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Timeline for Linearizing a multifrequency signal

Current License: CC BY-SA 3.0

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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
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Jan 21, 2015 at 6:07 history asked rhombidodecahedron CC BY-SA 3.0