Figure 2.3: Measured process variation in a wafer [30]. Friedberg et al. used Electrical
Linewidth Metrology (ELM) to measure the process variation in all the dies
of the wafer. Inter-die and intra-die variations can be clearly observed.
proposed a model for each parameter variations. The results show that having
a statistical characterization of variations can reduce IC power prediction error
from 30% to 7%. Their work signaled benefit of variations modeling. However,
their analysis used a test array circuit and it can not be extended for modeling
legacy ICs that are not equipped with the sensors.
Liu [47] proposed a new modeling approach that described systematic vari-
ations as an affine function of the device’s geometric coordinates. To model
random variations, he recommended three spatial correlation functions: expo-
nential, Gaussian, and linear. Using generalized least square fitting, he chose a
13
More intriguing information
1. The name is absent2. Fiscal Reform and Monetary Union in West Africa
3. The name is absent
4. The name is absent
5. The name is absent
6. Existentialism: a Philosophy of Hope or Despair?
7. INTERPERSONAL RELATIONS AND GROUP PROCESSES
8. Natural hazard mitigation in Southern California
9. The name is absent
10. Group cooperation, inclusion and disaffected pupils: some responses to informal learning in the music classroom