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Monte Carlo Analysis<br />

Problems in Statistical Modeling<br />

.SUBCKT P D G S B PARAM: W=1U L=1U<br />

M1 D G S B MODP W=W L=L<br />

.PARAM TOX=19E-09 A_MM_TOX=0.365543U B_MM_TOX=0.001435<br />

+ DEV_MM_TOX =’A_MM_TOX/SQRT(W*L)+B_MM_TOX’<br />

.PARAM VTH0=-.3732829 A_MM_VTH0=0.30654U B_MM_VTH0=0.1452<br />

+ DEV_MM_VTH0 =’A_MM_VTH0/SQRT(W*L)+B_MM_VTH0’<br />

.PARAM U0=138.7609 A_MM_U0=0.565745U B_MM_U0=0.366454<br />

+ DEV_MM_U0 =’A_MM_U0/SQRT(W*L)+B_MM_U0’<br />

.MODEL MODP PMOS<br />

+LEVEL=53<br />

+TOX = TOX LOT/GAUSS=2% DEV/GAUSS={DEV_MM_TOX}%<br />

+VTH0 = VTH0<br />

DEV/GAUSS={DEV_MM_VTH0}%<br />

+U0 = U0 DEV/GAUSS={DEV_MM_U0}%<br />

+KF=1E-27 AF=2<br />

+TNOM=27.0<br />

...<br />

.ENDS<br />

A global variation is added on the oxide thickness and we will have nine random variables for<br />

the LOT component of the TOX parameter: M(XM1.MODN,TOX), M(XM2.MODN,TOX),<br />

M(XM7.MODN,TOX), M(XM8.MODN,TOX), M(XM9.MODN,TOX),<br />

M(XM10.MODN,TOX), M(XM13.MODN,TOX), M(XM15.MODN,TOX),<br />

M(XM17.MODN,TOX). We obtained nine independent random variables instead of only one<br />

random for the global variations of the TOX parameter. It is very unlikely that this list of<br />

parameters is what you want to model in this case.<br />

The global variations can be obtained by rewriting the netlist as follows:<br />

Eldo® User's Manual, 15.3 547

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