DocumentCode
1256071
Title
Periodic functions and the discrete Fourier transform: a time-domain view
Author
Keller, Donald M.
Author_Institution
Dept. of Electr. Eng., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA
Volume
34
Issue
1
fYear
1991
fDate
2/1/1991 12:00:00 AM
Firstpage
36
Lastpage
38
Abstract
The discrete Fourier transform (DFT) is often used to compute the Fourier series coefficients of periodic functions. Most explanations of this process rely on advanced concepts from Fourier transform theory; as an alternative, it is shown by the author that the DFT may be derived solely in the time domain, and that this derivation leads to the well-known relation between sampling rate and aliasing. Also included is an extension of the DFT to multiple dimensions
Keywords
fast Fourier transforms; time-domain analysis; FFT; Fourier series coefficients; aliasing; discrete Fourier transform; fast Fourier transform; periodic functions; sampling rate; time domain; Discrete Fourier transforms; Fourier series; Fourier transforms; Helium; Multidimensional systems; Partitioning algorithms; Sampling methods; Spectral analysis; Time domain analysis; Time series analysis;
fLanguage
English
Journal_Title
Education, IEEE Transactions on
Publisher
ieee
ISSN
0018-9359
Type
jour
DOI
10.1109/13.79877
Filename
79877
Link To Document