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Jul 6, 2023 at 22:28 comment added robert bristow-johnson Oh, you're right. I just looked at it wrong. Multiplying by 1/2 is not the same as adding 1/2.
Jul 6, 2023 at 22:26 comment added robert bristow-johnson Matt, it samples at $t=-\frac12$ and at $t=+\frac12$. I don't see it sampling at $t=0$.
Jul 6, 2023 at 20:59 comment added Matt L. @robertbristow-johnson: Sampling of the discontinuity happens at $n=0$. That's also where $\frac12\delta(t)$ comes from.
Jul 6, 2023 at 20:31 comment added robert bristow-johnson In your Eq. (1), I don't see where that $\frac12 \delta(t)$ comes from.
Jul 6, 2023 at 20:27 comment added robert bristow-johnson I didn't go through the math, but it seems to me that this should be straight forward since the dirac impulse train was offset by 1/2 meaning that there is no sampling of the edge of $e^{-t} u(t)$. I don't see any jump discontinuity getting sampled.
Jul 6, 2023 at 18:48 comment added Ahsan Yousaf + 1 Very nice. I actually had no idea about this correction. Thanks for bringing it to our attention!
Jul 6, 2023 at 18:40 history edited Matt L. CC BY-SA 4.0
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Jul 6, 2023 at 15:37 history answered Matt L. CC BY-SA 4.0