A Novel Delay Calibration Method Considering Interaction between Cells and Wires

In the advanced technology, the accuracy of cell and wire delay modeling are the key metrics for timing analysis. However, when the supply voltage decreases to the near-threshold regime, the complicated process variation effect causes the cell delay and the wire delay hard to model. Most researchers study cell or wire delay separately, ignoring the coefficients between them. In this paper, we propose an N-sigma delay model by characterizing different sigma levels
$\mathbf{(-3\sigma {to}+3\sigma)}$
of the cell and wire delay distribution. The N-sigma cell delay model is represented by the first four moments and calibrated by the operating conditions (input slew, output load). Meanwhile, based on the Elmore model, the wire delay variability is calculated by considering the effect of drive and load cells. The delay models are verified through the ISCAS85 benchmarks and the functional units of PULPino processor with TSMC 28 nm technology. Compared to the SPICE results, the average errors for estimating the
$+/-\mathbf{3\sigma}$
cell delay are 2.1 % and 2.7% and those of the wire delay are 2.4% and 1.6%, respectively. The errors of path delay analysis keep below 6.6% and the speed is 103X over SPICE MC simulations.