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Selected figures from the DFT book

Each of the following figures from the book is provided in two different file formats: as a PostScript file, and as a PDF file. Both formats should give precisely the same printed results. Click on the highlighted "PS" or "PDF" indicator next to each of the items below to download the corresponding PostScript or PDF file. Further information on printing PostScript files is given here; further information on printing PDF files is given here.

These figures accompany the book Mastering the Discrete Fourier Transform in One, Two or Several Dimensions: Pitfalls and Artifacts by I. Amidror, published by Springer, 2013. All the references below are made to this book.



Contents of this page:



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Figures from Chapter 2:


Example of the limitations of DFT as an approximation to CFT:



Figures from Chapter 3:


Graphical illustration of the output reorganization operation:


Example of spectral manipulation (filtering) by DFT:



Figures from Chapter 4:


True units along the axes when plotting the DFT input and output:



Figures from Chapter 5:


Illustration of the signal-domain interpretation of aliasing (a periodic case):


Illustration of the signal-domain interpretation of aliasing (an aperiodic case):


Illustration of the Fourier-domain interpretation of aliasing:



Figures from Chapter 6:


The effect of truncation on the spectrum of a signal in the continuous world:


The effect of truncation on the spectrum of a cosinusoidal signal in the continuous world:



Figures from Chapter 8:


The continuous-world sinc function and its spectrum, and their discrete counterparts:


Spectral-domain explanation of the sub-Nyquist artifact:



Figures from the appendices:


Schematic illustration of the 6 data extension methods discussed in Appendix B:



The cover figures:


Front cover figure:

Aliasing due to insufficient sampling rate may give unexpected shapes both in the signal domain and in the spectral domain. For more details see Figure 5.17 in the book.



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Last modified: 2014/06/24