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>> Of course there is, try it. If you create a frequency that is half-way
>> between two frequencies in the DFT, your DFT histogram will still look
>> the
>> same shape, the peak will just be shared between the two frequencies.
>
> The same shape as what?
As a frequency that is exactly lined up with one of the bands of the DFT.
> Basically you are saying that you can recreate a sine wave (which is one
> single frequency) with the sum of two sine waves (the two frequencies in
> the discrete frequency spectrum)?
No, I am saying that given a finite DFT transform result with more than one
non-zero entry, if you perform the inverse DFT you will recreate a single
frequency sine wave.
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