화학공학소재연구정보센터
Solid-State Electronics, Vol.44, No.12, 2183-2191, 2000
An analysis of process fluctuation induced propagation delay variation using analytical model
The parametric yield of VLSI depends strongly on the statistical process fluctuations. Using an analytical model, this paper analyzes the relations between process fluctuations and circuit performance variations. namely, process-to-device and device-to-circuit response surfaces. It is found that the worst-case for the channel length L, the gate insulator thickness t(ox), and the channel impurity concentration N-chn corresponded to those for the ring oscillator propagation delay tau (pd) when the drain current was estimated using the saturation velocity upsilon (sat), since the response surfaces for L-to-tau (pd), tau (ox)-to-tau (pd) and N-chn-to-tau (pd) were monotonic. The fluctuations of L resulted in a lower tail of the distribution of the NMOS threshold voltage V-thn due to the short-channel effect and a higher tail of the drain saturation current I-dn. However, the distribution of tau (pd) was nearly normal, as the probability of the normal distribution (the P-value) was greater than 5%. This is because the influence of L on tau (pd) was mainly due to the gate capacitance C-g. Also, the non-linear relation between L and V-thn was cancelled by the non-linear I-dn-to-tau (pd) response surface.