Abstract
A discrete function or discrete-time signal can be decomposed into a series of discrete sinusoids. An important difference between Fourier decompositions of continuous-time functions and discrete-time functions is that the process of sampling during discretization renders the Fourier transformations of discrete-time signals periodic. The repetition period of the Fourier function corresponds to the sampling frequency. This property of discrete-time Fourier conversions places some important restrictions on analytical techniques as we shall see.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A.V. Oppenheim and R.W. Schafer Discrete-Time Signal Processing, Prentice Hall, 1989.
R.E. Challis & R.I. Kitney, Biomedical Signal Processing (in four parts) Part I: Time-domain methods, Med.& Biol.Eng. & Comput., 28, 509–524, (1991).
R.E. Challis & R.I. Kitney, Biomedical Signal Processing (in four parts) Part II: The frequency transforms and their interrelationships, Med.& Biol.Eng. & Comput.,29, 1–17, (1991).
R.E. Challis & R.I. Kitney, Biomedical Signal Processing (in four parts) Part III: The Power Spectrum and coherence function, Med.& Biol.Eng. & Comput., 29, 225–241, (1991).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media New York
About this chapter
Cite this chapter
Devasahayam, S.R. (2000). Fourier Analysis for Discrete-Time Processes. In: Signals and Systems in Biomedical Engineering. Topics in Biomedical Engineering International Book Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4299-5_5
Download citation
DOI: https://doi.org/10.1007/978-1-4615-4299-5_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6929-5
Online ISBN: 978-1-4615-4299-5
eBook Packages: Springer Book Archive