Analytical Delay Modeling for a Sub-Threshold Cell Circuit with the Inverse Gaussian Distribution Function

Considering that power consumption (PC) is an extremely important indicator in digital circuit design, lower PC has always been our pursuit. and supply voltage are positively correlated, this case, we must reduce the operating of circuit. However, as continues to decrease, various secondary effects process variations become increasingly influential, making delay distribution its statistical characteristics more difficult predict. In paper, inverse Gaussian used model propagation delay. Taking into account local variation, multi-input analytical expression derived according sub-threshold current formula accurately predict delay, obtained by calculation instead Monte Carlo simulation, which greatly reduces simulation time. The accuracy have tested under 22 nm FDSOI technology good results were with voltages from 0.20 V 0.30 V, mean error approx. 1.5%, variance 4.3%, cumulative function 2%.