Skip to main content

Modelling and simulation of transient noise in circuit simulation

Buy Article:

$59.35 plus tax (Refund Policy)


This paper presents a new approach to the transient noise analysis of integrated circuits. This approach consists of two parts, the modelling of noise sources in the time domain and the development of numerical schemes for stochastic differential-algebraic equations. The noise sources include thermal noise, shot noise, and flicker noise and their modelling is based on generalized stochastic processes. Brownian motion is the starting point for the modelling of white-noise sources (thermal and shot noise), while fractional Brownian motion is used for flicker noise sources. The numerical schemes employed for the computation of solution paths adapt well-known methods for stochastic differential equations to the specific situation within circuit simulation. Under the assumption of small noise the convergence properties of the drift-implicit Euler scheme and the drift-implicit Milstein scheme are proved. Finally numerical experiments with real-world circuits are presented.

Keywords: Circuit simulation; Drift-implicit Euler scheme; Flicker noise; Stochastic differential-algebraic equations; Transient noise analysis

Document Type: Research Article


Affiliations: 1: Infineon Technologies, Memory Products, München, Germany 2: Humboldt-Universität Berlin, Institut für Mathematik, Berlin, Germany

Publication date: August 1, 2007


Access Key

Free Content
Free content
New Content
New content
Open Access Content
Open access content
Subscribed Content
Subscribed content
Free Trial Content
Free trial content
Cookie Policy
Cookie Policy
ingentaconnect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more