| Name: | Fast Fourier Transform (FFT) |
| ID: | m10250 |
| Language: | English (en) |
| Summary: | The DFT can be reduced from exponential time with the Fast Fourier Transform algorithm. |
| Subject: | Science and Technology |
| Keywords: | butterfly, computational complexity, Cooley-Tukey algorithm, DFT, discrete Fourier transform, fast Fourier transform, FFT |
| Document Type: | -//CNX//DTD CNXML 0.5 plus MathML//EN |
| License: | Creative Commons Attribution License (CC-BY 1.0) |
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| Authors: | Don Johnson (dhj@rice.edu) |
| Copyright Holders: | Don Johnson (dhj@rice.edu) |
| Maintainers: | Don Johnson (dhj@rice.edu), CJ Ganier (seejaie@rice.edu), John Cottrell (jac3@rice.edu) |
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| Version: | 2.15 (history) |
| Created: | Aug 8, 2001 12:00 am GMT-5 |
| Revised: | May 31, 2007 10:00 am GMT-5 |
| Version: | 2.15 May 31, 2007 10:00 am GMT-5 by Don Johnson |
| Changes: | Changed a paragraph break. |
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| Version: | 2.14 Apr 15, 2005 3:49 pm GMT-5 by Charlet Reedstrom |
| Changes: | update to cnxml-0.5 |
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| Version: | 2.13 Oct 27, 2003 10:33 am US/Central by Don Johnson |
| Changes: | fixed the same error, but in a different place. |
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| Version: | 2.12 Oct 27, 2003 10:31 am US/Central by Don Johnson |
| Changes: | Fixed a math error. |
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| Version: | 2.11 Jul 27, 2003 3:53 pm GMT-5 by Don Johnson |
| Changes: | Added an exercise at end and fixed typos and link errors. |
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| Version: | 2.10 Aug 16, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | Fixed minor typos. |
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| Version: | 2.9 Aug 7, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | changed script l to L |
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| Version: | 2.8 Aug 4, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | Changed module title and fixed typos. |
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| Version: | 2.7 Jul 10, 2002 12:00 am GMT-5 by (Unknown) |
| Changes: | make some changes and change the version to 0.4. Liqun |
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| Version: | 2.6 Sep 11, 2001 12:00 am GMT-5 by Brent Hendricks |
| Changes: | Converted to CNXML 0.3.5 |
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| Version: | 2.5 Aug 24, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Changed keywords. |
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| Version: | 2.4 Aug 23, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | fixed blanks |
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| Version: | 2.3 Aug 22, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Added link to Gauss |
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| Version: | 2.2 Aug 20, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | I re-uploaded the images and their .eps files. |
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| Version: | 2.1 Aug 8, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | new module created by combining m0504 and m0528 |
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| Version: | 2.0 Aug 8, 2001 12:00 am GMT-5 by (Unknown) |
| Changes: | Added initial template for new module m10250 |
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If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 1.0), you must include
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The following citation styles comply with the attribution requirements for the license (CC-BY 1.0) of this work:
Johnson, D. Fast Fourier Transform (FFT), Connexions Web site. http://cnx.org/content/m10250/2.15/, May 31, 2007.
Johnson D. Fast Fourier Transform (FFT) [Connexions Web site]. May 31, 2007. Available at: http://cnx.org/content/m10250/2.15/.
Johnson, D. (2007, May 31). Fast Fourier Transform (FFT). Retrieved from the Connexions Web site: http://cnx.org/content/m10250/2.15/
Johnson, Don. "Fast Fourier Transform (FFT)." Connexions. May 31, 2007. http://cnx.org/content/m10250/2.15/.
Don Johnson, "Fast Fourier Transform (FFT)," Connexions, May 31, 2007, http://cnx.org/content/m10250/2.15/.
Johnson, D. 2007. Fast Fourier Transform (FFT). Connexions, May 31, 2007. http://cnx.org/content/m10250/2.15/.
Johnson, Don. Fast Fourier Transform (FFT). Connexions. 31 May 2007 <http://cnx.org/content/m10250/2.15/>.