Timeline for What is the optimal transient for turning on a harmonic signal with minimal bandwidth?
Current License: CC BY-SA 4.0
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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 |