asymptotic gain model H1 ref.

The gain of the system can be obtained as:

$$ \frac{V_{\mathrm{\ell}}}{V_{s}}=\frac{A_{r}\,g_{m}\,\left(R_{a}+R_{b}\right)}{R_{a}+R_{b}+A_{r}\,R_{b}\,g_{m}+R_{a}\,R_{b}\,g_{m}} $$

The asymptotic gain $A_{\infty H1}$ is found as:

$$ A_{\mathrm{{\infty}{H1}}}=\frac{R_{a}+R_{b}}{R_{b}} $$

The loop gain $L_{H1}$ is found as:

$$ L_{\mathrm{H1}}=-\frac{1.0\,A_{r}\,R_{b}\,g_{m}}{R_{a}+R_{b}+R_{a}\,R_{b}\,g_{m}} $$

The servo function $S_{H1}$ is found as:

$$ S_{\mathrm{H1}}=\frac{A_{r}\,R_{b}\,g_{m}}{R_{a}+R_{b}+A_{r}\,R_{b}\,g_{m}+R_{a}\,R_{b}\,g_{m}} $$

The direct transfer $\rho_{H1}$ is found as:

$$ \mathrm{\rho}_{\mathrm{H1}}=0 $$

If we calculate the gain $A_f$ from the asymptotic gain, the servo function and the direct transfer, we obtain:

$$ A_{f}=\frac{A_{r}\,g_{m}\,\left(R_{a}+R_{b}\right)}{R_{a}+R_{b}+A_{r}\,R_{b}\,g_{m}+R_{a}\,R_{b}\,g_{m}} $$

Go to main index

SLiCAP: Symbolic Linear Circuit Analysis Program, Version 0.6 © 2009-2019 Anton Montagne

For documentation, examples, support, updates and courses please visit: analog-electronics.eu