Exercise 6.33
Posted: Sun Jul 10, 2022 10:52 am
Exercise 6.33
Exercise 6.33. Show that the Discrete Fourier Transform in CN of the Fourier basis vector e; is given by the standard basis vector sj, that is, j = sj, for 0 ≤ j≤N-1. Start with the case N = 4. Although the Fourier basis is not localized at all, its Fourier trans- form is as localized as possible. We say the Fourier basis is localized in frequency, but not in space or time.
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