Abstract
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.
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Further Reading
Further details of Fourier analysis can be found in many textbooks, including:
Gasquet C, Witomski P (1998) Fourier analysis and applications: filtering, numerical computations, wavelets. Springer, Berlin
Lathi BP (2004) Linear systems and signals, 2nd edn. Oxford University Press, Oxford
Oppenheim AV, Schafer RW (1999) Discrete-time signal processing, 2nd edn. Prentice Hall International, New York
Stein E, Shakarchi R (2003) Fourier analysis: an introduction. Princeton University Press, Princeton
Churchill RV, Brown JW (2008) Complex variables and applications, 8th edn. McGraw-Hill, Englewood Cliffs
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© 2014 Springer-Verlag London
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Yuz, J.I., Goodwin, G.C. (2014). Background on Sampling of Signals. In: Sampled-Data Models for Linear and Nonlinear Systems. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-5562-1_2
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DOI: https://doi.org/10.1007/978-1-4471-5562-1_2
Publisher Name: Springer, London
Print ISBN: 978-1-4471-5561-4
Online ISBN: 978-1-4471-5562-1
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