I have a process which is most probably red-noise and my goal is to know if the peaks or pits are "real" or just due to random fluctuations.

I would like to know if there is exists a test of statistical significance for the peaks of a power-spectral density, obtained by welch's method for example. Or even better : a way to have error bars.

I have search the litterature for the past 4 hours and found very few ressources, that even contradict themselves sometimes...

Any help will be really appreciated :)


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