Timeline for Confusion regarding Nyquist Sampling Theorem
Current License: CC BY-SA 3.0
4 events
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Apr 13, 2017 at 12:47 | history | edited | CommunityBot |
replaced http://dsp.stackexchange.com/ with https://dsp.stackexchange.com/
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Sep 23, 2016 at 6:55 | comment | added | Laurent Duval | @robertbristowjohnson Thank you for your edit. I wonder about your change of $\ge$ into $>$. I believe that conditions on $x$ (which I did not state) may change the point of view. From my memory, for the uniform convergence of the reconstruction, if $x$ is integrable, then you can use $|f|>B$ (but the cosine is not in that class). However, if you only require $x$ to be of exponential type (which apply to the sine then), then you need null spectrum for $|f|\ge B$, see (2.2) in link.springer.com/chapter/10.1007%2F978-3-0348-5432-0_33 | |
Sep 22, 2016 at 21:56 | history | edited | robert bristow-johnson | CC BY-SA 3.0 |
added 12 characters in body
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Sep 22, 2016 at 21:48 | history | answered | Laurent Duval | CC BY-SA 3.0 |