Non-parametric statistical static timing analysis: an SSTA framework for arbitrary distribution

  • Authors:
  • Masanori Imai;Takashi Sato;Noriaki Nakayama;Kazuya Masu

  • Affiliations:
  • Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology and Semiconductor Technology Academic Research Center;Integrated Research Institute, Tokyo Institute of Technology;Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology;Integrated Research Institute, Tokyo Institute of Technology

  • Venue:
  • Proceedings of the 45th annual Design Automation Conference
  • Year:
  • 2008

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Abstract

We present a new statistical STA framework based on Monte Carlo analysis that can deal with arbitrary statistical distribution and delay models. Order statistics (non-parametrics) is consistently adopted by which the timing analysis and criticality calculation become distribution-independent. To make Monte Carlo process computationally practical, delays are handled as vectors so that iterations are eliminated. The vector dimension or required number of Monte Carlo iterations which guarantees no timing violation at any user-specified probability is analytically determined. A path criticality metric using order statistics is also defined. Experimental results using various delay models show the validity and usefulness of our proposed algorithm.