Patent ID: 7630852
Filing Date: 2009-12-08
Classification: G06F

Abstract:
1. A method for analyzing integrated circuit system performance, the method comprising: receiving system variables that correspond to an integrated circuit system; normalizing the system variables; using an infinite dimensional Hilbert space, modeling a system response as a series of orthogonal polynomials so that the series of orthogonal polynomials has an order N, for arbitrary N; solving for coefficients of the series of orthogonal polynomials by using at least one of a first equation representative of the integrated circuit system and a simulated system response of the integrated circuit system; wherein the solving for coefficients comprises using the statistical expectation of the product of the system response and the series of orthogonal polynomials; wherein using the statistical expectation further comprises performing a multi-dimensional integration over the dimensional space associated with the system variables, wherein the multi-dimensional integration is a numerical integration using simulated system response values, and wherein the multi-dimensional integration comprises at least one of a full quadrature-based integration and a sparse quadrature-based integration.