1–4〕 (also known as the Rosenstark method) is a representation of the gain of negative feedback amplifiers given by the asymptotic gain relation:
:G = G_ \left( \frac \right) + G_0 \left( \frac \right) \ ,
where T is the return ratio with the input source disabled (equal to the negative of the loop gain in the case of a single-loop system composed of unilateral blocks), ''G'' is the asymptotic gain and ''G0'' is the direct transmission term. This form for the gain can provide intuitive insight into the circuit and often is easier to derive than a direct attack on the gain.
Figure 1 shows a block diagram that leads to the asymptotic gain expression. The asymptotic gain relation also can be expressed as a signal flow graph. See Figure 2. The asymptotic gain model is a special case of the extra element theorem.
==Definition of terms==
As follows directly from limiting cases of the gain expression, the asymptotic gain ''G'' is simply the gain of the system when the return ratio approaches infinity:
:G_ = G\ \Big |_\ ,
while the direct transmission term ''G0'' is the gain of the system when the return ratio is zero:
:G_ = G\ \Big |_\ .

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