CMOS_noise .lib SLiCAP.lib X1 in 0 out NM18_noise W={W} L={L} ID={I_D} V1 in 0 1 .end
RefDes | Nodes | Refs | Model | Param | Symbolic | Numeric |
---|---|---|---|---|---|---|
F1_X1 | in 0 10_X1 0 | F | value | $\frac{0.5 s}{\pi f_{T X1} \left(- \frac{c_{dg X1} s}{g_{m X1}} + 1\right)}$ | $\frac{317.1 s \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W} + 5.625 \cdot 10^{-5} \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W}\right)^{0.5} + 1.266 \cdot 10^{-8}\right)^{0.5} \left(0.008222 L W \left(0.6667 - \frac{4.219 \cdot 10^{-9} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}\right) + 0.0007547 L W \left(1.0 + \frac{1.266 \cdot 10^{-8} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}\right) + 2.0 \cdot 10^{-12} L + 6.6 \cdot 10^{-10} W\right)}{I_{D} \left(1.0 - \frac{1.046 \cdot 10^{-7} W s \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W} + 5.625 \cdot 10^{-5} \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W}\right)^{0.5} + 1.266 \cdot 10^{-8}\right)^{0.5}}{I_{D}}\right)}$ | |
H1_X1 | in 2_X1 1_X1 10_X1 | H | value | $\frac{1}{g_{m X1} \left(- \frac{c_{dg X1} s}{g_{m X1}} + 1\right)}$ | $\frac{317.1 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W} + 5.625 \cdot 10^{-5} \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W}\right)^{0.5} + 1.266 \cdot 10^{-8}\right)^{0.5}}{I_{D} \left(1.0 - \frac{1.046 \cdot 10^{-7} W s \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W} + 5.625 \cdot 10^{-5} \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W}\right)^{0.5} + 1.266 \cdot 10^{-8}\right)^{0.5}}{I_{D}}\right)}$ | |
I1_X1 | 0 1_X1 | I | value | $0$ | $0$ | |
noise | $4 \Gamma_{X1} N_{s N18} T g_{m X1} k$ | $\frac{7.21 \cdot 10^{-23} I_{D} \left(\frac{5.267 \cdot 10^{7} I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 0.5\right)}{\left(\frac{7.901 \cdot 10^{7} I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right) \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W} + 5.625 \cdot 10^{-5} \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W}\right)^{0.5} + 1.266 \cdot 10^{-8}\right)^{0.5}}$ | ||||
dc | $0$ | $0$ | ||||
dcvar | $0$ | $0$ | ||||
I2_X1 | in 0 | I | value | $0$ | $0$ | |
noise | $2 IG q$ | $3.204 \cdot 10^{-19} IG$ | ||||
dc | $0$ | $0$ | ||||
dcvar | $0$ | $0$ | ||||
V1 | in 0 | V | value | $1$ | $1.0$ | |
dc | $0$ | $0$ | ||||
dcvar | $0$ | $0$ | ||||
noise | $0$ | $0$ | ||||
V1_X1 | 2_X1 out | V | value | $0$ | $0$ | |
noise | $\frac{4 \Gamma_{X1} N_{s N18} T k \left(\frac{f_{\ell X1}}{f}\right)^{AF_{N18}}}{g_{m X1}}$ | $\frac{7.338 \cdot 10^{-20} \left(\frac{\left(\frac{I_{D} \left(0.7585 - \frac{3.057 \cdot 10^{-9} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}\right) \left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W}\right)^{0.5} + 0.003154\right)^{2} \left(\frac{7.901 \cdot 10^{7} I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{\left(\frac{5.267 \cdot 10^{7} I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 0.5\right) \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W} + 5.625 \cdot 10^{-5} \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W}\right)^{0.5} + 1.266 \cdot 10^{-8}\right)^{0.5} \left(0.008222 L W \left(0.6667 - \frac{4.219 \cdot 10^{-9} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}\right) + 0.0007547 L W \left(1.0 + \frac{1.266 \cdot 10^{-8} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}\right) + 2.0 \cdot 10^{-12} L + 6.6 \cdot 10^{-10} W\right)}\right)^{1.22}}{f}\right)^{0.82} \left(\frac{5.267 \cdot 10^{7} I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 0.5\right) \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W} + 5.625 \cdot 10^{-5} \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W}\right)^{0.5} + 1.266 \cdot 10^{-8}\right)^{0.5}}{I_{D} \left(\frac{7.901 \cdot 10^{7} I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}$ | ||||
