Variation-Aware, Library Compatible Delay Modeling Strategy

Variability in digital integrated circuits makes timing verification an increasingly challenging task. Statistical static timing analysis has been proposed as a solution to this problem, but most of the work has concentrated in the development of timing engines for computing delay propagation. Such tools rely on the availability of delay formulas accounting for both cell and interconnect delay. In this paper, we concentrate on the impact of interconnect on delay and propose an extension to the standard modeling strategies that is variation-aware and compatible with such statistical engines. Our approach, based on a specific type of perturbation analysis, allows for the analytical computation of the quantities needed for statistical delay propagation. We also show how perturbation analysis can be performed when only the standard delay table lookup models are available for the standard cells. Results from applying our proposed modeling strategy to computing delays and slews in several instances accurately match similar results obtained using electrical level simulation

[1]  Ken Tseng,et al.  A robust cell-level crosstalk delay change analysis , 2004, IEEE/ACM International Conference on Computer Aided Design, 2004. ICCAD-2004..

[2]  Lawrence T. Pileggi,et al.  Performance computation for precharacterized CMOS gates with RC loads , 1996, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[3]  Martin D. F. Wong,et al.  Blade and razor: cell and interconnect delay analysis using current-based models , 2003, Proceedings 2003. Design Automation Conference (IEEE Cat. No.03CH37451).

[4]  Lawrence T. Pileggi,et al.  Parameterized interconnect order reduction with explicit-and-implicit multi-parameter moment matching for inter/intra-die variations , 2005, ICCAD-2005. IEEE/ACM International Conference on Computer-Aided Design, 2005..

[5]  Sachin S. Sapatnekar,et al.  Statistical Timing Analysis Considering Spatial Correlations using a Single Pert-Like Traversal , 2003, ICCAD 2003.

[6]  Natesan Venkateswaran,et al.  First-Order Incremental Block-Based Statistical Timing Analysis , 2006, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[7]  Joel R. Phillips,et al.  Variational interconnect analysis via PMTBR , 2004, IEEE/ACM International Conference on Computer Aided Design, 2004. ICCAD-2004..

[8]  Sarma Vrudhula,et al.  Stochastic analysis of interconnect performance in the presence of process variations , 2004, ICCAD 2004.