Skip to main content

Efficient Statistical Modeling for Circuit Simulation

  • Chapter
Design of System on a Chip

Abstract

Statistical SPICE modeling is necessary for low risk IC design. Here existing approaches to statistical modeling are reviewed, and their limitations are discussed. A four level hierarchy of IC manufacturing variations is presented. Using physically based process and geometry level modeling, sensitivity analysis, and propagation of variance, it is shown how statistical models can be accurately and efficiently derived from the statistical distributions of key device electrical performances, as measured on manufacturing lines. The procedure runs in minutes of am engineering workstation, and guarantees accurate modeling of manufacturing variations.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

12. References

  • Chen, J. C., Hu, C., Liu, Z., and Ko, P. K. (1995) Realistic worst-case SPICE file extraction using BSIM3. Proc. IEEE CICC, 375–8.

    Google Scholar 

  • Cox, P., Yang, P., Mahant-Shetti, S. S., and Chatterjee, P. (1985) Statistical modeling for efficient parametric yield estimation of MOS VLSI circuits. IEEE Trans. Electron Dev., ED-32, 471–8.

    Google Scholar 

  • Davis, W. F. and Ida, R. T. (1989) Statistical IC simulation based on independent wafer extracted process parameters and experimental designs. Proc. IEEE BCTM, 262–5.

    Google Scholar 

  • McAndrew, C. C., Bates, J., Ida, R. T., and Drennan, P. (1997) Efficient statistical BJT modeling, why * is more than Ic/Ib. Proc. IEEE BCTM.

    Google Scholar 

  • Nagel, L. W. (1975) SPICE2: A computer program to simulate semiconductor circuits. Memo. no. ERL-520, Electronics Research Laboratory, University of California, Berkeley.

    Google Scholar 

  • Nassif, S. R. (1994) Statistical worst-case analysis for integrated circuits, in Statistical Approach to VLSI (eds. S. W. Director, W. Maly, and A. Strowjas), North-Holland, 233–53.

    Google Scholar 

  • Ogrodzki J., Opalski, L., and Styblinski, M. (1980) Acceptability regions for a class of linear networks. Proc. IEEE ISCAS, 187–90.

    Google Scholar 

  • Papoulis, A. (1991) Probability, random variables, and stochastic processes, 3rd. edition. McGraw-Hill, New York.

    Google Scholar 

  • Power, J. A., Donellan, B., Mathewson, A., and Lane, W. A. (1994) Relating statistical MOSFET model parameter variabilities to IC manufacturing process fluctuations enabling realistic worst-case design. IEEE Trans. Semicond. Manufact., 7, 306–18.

    Article  Google Scholar 

  • Power, J. A., Kelly, S., Griffith, E., Doyle, D., and O’Neill, M. (1997) Statistical modeling for 0.6µm BiCMOS technology. Proc. IEEE BCTM.

    Google Scholar 

  • Prendergast, E. J. and Lloyd, P. (1985) A highly automated integrated modeling system; MECCA. Proc. IEEE CICC.

    Google Scholar 

  • Rencher, M. and Salamina, N. (1989) Statistical bipolar circuit design using MSTAT. Proc. IEEE ICCAD.

    Google Scholar 

  • Veeraraghavan, S. (1990) SSIM: a new charge-based MOSFET model. MCNC Circuit Simulation Workshop.

    Google Scholar 

  • Vladimirescu, A. and Liu, S. (1980) The simulation of MOS integrated circuits using SPICE2. Memo. no. ERL-M80/7, Electronics Research Laboratory, University of California, Berkeley.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Kluwer Academic Publishers

About this chapter

Cite this chapter

McAndrew, C.C. (2004). Efficient Statistical Modeling for Circuit Simulation. In: Reis, R., Jess, J.A.G. (eds) Design of System on a Chip. Springer, Boston, MA. https://doi.org/10.1007/1-4020-7929-X_4

Download citation

  • DOI: https://doi.org/10.1007/1-4020-7929-X_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4020-7928-3

  • Online ISBN: 978-1-4020-7929-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics