closed-form solution for timing analysis of process variations on swcnt interconnect
In this paper, a comprehensive and fast method is presented for the timing analysis of process variations on single-walled carbon nanotube (SWCNT) bundles. Unlike previous works that based on SPICE tools to estimate the delay, this paper proposes a closed-form solution for SWCNT interconnect timing analysis. With the assumption that the process variations are independent random variables, the delay of SWCNT bundles are mapped to a linear function of the variation variables, and efficiently calculated in the form of probability density functions (PDFs). Compared to SPICE-based solutions, this approach not only saves considerable computation time, but also provides a more comprehensive result, for it shows a compound impact of all variations, and covers all of the potential cases with their corresponding probabilities, rather than only one parameter can vary at a time, and only a worst case estimation is considered. The experiment results show that this solution bears little loss while providing the above mentioned advantages. Compared with SPICE-based Monte Carlo simulations, the experiments report the error in mean and standard deviation of delay to be 1.5\% and 1.7\% respectively.
closed-form timing analysis process variation interconnect carbon nanotube