SRAM dynamic stability verification by reachability analysis with consideration of threshold voltage variation

  • Authors:
  • Yang Song;Hao Yu;Sai Manoj Pudukotai Dinakarrao;Guoyong Shi

  • Affiliations:
  • Shanghai Jiao Tong University, Shanghai, China;Nanyang Technological University, Singapore, Singapore;Nanyang Technological University, Singapore, Singapore;Shanghai Jiao Tong University, Shanghai, China

  • Venue:
  • Proceedings of the 2013 ACM international symposium on International symposium on physical design
  • Year:
  • 2013

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Abstract

Dynamic stability margin of SRAM is largely suppressed at nano-scale due to not only dynamic noise but also process variation. A novel dynamic stability verification is developed in this paper based on analog reachability analysis for checking SRAM failure. In the presence of mismatch such as threshold voltage variation of all transistors, zonotope-based reachability analysis is deployed to efficiently verify SRAM failure at transistor level. The threshold voltage variation is considered by the modified input range of SRAM. As such, the suppressed stability margin and further failure region can be verified by performing a time-evolved reachability analysis with formed zonotope to distinguish safe and failure regions. One can perform efficient verification of the SRAM dynamic stability without repeated yet time-consuming Monte-Carlo simulations considering variations from all transistors. As demonstrated by numerical experiment results, the developed reachability analysis can accurately verify the SRAM dynamic stability under threshold voltage variations from all transistors. Speedup of more than 400x in runtime can be achieved over the Monte Carlo approach of 500 samples with the similar accuracy.