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Mar 21, 2020 at 3:51 comment added user1068636 No problem, this was very helpful
Mar 21, 2020 at 3:50 vote accept user1068636
Mar 21, 2020 at 3:50 comment added Dan Boschen But if you are asking for an example of sequence that would have an DFT that is not real, then refer again to my other question that I linked - it has all the properties of the FT they are trying to make sure you know. (Sorry if I seem like I am being cagey--- we're not supposed to do your homework for you but happy to help where you are stuck)
Mar 21, 2020 at 3:46 comment added Dan Boschen Any complex or imaginary number, so j would be the simplest example. Also $5e^{j\pi/3}$ or 2 + j3 are other examples.
Mar 21, 2020 at 3:44 answer added Dan Boschen timeline score: 2
Mar 21, 2020 at 3:43 comment added user1068636 @DanBoschen - I can ask a new question if you want. But just curious if you know of an example of a discrete signal whose phase is not 0 or $\pi$ ?
Mar 21, 2020 at 3:40 comment added Dan Boschen If the real number is positive the phase is $0$, if the real number is negative, the phase is $\pi$. It's that simple.
Mar 21, 2020 at 3:40 comment added user1068636 @DanBoschen - I am following what you are saying. But is there some general formula for finding the phase of an arbitrary list of real numbers?
Mar 21, 2020 at 3:37 comment added Dan Boschen the phase of a real signal can be $0$ or $\pi$, right? Solve for the DFT and then look at the sign if they are all negative then the phase is $\pi$
Mar 21, 2020 at 3:35 comment added user1068636 If you are saying the phase is zero, then why is the answer in textbook $\pi$ ?
Mar 21, 2020 at 3:34 comment added Dan Boschen Your signal is real and it is an even function. So the DFT is real. What is the phase of a real signal?
Mar 21, 2020 at 3:33 comment added user1068636 @DanBoschen - I am not sure I see which part of the post is relevant to this question. So the answer to this question is $\pi$, but I'm not sure I see why.
Mar 21, 2020 at 3:30 comment added user1068636 Sorry my mistake. Now it's even
Mar 21, 2020 at 3:30 history edited user1068636 CC BY-SA 4.0
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Mar 21, 2020 at 3:29 comment added Dan Boschen This post should help you: dsp.stackexchange.com/questions/38544/…
Mar 21, 2020 at 3:28 comment added Dan Boschen What you show is not an even signal, did you mean x(n) = {1,2,-3,2,1}?
Mar 21, 2020 at 2:22 history asked user1068636 CC BY-SA 4.0