Skip to main content

Simulating Multi-tone Free-running Oscillators with Optimal Sweep Following

  • Conference paper
Progress in Industrial Mathematics at ECMI 2002

Part of the book series: The European Consortium for Mathematics in Industry ((TECMI,volume 5))

  • 483 Accesses

Summary

A new method for the simulation of circuits with widely-varying time scales is given. The method makes a splitting of the behaviour of the circuit into a fast-varying and a slowly-varying component. The method is attractive because it can handle frequency modulated (FM) circuits, unlike existing methods. Numerical results are given.

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 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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.

References

  1. Brachtendorf, H.G., Welsch, G., Laur R., Bunse-Gerstner, A.: Numer- ical steady state analysis of electronic circuits driven by multi-tone signals. Electronic Engineering, 79 103–112, (1996)

    Article  Google Scholar 

  2. Houben, S. H. M. J.: Circuits in Motion - the Simulation of Elec- trical Oscillators. Ph.D. Thesis, Eindhoven University of Technology, Netherlands (2003)

    Google Scholar 

  3. Kundert, K., White, J., Sangiovanni-Vincentelli, A.: An envelope- following method for efficient transient simulation of switching power and filter circuits. Proc. IEEE Int. Conf. on Computer-Aided Design, 446–449, (1988)

    Google Scholar 

  4. Mayaram, K., Lee, D.C., Moinian, S., Rich, D.A., Roychowdhury J.: Computer-aided circuit analysis tools for RFIC simulation: Algorithms, features and limitations. IEEE Transactions on Circuit and Systems — II: Analog and Digital Signal Processing, 47 274–286, (2000)

    Article  Google Scholar 

  5. Pulch, R., Günther, M.: A method of characteristics for solving mul-tirate partial differential equations in radio frequency applications. Universität Karlsruhe, Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung, preprint Nr. 00 /07, (2000)

    Google Scholar 

  6. Roychowdhury, J.: Analysing circuits with widely-separated time scales using numerical PDE methods. IEEE Transactions in Circuit and Systems — 1: Fundamental Theory and Applications, 48 578–594, (2001)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Houben, S.H.M.J. (2004). Simulating Multi-tone Free-running Oscillators with Optimal Sweep Following. In: Buikis, A., ÄŒiegis, R., Fitt, A.D. (eds) Progress in Industrial Mathematics at ECMI 2002. The European Consortium for Mathematics in Industry, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09510-2_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-09510-2_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07262-8

  • Online ISBN: 978-3-662-09510-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics