Skip to main content

Building Models from Frequency Domain Data

  • Conference paper

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 74))

Abstract

The interplay between the time and frequency domains for linear systems is well .known and most useful. In the case of identifying linear models from observed data, this interplay manifests itself in two ways.

The observed data is of course primarily recorded in the time domain (even though the recording equipment may deliver them in the frequency domain). To build linear models from the data we can either do the fitting in the time domain and evaluate the resulting modle’s properties in the frequency domain. We can also transfer the data themselves to the frequency domain and fit models directly there. In this contribution we shall consider some aspects of these two possibilities.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Akaike, Maximum likelihood identification of gaussian autoregregressive moving average models., Biometrika, 20 (1973), pp. 255–265.

    Article  MathSciNet  Google Scholar 

  2. D. R. Brillinger, Time Series: Data Analysis and Thoery, Holden-Day, San Francisco, 1981.

    Google Scholar 

  3. J. E. Dennis AND R. B. Schnabel, Numerical methods for unconstrained optimization and nonlinear equations, Prentice-Hall, 1983.

    Google Scholar 

  4. E. J. Hannan, Multiple Time Series, Wiley, New York, 1970.

    Book  MATH  Google Scholar 

  5. P. V. Kabaila AND G. C. Goodwin, On the estimation of the parameters of an optimal interpolator when the class of interpolators is restricted, SIAM J. Control and Optimization, 18 (1980), pp. 121–144.

    Article  MathSciNet  MATH  Google Scholar 

  6. E. C. Levi, Complex-curve fitting, IRE Trans, on Automatic Control, AC-4 (1959), pp. 37–44.

    Google Scholar 

  7. L. Ljung, System Identification-Theory for the User, Prentice-Hall, Englewood Cliffs, N.J., 1987.

    MATH  Google Scholar 

  8. B. M. Ninness, Stochastic and Deterministic Modeling, PhD thesis, Dept. of Electrical Engineering, University of Newcastle, NSW, Australia, August, 1993.

    Google Scholar 

  9. J. Schoukens AND R. Pintelon, Identification of Linear Systems: A Practical Guideline to Accurate Modeling, Pergamon Press, London (U.K.), 1991.

    MATH  Google Scholar 

  10. A. van den Bos, Identification of continuous-time systems using multiharmonic test signals, Identification of Continuous-Time Systems, (1992). Edited by Sinha and Rao, Kluwer Academic, Dordrecht (The Netherlands).

    Google Scholar 

  11. B. Wahlberg, System identification using Laguerre models, IEEE Trans. Automatic Control, AC-36 (1991), pp. 551–562.

    Article  MathSciNet  Google Scholar 

  12. P. Whittle, Hypothesis Testing in Time Series Analysis, PhD thesis, Uppsala University, Almqvist and Wiksell, Uppsala. Hafner, New York, 1951.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer Science+Business Media New York

About this paper

Cite this paper

Ljung, L. (1995). Building Models from Frequency Domain Data. In: Åström, K.J., Goodwin, G.C., Kumar, P.R. (eds) Adaptive Control, Filtering, and Signal Processing. The IMA Volumes in Mathematics and its Applications, vol 74. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8568-2_10

Download citation

  • DOI: https://doi.org/10.1007/978-1-4419-8568-2_10

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6439-2

  • Online ISBN: 978-1-4419-8568-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics