Time-Domain Non-Monte Carlo Noise Simulation for Nonlinear Dynamic Circuits with Arbitrary Excitations

  • Alper Demir
  • Edward W. Y. Liu
  • Alberto L. Sangiovanni-Vincentelli

Abstract

A new, time-domain, non-Monte Carlo method for computer simulation of electrical noise in nonlinear dynamic circuits with arbitrary excitations is presented. This time-domain noise simulation method is based on the results from the theory of stochastic differential equations. The noise simulation method is general in the sense that any nonlinear dynamic circuit with any kind of excitation, which can be simulated by the transient analysis routine in a circuit simulator, can be simulated by our noise simulator in time-domain to produce the noise variances and covariances of circuit variables as a function of time, provided that noise models for the devices in the circuit are available. Noise correlations between circuit variables at different time points can also be calculated. Previous work on computer simulation of noise in integrated circuits is reviewed with comparisons to our method. Shot, thermal and flicker noise models for integrated-circuit devices, in the context of our time-domain noise simulation method, are described. The implementation of this noise simulation method in a circuit simulator (SPICE) is described. Two examples of noise simulation (a CMOS ring-oscillator and a BJT active mixer) are given.

Keywords

Microwave Covariance Assure Turkey Hull 

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References

  1. [1]
    P.R. Gray and R.G. Meyer, Analysis and Design of Analog Integrated Circuits. John Wiley & Sons, second edition, 1984.Google Scholar
  2. [2]
    CD. Hull, Analysis and Optimization of Monolithic RF Down Conversion Receivers. PhD thesis, University of California, Berkeley, 1992.Google Scholar
  3. [3]
    CD. Hull and R.G. Meyer, “A systematic approach to the analysis of noise in mixers,” IEEE Transactions on Circuits and Systems-1: Fundamental Theory and Applications, vol. 40, no. 12, December 1993.Google Scholar
  4. [4]
    R. Rohrer, L. Nagel, R.G. Meyer, and L. Weber, “Computationally efficient electronic-circuit noise calculations,” IEEE Journal of Solid-State Circuits, vol. SC-6, no. 4, August 1971.Google Scholar
  5. [5]
    R.G. Meyer, L. Nagel, and S.K Lui, “Computer simulation of 1/ f noise performance of electronic circuits,” IEEE Journal of Solid-State Circuits,June 1973.Google Scholar
  6. [6]
    M. Okumura, H. Tanimoto, T. Itakura, and T. Sugawara, “Numerical noise analysis for nonlinear circuits with a periodic large signal excitation including cyclostationary noise sources,” IEEE Transactions on Circuits and Systems-1: Fundamental Theory and Applications, vol. 40, no. 9, September 1993.Google Scholar
  7. [7]
    P. Bolcato and R. Poujois, “A new approach for noise simulation in transient analysis,” in Proc. IEEE International Symposium on Circuits and Systems, May 1992.Google Scholar
  8. [8]
    A. Jordan and N. Jordan, “Theory of noise in metal oxide semiconductor devices,” IEEE Transactions on Electron Devices, March 1965.Google Scholar
  9. [9]
    B. Pellegrini, R. Saletti, B. Neri, and P. Terreni, “l/f v noise generators,” in Noise in Physical Systems and 1/f Noise, 1985.Google Scholar
  10. [10]
    A.L. Sangiovanni-Vincentelli, “Circuit simulation,” in Computer Design Aids for VLSI Circuits. Sijthoff & Noordhoff, The Netherlands, 1980.Google Scholar
  11. [11]
    L. Arnold, Stochastic Differential Equations: Theory and Applications. John Wiley & Sons, 1974.MATHGoogle Scholar
  12. [12]
    RE. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equations. Springer-Verlag, 1992.MATHGoogle Scholar
  13. [13]
    V.S. Pugachev and I.N. Sinitsyn, Stochastic Differential Systems: Analysis and Filtering. Wiley, 1987.MATHGoogle Scholar
  14. [14]
    T.L. Quarles, Analysis of Performance and Convergence Issues for Circuit Simulation.PhD thesis, University of California, Berkeley, 1989.Google Scholar
  15. [15]
    A. Demir, E. Liu, A.L. Sangiovanni-Vincentelli and I. Vassiliou, “Behavioral Simulation Techniques for Phase/Delay-Locked Systems,” Proc. IEEE Custom Integrated Circuits Conference, May 1994.Google Scholar
  16. [16]
    A. Demir. Time-Domain non-Monte Carlo Noise Simulation for Nonlinear Dynamic Circuits with Arbitrary Excitations. Technical Report UCB/ERL M94/39, University of California, Berkeley, May 1994.Google Scholar
  17. [17]
    E. Tomacruz, J. Sanghavi, and A. Sangiovanni-Vincentelli, “A parallel iterative linear solver for solving irregular grid semiconductor device matrices,” in Supercomputing, 1994.Google Scholar

Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Alper Demir
    • 1
    • 2
  • Edward W. Y. Liu
    • 1
  • Alberto L. Sangiovanni-Vincentelli
    • 1
  1. 1.Department of Electrical Engineering & Computer SciencesUniversity of CaliforniaBerkeleyUSA
  2. 2.Koç UniversityIstanbulTurkey

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