Abstract
The idea behind this definition is that, for each value of ω, the value of \(\,\mathcal{F}f(\omega )\,\) captures the component of f that has the frequency ω∕(2π) (and period 2π∕ω ).
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
Bibliography
Butz, T.: Fourier Transformation for Pedestrians. Springer, Berlin (2006)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Feeman, T.G. (2015). The Fourier Transform. In: The Mathematics of Medical Imaging. Springer Undergraduate Texts in Mathematics and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-22665-1_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-22665-1_5
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-22664-4
Online ISBN: 978-3-319-22665-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)