TABLE OF CONTENTS In this appendix, we explain in detail the process of obtaining Eqs. (5.37) to (5.41). For more information you can consult the corresponding section.
In the first place, we reproduce here the equations necessary for the explanation. The expression sensitivity of the magnitude x with respect to magnitude y refers to:
| (5.50) |  |
The basic equation of the DDM is:
| (5.51) |  |
Parameters ? and T 0 are expressed as a function of the degradation parameters at gate level as:
| (5.52) |  |
| (5.53) |  |
First we calculate the partial derivative of t p with respect to ?:
| (5.54) |  |
From Eq. (5.51) we have:
| (5.55) |  |
Therefore:
| (5.56) |  |
We calculate the sensitivity:
| (5.57) |  |
From Eq. (5.51) we have:
| (5.58) |  |
Therefore:
| (5.59) |  |
First we calculate the partial derivative and simplify by applying Eq. (5.55):
| (5.60) |  |
Now we calculate the sensitivity:
| (5.61) |  |
| (5.62) |  |
We apply Eq. (5.52) to write the result as a function of A and B:
| (5.63) |  |
In a similar way:
| (5.64) |  |
| (5.65) |  |
We apply Eq. (5.53) to write the result as a function of C:
| (5.66) |  |