dc | $0$ | $0$ | ||||
dcvar | $0$ | $0$ |
Name | Symbolic | Numeric |
---|---|---|
$AF_{N18}$ | $0.82$ | $0.82$ |
$CGBO_{N18}$ | $1.0 \cdot 10^{-12}$ | $1.0 \cdot 10^{-12}$ |
$CGSO_{N18}$ | $3.3 \cdot 10^{-10}$ | $3.3 \cdot 10^{-10}$ |
$CJB_{0 N18}$ | $0.001$ | $0.001$ |
$C_{OX N18}$ | $\frac{\epsilon_{0} \epsilon_{SiO2}}{TOX_{N18}}$ | $0.008222$ |
$E_{CRIT N18}$ | $1.07 \cdot 10^{7}$ | $1.07 \cdot 10^{7}$ |
$I_{0 N18}$ | $2 C_{OX N18} N_{s N18} U_{T}^{2} u_{0 N18}$ | $1.031 \cdot 10^{-6}$ |
$KF_{N18}$ | $6.0 \cdot 10^{-27}$ | $6.0 \cdot 10^{-27}$ |
$LDS_{N18}$ | $1.8 \cdot 10^{-7}$ | $1.8 \cdot 10^{-7}$ |
$N_{s N18}$ | $1.38$ | $1.38$ |
$T$ | $300$ | $300.0$ |
$TOX_{N18}$ | $4.2 \cdot 10^{-9}$ | $4.2 \cdot 10^{-9}$ |
$\Theta_{N18}$ | $0.41$ | $0.41$ |
$U_{T}$ | $\frac{T k}{q}$ | $0.02585$ |
$V_{KF N18}$ | $2$ | $2.0$ |
$Vth_{N18}$ | $0.42$ | $0.42$ |
$c$ | $2.998 \cdot 10^{8}$ | $2.998 \cdot 10^{8}$ |
$\epsilon_{0}$ | $\frac{1}{c^{2} \mu_{0}}$ | $8.854 \cdot 10^{-12}$ |
$\epsilon_{SiO2}$ | $3.9$ | $3.9$ |
$k$ | $1.381 \cdot 10^{-23}$ | $1.381 \cdot 10^{-23}$ |
$\mu_{0}$ | $4.0 \cdot 10^{-7} \pi$ | $1.257 \cdot 10^{-6}$ |
$q$ | $1.602 \cdot 10^{-19}$ | $1.602 \cdot 10^{-19}$ |
$u_{0 N18}$ | $0.068$ | $0.068$ |
$\Gamma_{X1}$ | $\frac{0.6667 IC_{X1} + 0.5}{IC_{X1} + 1}$ | $\frac{\frac{5.267 \cdot 10^{7} I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 0.5}{\frac{7.901 \cdot 10^{7} I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0}$ |
$IC_{CRIT X1}$ | $\frac{0.0625}{N_{s N18}^{2} U_{T}^{2} \left(\Theta_{N18} + \frac{1}{E_{CRIT N18} L}\right)^{2}}$ | $\frac{292.1}{\left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}$ |
$IC_{X1}$ | $IC_{i X1} \left(1 + \frac{2 IC_{i X1}}{IC_{CRIT X1}}\right)^{0.5}$ | $\frac{7.901 \cdot 10^{7} I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W}$ |
$IC_{i X1}$ | $\frac{I_{D} L}{I_{0 N18} W}$ | $\frac{9.697 \cdot 10^{5} I_{D} L}{W}$ |
$K_{F X1}$ | $KF_{N18} \left(\frac{2 IC_{X1}^{0.5} N_{s N18} U_{T}}{V_{KF N18}} + 1\right)^{2}$ | $6.033 \cdot 10^{-22} \left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W}\right)^{0.5} + 0.003154\right)^{2}$ |
$V_{GS X1}$ | $2 N_{s N18} U_{T} \log{\left(e^{\left(IC_{i X1} \left(1 + \frac{IC_{i X1}}{IC_{CRIT X1}}\right)\right)^{0.5}} - 1 \right)} + Vth_{N18}$ | $0.07135 \log{\left(e^{555.6 \sqrt{\pi} \sqrt{\frac{I_{D} L \left(\frac{10852468783247073003 \pi I_{D} L \left(\frac{41}{100} + \frac{1}{10700000 L}\right)^{2}}{1726562500000000 W} + 1\right)}{W}}} - 1 \right)} + 0.42$ |
$c_{db X1}$ | $CJB_{0 N18} LDS_{N18} W$ | $1.8 \cdot 10^{-10} W$ |
$c_{dg X1}$ | $CGSO_{N18} W$ | $3.3 \cdot 10^{-10} W$ |
$c_{gb X1}$ | $2 CGBO_{N18} L + \frac{0.3333 C_{OX N18} L W \left(N_{s N18} - 1\right) \left(x_{X1} + 1\right)}{N_{s N18}}$ | $0.0007547 L W \left(1.0 + \frac{1.266 \cdot 10^{-8} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}\right) + 2.0 \cdot 10^{-12} L$ |
