Adaptive numerical integration methods for deterministic analysis of non-stationary noise in dynamic integrated circuits

Author

Zjajo, Amir ; Tang, Qin ; Berkelaar, Michel ; Van der Meijs, Nick

Author_Institution

Circuits & Syst. Group, Delft Univ. of Technol., Delft, Netherlands

fYear

2011

fDate

6-8 April 2011

Firstpage

1

Lastpage

6

Abstract

This paper reports a new step-size control strategy for adaptive numerical integration in time-domain noise analysis of non-linear dynamic integrated circuits with arbitrary excitations. A non-stationary stochastic noise process is described as an Itô system of stochastic differential equations and a numerical solution for such a set of equations is found. Statistical simulation of dynamic circuits fabricated in 45 nm CMOS process shows that the proposed numerical methods offer an accurate and efficient solution.

Keywords

CMOS integrated circuits; differential equations; integrated circuit noise; integration; stochastic processes; time-domain analysis; CMOS process; adaptive numerical integration method; nonlinear dynamic integrated circuit; nonstationary noise; nonstationary stochastic noise process; size 45 nm; stochastic differential equation; time-domain noise analysis; Approximation methods; Differential equations; Equations; Integrated circuit modeling; Mathematical model; Noise; Stochastic processes; computed aided design; dynamic integrated circuits; integration methods; noise analysis; sotchastic differential equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Design & Technology of Integrated Systems in Nanoscale Era (DTIS), 2011 6th International Conference on

Conference_Location

Athens

Print_ISBN

978-1-61284-899-0

Type

conf

DOI

10.1109/DTIS.2011.5941412

Filename

5941412