Skip to main content
SpringerLink
Log in

Spectral Analysis of Deterministic Process

  • Chapter
  • First Online:
Operational Modal Analysis

  • 2420 Accesses

Abstract

This chapter analyzes a deterministic process in the frequency domain via Fourier series (for period process) and Fourier Transform (for non-period process). Estimators based on a sample time history of the process are introduced and their possible distortions arising from finite sampling rate (aliasing) and duration (leakage) are discussed. The Fast Fourier Transform provides an efficient computational tool for digital implementation. The chapter contains a section that connects the presented mathematical theory to implementation in Matlab, which is a convenient platform for scientific computing.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 279.99
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

References

  • Boyce WE, DiPrima RC (2005) Elementary differential equations and boundary value problems, 8th edn. John Wiley & Sons, New Jersey

    MATH  Google Scholar 

  • Champeney DC (1987) A handbook of Fourier theorems. Cambridge University Press, Cambridge

    Book  MATH  Google Scholar 

  • Cooley JW, Tukey JW (1965) An algorithm for the machine calculation of complex Fourier series. Math Comput 19(90):297–301

    Article  MathSciNet  MATH  Google Scholar 

  • Lathi BP (2000) Signal processing and linear systems. Oxford University Press, UK

    Google Scholar 

  • Smith SW (2002) Digital signal processing: a practical guide for engineers and scientists. Newnes, USA. Downloadable from http://www.dspguide.com/

  • Sundararajan D (2001) The discrete Fourier transform: theory, algorithms and applications. World Scientific Publishing Company, Singapore

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Center for Engineering Dynamics and Institute for Risk and Uncertainty, University of Liverpool, Liverpool, UK

    Siu-Kui Au

Authors
  1. Siu-Kui Au
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Siu-Kui Au .

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Nature Singapore Pte Ltd.

About this chapter

Cite this chapter

Au, SK. (2017). Spectral Analysis of Deterministic Process. In: Operational Modal Analysis. Springer, Singapore. https://doi.org/10.1007/978-981-10-4118-1_2

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-4118-1_2

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-4117-4

  • Online ISBN: 978-981-10-4118-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation