Timeline for Linearizing a multifrequency signal
Current License: CC BY-SA 3.0
6 events
when toggle format | what | by | license | comment | |
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Jan 21, 2015 at 11:24 | comment | added | rhombidodecahedron | To be clear, the first is the one that is periodic in time, right? Its angular frequency would be $(k\omega_1 + \ell\omega_2)$? | |
Jan 21, 2015 at 10:11 | comment | added | Carlo Beenakker | one is periodic in time, the other is not (at least not if $\omega_1$ and $\omega_2$ are incommensurate) | |
Jan 21, 2015 at 8:50 | comment | added | rhombidodecahedron | Thanks for your reply, that is what I had suspected. I'm wondering: is the $\sin(k\omega_1t+\ell\omega_2t)$ formulation a "generalization" of sorts of $\sin(k\omega_1t)+\sin(\ell\omega_2t)+\dots$, or do they describe different systems altogether? | |
Jan 21, 2015 at 7:41 | comment | added | Carlo Beenakker | indeed, it's impossible: just take $\omega_1=0$ to find the dependence on $\omega_2$, then take $\omega_2=0$ to find the dependence on $\omega_1$ and conclude that no such decomposition exists. | |
Jan 21, 2015 at 7:25 | history | edited | rhombidodecahedron | CC BY-SA 3.0 |
deleted 5 characters in body
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Jan 21, 2015 at 6:07 | history | asked | rhombidodecahedron | CC BY-SA 3.0 |