$c_{gs X1}$ | $CGSO_{N18} W + C_{OX N18} L W \left(0.6667 - 0.3333 x_{X1}\right)$ | $0.008222 L W \left(0.6667 - \frac{4.219 \cdot 10^{-9} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}\right) + 3.3 \cdot 10^{-10} W$ |
$c_{iss X1}$ | $c_{dg X1} + c_{gb X1} + c_{gs X1}$ | $0.008222 L W \left(0.6667 - \frac{4.219 \cdot 10^{-9} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}\right) + 0.0007547 L W \left(1.0 + \frac{1.266 \cdot 10^{-8} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}\right) + 2.0 \cdot 10^{-12} L + 6.6 \cdot 10^{-10} W$ |
$f_{T X1}$ | $\frac{0.5 g_{m X1}}{\pi c_{iss X1}}$ | $\frac{0.0005019 I_{D}}{\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W} + 5.625 \cdot 10^{-5} \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W}\right)^{0.5} + 1.266 \cdot 10^{-8}\right)^{0.5} \left(0.008222 L W \left(0.6667 - \frac{4.219 \cdot 10^{-9} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}\right) + 0.0007547 L W \left(1.0 + \frac{1.266 \cdot 10^{-8} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}\right) + 2.0 \cdot 10^{-12} L + 6.6 \cdot 10^{-10} W\right)}$ |
$f_{\ell X1}$ | $\left(\frac{0.5 \pi K_{F X1} f_{T X1} \left(- 0.3333 x_{X1} + 0.6667 + \frac{\left(N_{s N18} - 1\right) \left(0.3333 x_{X1} + 0.3333\right)}{N_{s N18}}\right)}{C_{OX N18} \Gamma_{X1} N_{s N18} T k}\right)^{\frac{1}{AF_{N18}}}$ | $0.003693 \left(\frac{I_{D} \left(0.7585 - \frac{3.057 \cdot 10^{-9} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}\right) \left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W}\right)^{0.5} + 0.003154\right)^{2} \left(\frac{7.901 \cdot 10^{7} I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{\left(\frac{5.267 \cdot 10^{7} I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 0.5\right) \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W} + 5.625 \cdot 10^{-5} \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W}\right)^{0.5} + 1.266 \cdot 10^{-8}\right)^{0.5} \left(0.008222 L W \left(0.6667 - \frac{4.219 \cdot 10^{-9} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}\right) + 0.0007547 L W \left(1.0 + \frac{1.266 \cdot 10^{-8} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}\right) + 2.0 \cdot 10^{-12} L + 6.6 \cdot 10^{-10} W\right)}\right)^{1.22}$ |
$g_{m X1}$ | $\frac{I_{D}}{N_{s N18} U_{T} \left(IC_{X1} \left(1 + \frac{IC_{X1}}{IC_{CRIT X1}}\right) + 0.5 \left(IC_{X1} \left(1 + \frac{IC_{X1}}{IC_{CRIT X1}}\right)\right)^{0.5} + 1\right)^{0.5}}$ | $\frac{0.003153 I_{D}}{\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W} + 5.625 \cdot 10^{-5} \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5} \left(\frac{2.705 \cdot 10^{5} I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2} \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 1.0\right)}{W}\right)^{0.5} + 1.266 \cdot 10^{-8}\right)^{0.5}}$ |
$x_{X1}$ | $\frac{\left(IC_{X1} + 0.25\right)^{0.5} + 1.5}{\left(\left(IC_{X1} + 0.25\right)^{0.5} + 0.5\right)^{2}}$ | $\frac{1.266 \cdot 10^{-8} \left(8889.0 \left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 1.5\right)}{\left(\left(\frac{I_{D} L \left(\frac{I_{D} L \left(1 + \frac{2.279 \cdot 10^{-7}}{L}\right)^{2}}{W} + 0.0001506\right)^{0.5}}{W} + 3.164 \cdot 10^{-9}\right)^{0.5} + 5.625 \cdot 10^{-5}\right)^{2}}$ |
Name |
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$W$ |
$L$ |
$IG$ |
$I_{D}$ |
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Last project update: 2024-12-17 10:35:13