Of course, you can use the same technique on any function, or multiple functions, not
just sine waves... Mike S.
Not exact matches
By scrutinizing its shape
just before the final cataclysm, the scientists found that it closely approximated a simple
sine wave with a steadily increasing frequency and amplitude.
Just for grins I produced this «Golden Ratio»
Sine wave.
I would be interested to see whether Rossander can as easily achieve 99.997 % with small adjustments to his overfitted model, whose ten independent shape parameters (I needed only 3) make it simply a bunch of
sine waves that could
just as well have been obtained using a Fourier transform.
And since F3 takes out the 8 - th and higher
sine waves, that
just leaves 7
sine waves in the Fourier analysis.
Were that the case, that is, if this were
just a random fit of
sine waves, I most certainly would not have bothered submitting to AGU, it would be completely vacuous.
If natural variability is a sort of
sine wave effect, and
just moves the energy around, why did La Nina have a greater cooling effect in the recent period after 1990 than El Nino had a warming effect previous to that?
Using
just 4
sine waves in a periodic but stationary function will give a pretty good fit to the modern day temperature decomposition you showed without invoking any AGW at all.