학술논문

Variance Analysis in 3-D Integration: A Statistically Unified Model With Distance Correlations
Document Type
Periodical
Source
IEEE Transactions on Electron Devices IEEE Trans. Electron Devices Electron Devices, IEEE Transactions on. 66(1):633-640 Jan, 2019
Subject
Components, Circuits, Devices and Systems
Engineered Materials, Dielectrics and Plasmas
Integrated circuit modeling
Correlation
Solid modeling
SPICE
Inverters
Transistors
Logic gates
3-D integration
3-D very large-scale integration (VLSI)
across-chip variations (ACVs)
Monte Carlo (MC)
noise margins
SRAM
variability
Language
ISSN
0018-9383
1557-9646
Abstract
Variability is a challenge for future scaling as process dimensions reduce. The emerging 3-D sequential stacking technology is more than Moore’s scaling alternative. The 3-D design flow requires the partitioning of the netlist between the tiers. This paper presents the variability analysis of circuits partitioned into different levels. A comparison among local and global variations effects on ring oscillators (ROs) and SRAM is demonstrated. The across-chip variations and correlation range are shown as a critical point for the 3-D very large-scale integrated circuits, where the local variability is dominant. The correlations between devices due to the distances or the allocation into different tiers are directly taken into account in the SPICE model due to a statically unified model applied to 3-D circuits based on Monte Carlo simulations. Design wise, the 3-D integration can further decrease the circuit variability as shown in RO output frequency and SRAM static noise margin.