Quantcast
Channel: Active questions tagged transfer-function - Electrical Engineering Stack Exchange
Viewing all articles
Browse latest Browse all 237

should we consider \$R_{out}\$ for \$\omega_{out}\$ in transfer function?

$
0
0

The following is from the book Design of Analog CMOS Integrated Circuit, Page 180, Example 6.5

compute the transfer function of the common-gate stage.enter image description here

$$\omega_{in} = \left[(C_{GS} + C_{SB}) (R_S \parallel R_{in}) \right]^{-1}$$

$$\Rightarrow \omega_{in} = \left[(C_{GS} + C_{SB}) (R_S \parallel \frac{1} {g_m+g_{mb}}) \right]^{-1}$$

$$\omega_{out} = \left[(C_{DG} + C_{DB}) R_D \right]^{-1}$$

The book consider input resistance for \$\omega_{in}\$.

$$R_{in} = \frac{1} {g_m+g_{mb}}$$

However, I think we should also include \$R_{out}\$ for \$\omega_{out}\$.

The following is the output resistance. Neglecting channel-length modulation, \$r_{out}\$ should be removed from the following hybrid \$\pi\$ model.

enter image description here

$$R_{out} = \frac{V_X} {I_X} = R_S$$

$$\omega_{out} = \left[(C_{DG} + C_{DB}) (R_D \parallel R_{out})\right]^{-1}$$

$$\Rightarrow \omega_{out} = \left[(C_{DG} + C_{DB}) (R_D \parallel R_{S})\right]^{-1}$$


Viewing all articles
Browse latest Browse all 237

Trending Articles



<script src="https://jsc.adskeeper.com/r/s/rssing.com.1596347.js" async> </script>