Timeline for Is the fundamental basis function of the DFT not an intregral number of cycles?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Dec 21, 2016 at 4:33 | comment | added | robert bristow-johnson | I have a rigid, Nazi-like position that the Discrete Fourier Transform and the Discrete Fourier Series are one and the same thing. The DFT maps a periodic function with period of $N$ samples in one domain (say, the "time domain") to another periodic function having the same period $N$ in the reciprocal domain (e.g. "frequency domain"). And the iDFT maps it back. The fundamental basis functions all have an integer number of cycles in the period length of $N$. That's the only way you can use the theorems (like offset or convolution using multiplication) is to assume periodic extension. | |
| S Dec 20, 2016 at 9:34 | history | suggested | Gilles | CC BY-SA 3.0 | improved formatting |
| Dec 20, 2016 at 7:00 | review | Suggested edits | |||
| S Dec 20, 2016 at 9:34 | |||||
| Dec 20, 2016 at 1:55 | vote | accept | jbiondo | ||
| Dec 19, 2016 at 23:00 | answer | added | Marcus Müller | timeline score: 2 | |
| Dec 19, 2016 at 22:33 | review | First posts | |||
| Dec 19, 2016 at 23:26 | |||||
| Dec 19, 2016 at 22:32 | history | asked | jbiondo | CC BY-SA 3.0 |