| Name: | Decimation-in-Frequency (DIF) Radix-2 FFT |
| ID: | m12018 |
| Language: | English (en) |
| Summary: | The radix-2 algorithms are the simplest FFT algorithms. The decimation-in-frequency (DIF) radix-2 FFT partitions the DFT computation into even-indexed and odd-indexed outputs, which can each be computed by shorter-length DFTs of different combinations of input samples. Recursive application of this decomposition to the shorter-length DFTs results in the full radix-2 decimation-in-frequency FFT. |
| Subject: | Science and Technology |
| Keywords: | Cooley-Tukey, decimation in frequency, fast Fourier transform, FFT, radix-2, twiddle factor |
| Document Type: | -//CNX//DTD CNXML 0.5 plus MathML//EN |
| License: | Creative Commons Attribution License (CC-BY 1.0) |
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| Authors: | Douglas L. Jones (dl-jones@uiuc.edu) |
| Copyright Holders: | Douglas L. Jones (dl-jones@uiuc.edu) |
| Maintainers: | Douglas L. Jones (dl-jones@uiuc.edu), Harika Basana (ilsai@rice.edu), Kyle Clarkson (kclarks@gmail.com) |
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| Version: | 1.6 (history) |
| Created: | May 17, 2004 3:59 pm GMT-5 |
| Revised: | Sep 17, 2006 8:47 am GMT-5 |
| Version: | 1.6 Sep 17, 2006 8:47 am GMT-5 by Douglas L. Jones |
| Changes: | Added a lot of text. Fixed typos and equation errors. Added many links in text. |
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| Version: | 1.5 Jul 23, 2004 11:35 am GMT-5 by Kyle Clarkson |
| Changes: | Added .eps versions of images |
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| Version: | 1.4 Jun 21, 2004 2:32 pm GMT-5 by Kyle Clarkson |
| Changes: | Fixed Typo in Title |
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| Version: | 1.3 Jun 18, 2004 3:08 pm GMT-5 by Kyle Clarkson |
| Changes: | Added cnxns and links |
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| Version: | 1.2 Jun 17, 2004 2:03 pm GMT-5 by Kyle Clarkson |
| Changes: | changed images to pngs |
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| Version: | 1.1 Jun 7, 2004 3:57 pm GMT-5 by Kyle Clarkson |
| Changes: | First Submission |
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Jones, D. Decimation-in-Frequency (DIF) Radix-2 FFT, Connexions Web site. http://cnx.org/content/m12018/1.6/, Sep 17, 2006.
Jones D. Decimation-in-Frequency (DIF) Radix-2 FFT [Connexions Web site]. September 17, 2006. Available at: http://cnx.org/content/m12018/1.6/.
Jones, D. (2006, September 17). Decimation-in-Frequency (DIF) Radix-2 FFT. Retrieved from the Connexions Web site: http://cnx.org/content/m12018/1.6/
Jones, Douglas. "Decimation-in-Frequency (DIF) Radix-2 FFT." Connexions. September 17, 2006. http://cnx.org/content/m12018/1.6/.
Douglas Jones, "Decimation-in-Frequency (DIF) Radix-2 FFT," Connexions, September 17, 2006, http://cnx.org/content/m12018/1.6/.
Jones, D. 2006. Decimation-in-Frequency (DIF) Radix-2 FFT. Connexions, September 17, 2006. http://cnx.org/content/m12018/1.6/.
Jones, Douglas. Decimation-in-Frequency (DIF) Radix-2 FFT. Connexions. 17 Sep. 2006 <http://cnx.org/content/m12018/1.6/>.