CMOS#
Complementary Metal (Poly-Si) Oxide (SiO2) Semiconductor (CMOS).
NOT | NAND | NOR |
---|---|---|
Parameters#
channel width | \(W_{\ir n/p}\) |
channel length | \(L_{\ir n/p}\) |
gate oxide thickness | \(t_{\ir ox}\) |
electron mobility | \(\mu_{\ir n} \approx \SI{250e-4}{\meter\squared\per\volt\second}\) |
\(\mu_{\ir p} \approx \SI{200e-4}{\meter\squared\per\volt\second}\) | |
rel. permittivity of gate oxide | \(\epsilon_{\ir ox} \approx 3,9\) |
dielectric constant | \(\epsilon_0 = \SI{8.8541878e-12}{\ampere\second\per\volt\meter}\) |
specific oxide capacity | \(C'_{\ir ox} = \frac{\varepsilon_{\ir ox} \varepsilon_0}{t_{\ir ox}}\) |
oxide capacity | \(C_{\ir ox} = C'_{\ir ox} \cdot WL\) |
gain (also \(\beta\)) | \(K_{\ir n} = \mu_{\ir n} C'_{\ir ox} \frac{W_{\ir n}}{L_{\ir n}}\) |
\(K_{\ir p} = (-1) \mu_{\ir p} C'_{\ir ox} \frac{W_{\ir p}}{L_{\ir p}}\) | |
propagation delay | $t_{\ir pHL} \propto \frac{C_L t_{\ir ox} L_{\ir p}}{W_{\ir p} \mu_{\ir p} \varepsilon_{\ir ox} (V_{\ir DD} - |
Inverter Power#
Power Consumption of a CMOS Inverter
Dynamic Power Consumption#
\[P_{\ir dyn} = P_{\ir cap} + P_{\ir short}\]
Capacitive Power#
\[P_{\ir cap} = \alpha_{01} f C_L V_{\ir DD}^2\]
Short Circuit Power#
\[P_{\ir short} = \alpha_{01} f \beta_n \tau (V_{\ir DD} - 2V_{\ir th})^3\]