Circuit Simulations with Uncertainties using Affine Arithmetic and Piecewise Affine Statemodels
Especially in the field of safety critical applications the impact of process variations on the behavior of integrated circuits can not be neglected. Usually,simulation is costly due to the need for multiple simulation runs with different technology parameter settings. In the past,semi-symbolic-simulation applying affine arithmetic (AA) 1,as a suitable range arithmetic,has produced very motivating results on netlistlevel 2. Using AA reduces the complexity without loosing generality of the simulation results. This paper covers the formulation of effective highlevel circuit models. We use piecewise affine functions to model the circuit and to provide fast simulations while simultaneously achieving good convergence. The equations are separated into matrices for linear mapping and matrices for the representation of the systems state. We formulate the uncertainties within the system with affine terms entered in the system matrices. Furthermore,we present the relevant solution algorithms for the semi symbolic simulation and their implementation.
M.Freisfeld M.Olbrich E.Barke
Leibniz Universitaet Hannover,Germany
国际会议
9th International Conference on Solid-State and Integrated-Circuit Technology(第9届固态和集成电路国际会议)
北京
英文
496-499
2008-10-20（万方平台首次上网日期，不代表论文的发表时间）