Abstract
Circuit simulation is one of the most important steps during the development of electronic circuits. A standard task for circuit simulation is the transient analysis, the simulation of the chip on transistor level in the time domain. Normally, this simulation does not include noise source. As the supply voltage decreases, the signal-to-noise ratio also decreases and noise effects become more and more important. In this paper the modeling of noise in the time-domain will be described. Especially for flicker noise, new and efficient approaches are presented. For a numerical treatment of the resulting stochastic differential-algebraic equations, a new numerical scheme is given for the charge-oriented formulation of the circuit equations. Finally, the results of numerical experiments are presented
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Demir A., Sangiovanni-Vincentelli A. L. (1998) Analysis and Simulation of Noise in Nonlinear Electronic Circuits and Systems. Kluwer Academic Publishers
Denk G., Hillermeier C., Schäffler St. (2000) Ein Online-Verfahren zur numerischen Simulation von Systemen mit 1/f°-Rauschquellen. Internal report, Infineon Technologies
Engberg J., Larsen T. (1995) Noise theory of linear and nonlinear circuits. John Wiley & Sons
Günther M., Feldmann U. (1999) CAD-based electric-circuit modeling in industry,I II. Sury Math Ind 8:97–157
Kloeden P., Platen E. (1992) Numerical Solution of Stochastic Differential Equations. Applications of Mathematics 23, Springer Verlag
Mandelbrot B., van Ness J. (1968) Fractional Brownian motions, fractional noises and applications. SIAM Review 10:422–437
Oksendal B. (1995) Stochastic Differential Equations. Springer Verlag
Penski C. (2001) Numerische Integration stochastischer differential-algebraischer Gleichungen in elektrischen Schaltungen. Ph.D. thesis, Zentrum Mathematik, TU München
Schein O. Denk G. (1998) Numerical solution of stochastic differential-algebraic equations with applications to transient noise simulation of microelectronic circuits. J. Comput. Appl. Math. 100:77–92
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Denk, G. (2002). Transient Noise Analysis in Circuit Simulation. In: Breuer, M., Durst, F., Zenger, C. (eds) High Performance Scientific And Engineering Computing. Lecture Notes in Computational Science and Engineering, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55919-8_39
Download citation
DOI: https://doi.org/10.1007/978-3-642-55919-8_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42946-3
Online ISBN: 978-3-642-55919-8
eBook Packages: Springer Book Archive