A taylor series methodology for analyzing the effects of process variation on circuit operation

Autor:	H.W. Carter, Raghuram Srinivasan
Rok vydání:	2009
Předmět:	Power series Differential equation Mathematical analysis Monte Carlo method Interval (mathematics) Process variation symbols.namesake ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Taylor series symbols Netlist Applied mathematics Differential algebraic equation Mathematics
Zdroj:	ACM Great Lakes Symposium on VLSI
DOI:	10.1145/1531542.1531593
Popis:	We present a methodology that can analyze the effect of process variations without requiring the repeated simulations of a Monte Carlo type method. A graph theoretic procedure is described to obtain an explicit differential equation from the differential algebraic equations modeling a circuit netlist. With this explicit form, Taylor series polynomials are used to represent the system variables. The non-constant process parameters are represented as intervals, the Taylor series expansion is used to perform interval computations to generate bounds for the system variables. Methods are discussed to prevent blow-up of intervals during the time marching method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f02a0f1ecf943a4312fe0dbe85e90305 https://doi.org/10.1145/1531542.1531593 Zobrazit plný text záznamu