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Aug 13, 2022 at 13:44 answer added Hilmar timeline score: 1
Aug 12, 2022 at 22:15 comment added Jazzmaniac You could try $\exp(-t^{-2})$ for $t>0$. All derivatives vanish at $t\to+0$ and it fades from 0 to 1 as quickly as you want, simply by rescaling the t-axis. As time-derivatives are directly related to the asymptotic behaviour of the Fourier transform, you can make an educated hand-waving argument that this could be very close to ideal.
Aug 12, 2022 at 20:53 answer added a concerned citizen timeline score: 0
Aug 12, 2022 at 20:22 history edited mattze_frisch CC BY-SA 4.0
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Aug 12, 2022 at 20:16 comment added mattze_frisch On a side note, I'm also wondering if there exists something like a brachistochrone for this problem, i.e. an optimal solution that also minimizes the time window required for turning on the signal.
Aug 12, 2022 at 20:13 history edited mattze_frisch CC BY-SA 4.0
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S Aug 12, 2022 at 20:11 review First questions
Aug 12, 2022 at 21:23
S Aug 12, 2022 at 20:11 history asked mattze_frisch CC BY-SA 4.0