Circuit data

Netlist: EKVmosNoise.cir

CMOS_noise
.lib SLiCAP.lib
X1 in 0 out  NM18_noise W={W} L={L} ID={I_D}
V1 in 0 1
.end
Expanded netlist of EKVmosNoise.cir.
RefDesNodesRefsModelParamSymbolicNumeric
F1_X1in 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_X1in 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_X10 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_X1in 0 I value$0$$0$
noise$2 IG q$$3.204 \cdot 10^{-19} IG$
dc$0$$0$
dcvar$0$$0$
V1in 0 V value$1$$1.0$
dc$0$$0$
dcvar$0$$0$
noise$0$$0$
V1_X12_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$
Parameter definitions of EKVmosNoise.cir.
NameSymbolicNumeric
$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}}$
Table: Parameters without definition in 'CMOS_noise.
Name
$W$
$L$
$IG$
$I_{D}$

Go to CMOS_noise_index

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Last project update: 2024-12-17 10:35:13