Abstract-This paper presents a framework for fast and accurate static timing analysis considering coupling. With technology scaling to smaller dimensions, the impact of coupling induced delay variations can no longer be ignored. Timing analysis considering coupling is iterative, and can have considerably larger run-times than a single pass approach. We propose a novel and accurate coupling delay model, and present techniques to increase the convergence rate of timing analysis when complex coupling models are employed. Experimental results obtained for the ISCAS benchmarks show promising accuracy improvements using our coupling model while an efficient iteration scheme shows significant speedup (up to 62.1%) in comparison to traditional approaches.
Abstract-With continued scaling of technology into nanometer regimes, the impact of coupling induced delay variations is significant. While several coupling-aware static timers have been proposed, the results are often pessimistic with many false failures. We present an integrated iterative timing filtering and logic filtering based approach to reduce pessimism. We use a realistic coupling model based on arrival times and slews and show that non-iterative pessimism reduction algorithms proposed in previous research may give potentially nonconservative timing results. On a functional block from an industrial 65nm microprocessor, our algorithm produced a maximum pessimism reduction of 11.18% of cycle time over converged timing filtering analysis that does not consider logic constraints.
Logic Cell modeling is an important component in the analysis and design of CMOS integrated circuits, mostly due to nonlinear behavior of CMOS cells with respect to the voltage signal at their input and output pins. A current-based model for CMOS logic cells is presented which can be used for effective crosstalk noise and delta delay analysis in CMOS VLSI circuits. Existing current source models are expensive and need a new set of Spice-based characterization which is not compatible with typical EDA tools. In this paper we present Imodel, a simple nonlinear logic cell model that can be derived from the typical cell libraries such as NLDM, with accuracy much higher than NLDM-based cell delay models. In fact, our experiments show an average error of 3% compared to Spice. This level of accuracy comes with a maximum runtime penalty of 19% compared to NLDM-based cell delay models on medium sized industrial designs.
An open type mixed quadrature rule is constructed blending the anti-Gauss 3-point rule with Steffensen's 4-point rule. The analytical convergence of the mixed rule is studied. An adaptive integration scheme is designed based on the mixed quadrature rule. A comparative study of the mixed quadrature rule and the Gauss-Laguerre quadrature rule is given by evaluating several improper integrals of the form ∞ ∫ 0 e −x f (x)dx . The advantage of implementing mixed quadrature rule in developing an efficient adaptive integration scheme is shown by evaluating some improper integrals.
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