Cox = e0*er / Tox
Where is the missing parameter "area" ? I suppose capacitance equation is something like C = e*A/d
Besides, someone told me that calculating gm and ro by hand will not be very useful. What do you guys think ?
No matter what, using wxmaxima software, I have also came up with the extremely long expression of Vout/Iout which I am still not quite sure how I would use it effectively. Almost all parameters are both in nominator and denominator of the expression, this makes mosfet sizing decision very difficuly indeed.
\[ node\_1: V1/ro4 + gm4*V1 + (V1-V2)/ro6 + gm6*(Vin-V2) = 0\$ \]
\[ node\_2: (V2-V1)/ro6 + (V2-V3)/Rs - gm6*(Vin-V2) = 0\$ \]
\[ node\_3: (V3-V2)/Rs + (V3-Vout)/ro5 + gm5*V3 = 0\$ \]
\[output\_node: -Iout + gm3*V1 + Vout/ro3 - gm5*V3 + (Vout-V3)/ro5 = 0\$ \]
\[ sol: linsolve([node\_1, node\_2, node\_3, output\_node], [Vout, Iout, V1, V2, V3])\$ \]
\[ Rout: Vout/Iout,sol,factor; \]
\[
\frac{ (\mathit{ro3} (\mathit{Rs}\, \mathit{gm4}\, \mathit{gm5}\, \mathit{gm6}\, \mathit{ro4}\, \mathit{ro5}\, \mathit{ro6}+\mathit{gm4}\, \mathit{gm6}\, \mathit{ro4}\, \mathit{ro5}\, \mathit{ro6}+\mathit{gm4}\, \mathit{gm5}\, \mathit{ro4}\, \mathit{ro5}\, \mathit{ro6}+\mathit{Rs}\, \mathit{gm5}\, \mathit{gm6}\, \mathit{ro5}\, \mathit{ro6}+\mathit{gm6}\, \mathit{ro5}\, \mathit{ro6}+\mathit{gm5}\, \mathit{ro5}\, \mathit{ro6}+\mathit{Rs}\, \mathit{gm4}\, \mathit{gm6}\, \mathit{ro4}\, \mathit{ro6}+\mathit{gm4}\, \mathit{ro4}\, \mathit{ro6}+\mathit{Rs}\, \mathit{gm6}\, \mathit{ro6}+\mathit{ro6}+\mathit{Rs}\, \mathit{gm4}\, \mathit{gm5}\, \mathit{ro4}\, \mathit{ro5}+\mathit{gm5}\, \mathit{ro4}\, \mathit{ro5}+\mathit{gm4}\, \mathit{ro4}\, \mathit{ro5}+\mathit{Rs}\, \mathit{gm5}\, \mathit{ro5}+\mathit{ro5}+\mathit{Rs}\, \mathit{gm4}\, \mathit{ro4}+\mathit{ro4}+\mathit{Rs})) }
{ (\mathit{Rs}\, \mathit{gm4}\, \mathit{gm5}\, \mathit{gm6}\, \mathit{ro4}\, \mathit{ro5}\, \mathit{ro6}+\mathit{gm4}\, \mathit{gm6}\, \mathit{ro4}\, \mathit{ro5}\, \mathit{ro6}+\mathit{gm4}\, \mathit{gm5}\, \mathit{ro4}\, \mathit{ro5}\, \mathit{ro6}+\mathit{Rs}\, \mathit{gm5}\, \mathit{gm6}\, \mathit{ro5}\, \mathit{ro6}+\mathit{gm6}\, \mathit{ro5}\, \mathit{ro6}+\mathit{gm5}\, \mathit{ro5}\, \mathit{ro6}+\mathit{gm4}\, \mathit{gm6}\, \mathit{ro3}\, \mathit{ro4}\, \mathit{ro6}+\mathit{gm3}\, \mathit{gm6}\, \mathit{ro3}\, \mathit{ro4}\, \mathit{ro6}+\mathit{Rs}\, \mathit{gm4}\, \mathit{gm6}\, \mathit{ro4}\, \mathit{ro6}+\mathit{gm4}\, \mathit{ro4}\, \mathit{ro6}+\mathit{gm6}\, \mathit{ro3}\, \mathit{ro6}+\mathit{Rs}\, \mathit{gm6}\, \mathit{ro6}+\mathit{ro6}+\mathit{Rs}\, \mathit{gm4}\, \mathit{gm5}\, \mathit{ro4}\, \mathit{ro5}+\mathit{gm5}\, \mathit{ro4}\, \mathit{ro5}+\mathit{gm4}\, \mathit{ro4}\, \mathit{ro5}+\mathit{Rs}\, \mathit{gm5}\, \mathit{ro5}+\mathit{ro5}+\mathit{gm4}\, \mathit{ro3}\, \mathit{ro4}+\mathit{gm3}\, \mathit{ro3}\, \mathit{ro4}+\mathit{Rs}\, \mathit{gm4}\, \mathit{ro4}+\mathit{ro4}+\mathit{ro3}+\mathit{Rs}) }
\]