15.1 Consider a simple RC circuit model for a point-to-point interconnect in CMOS chips. The 50% delay time for a step input pulse is
τ50% = 0.38 RC
Both R and C values are subject to random fluctuations due to process variations.
(a). Express the sensitivities of τ50% with respect to R and C.
(b). Express the percentage change in the delay in terms of percentage changes in both R and C values under the assumption that their values can vary independently.
(c). Determine the largest delay increase possible due to ±10% fluctuations in both R and C values.
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