In the paper the analytical formula for the propagation delay of CMOS gate driving a distributed RLC line was derived. It is shown that obtained formula is more acciuate in some cases than used in literanue. The main idea of the presented approach is based on the expansion of the voltage unit step response into Taylor series. The coefficients of this expansion are calculated in symbolical manner in frequency domain as the moments determined for infinite frequency. IntroductionIt is well known that interconnect delay dominates gate

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In the paper, we present a novel PCE-based approach for the effective analysis of worstcase scenario in a wireless telecommunication system. Usually, in such analysis derivation of polynomial chaos expansion (PCE meta-model) of a considered EM field function for one precise set of probability densities of random variables does not provide enough information. Consequently, a number of PCE meta-models of the EM field function should be derived, each for the different joint probability density of a vector of random variables, e.g., associated with different mean (nominal) values of random variables. The general polynomial chaos (gPC) approach requires numerical calculations for each PCE meta-model derivation. In order to significantly decrease the time required to derive all of the PCE meta-models, the novel approach has been introduced. It utilizes the novel so-called primary approximation and the novel analytical formulas. They significantly decrease the number of numerical calculations required to derive all of the PCE meta-models compared with the gPC approach. In the paper, we analyze the stochastic EM fields distributions in a telecommunication system in a spatial domain. For this purpose, analysis of uncertainties associated with a propagation channel as well as with transmitting and receiving antennas was introduced. We take advantage of a ray theory in our analysis. This allows us to provide the novel method for rapid calculation of a PCE meta-model of a telecommunication system transfer function by using the separate PCE meta-models associated with antennas and a propagation channel.

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