The discrete Fourier transform (which is what OP is talking about) doesn't satisfy an uncertainty principle as far as I know. The concept doesn't really make sense.
You can talk about these concepts without bringing information or precision into the picture.
https://www.johndcook.com/blog/2021/03/17/fourier-uncertaint...
The discrete Fourier transform (which is what OP is talking about) doesn't satisfy an uncertainty principle as far as I know. The concept doesn't really make sense.
You can talk about these concepts without bringing information or precision into the picture.