Background on Sampling of Signals

  • Juan I. Yuz
  • Graham C. Goodwin
Part of the Communications and Control Engineering book series (CCE)


In this chapter, background on sampling and Fourier analysis of signals is provided. The chapter provides a brief review of the key concepts to establish notation. In particular, the continuous and discrete-time Fourier transform are defined. Sampling of signals and the aliasing effect are then presented. Finally, the use of antialiasing filters and reconstruction of signals from samples are also discussed.


Fourier Transform Inverse Fourier Transform Nyquist Frequency Reconstruction Formula Filter Impulse Response 
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Further Reading

Further details of Fourier analysis can be found in many textbooks, including:

  1. Gasquet C, Witomski P (1998) Fourier analysis and applications: filtering, numerical computations, wavelets. Springer, Berlin Google Scholar
  2. Lathi BP (2004) Linear systems and signals, 2nd edn. Oxford University Press, Oxford Google Scholar
  3. Oppenheim AV, Schafer RW (1999) Discrete-time signal processing, 2nd edn. Prentice Hall International, New York Google Scholar
  4. Stein E, Shakarchi R (2003) Fourier analysis: an introduction. Princeton University Press, Princeton Google Scholar
  5. Churchill RV, Brown JW (2008) Complex variables and applications, 8th edn. McGraw-Hill, Englewood Cliffs Google Scholar

Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  • Juan I. Yuz
    • 1
  • Graham C. Goodwin
    • 2
  1. 1.Departamento de ElectrónicaUniversidad Técnica Federico Santa MaríaValparaísoChile
  2. 2.School of Electrical Engineering & Computer ScienceUniversity of NewcastleCallaghanAustralia

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