A zonotoped macromodeling for reachability verification of eye-diagram in high-speed I/O links with jitter

Abstract

With the use of zonotope to model uncertainty of input data pattern (or jitter), a reachability-based verification is developed in this paper to compute the worst-case eye-diagram. The proposed zonotope-based reachability analysis can consider both spatial and temporal variations in one-time simulation of high-speed I/O links. Moreover, nonlinear zonotoped macromodeling is developed to reduce the verification complexity. As shown by experiments, the zonotoped macromodel achieves up to 450× speedup compared to the Monte Carlo simulation of the original model within small error under specified macromodel order for highspeed I/O links verification.