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Timeline for Phase Spectrum in Fourier Transform

Current License: CC BY-SA 4.0

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Aug 6, 2020 at 22:03 history bumped CommunityBot This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
Jul 7, 2020 at 22:46 comment added Cedron Dawg Perhaps Nathan has an answer for "What is the angle of 0+0i?" For a pure tone with a whole number of cycle in the frame, the off value bins will be zero theoretically and some meaningless error value numerically.
Jul 7, 2020 at 22:43 comment added Muhammed Mahmood According to explanation by Nathan there should be essentially 0 phase angle because this being a pure sinewave with no phase shift. The idea of this being an issue with sampling rate makes sense but I'm confused now. Explanation by Nathan suggested my phase spectrum might be wrong
Jul 7, 2020 at 22:42 comment added Cedron Dawg The second cited equation. Numbers in parentheses in academic papers are reference numbers of equations.
Jul 7, 2020 at 22:41 comment added Cedron Dawg Who says you did anything wrong. Looking a Matlab code makes me go blind. You are better off in my opinion learning the DFT devoid of a Hz interpretation, it has to do with the sampling rate, not the behavior of the DFT. Print the magnitudes of the bins, don't plot them. Tell me they aren't effectively zero.
Jul 7, 2020 at 22:40 comment added Muhammed Mahmood Sorry you lost me there where is (19) in your answer.
Jul 7, 2020 at 22:37 comment added Cedron Dawg The half factor is correct. The other half is in the complex conjugate mirror image bin. This is because $$ \cos(\theta) = \frac{e^{i\theta}+e^{-i\theta}}{2}$$ See the 1/2 there? It is also there in (19) from my answer.
Jul 7, 2020 at 20:18 answer added hotpaw2 timeline score: 0
Jul 7, 2020 at 18:26 answer added Cedron Dawg timeline score: 0
Jul 7, 2020 at 14:56 answer added Nathan Huchon timeline score: 1
Jul 7, 2020 at 14:50 history edited A_A CC BY-SA 4.0
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Jul 7, 2020 at 14:25 history edited Muhammed Mahmood CC BY-SA 4.0
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Jul 7, 2020 at 14:05 review First posts
Jul 7, 2020 at 14:42
Jul 7, 2020 at 14:05 history asked Muhammed Mahmood CC BY-SA 4.0