For more details, see A Principal Component Analysis Noise Filter Value - Added Procedure to Remove
Uncorrelated Noise from Atmospheric Emitted Radiance Interferometer (AERI) Observations.
Integrate each series to create «red» or brownian
uncorrelated noise runs.
Not exact matches
For this the standard deviation of the monthly averaged
uncorrelated or white
noise of flux might need to be around ~ 2.5 W / m ^ 2 a figure 2 - 4 times the values Isaac gave.
And, if you have applied autocorrelation that is broader than usual are you not masking the possibility for decade scale fluctuations to be detectable in the presence of
uncorrelated inter-annual measurement
noise?
By averaging over the runs, the
noise (which is
uncorrelated from one run to another) averages out, and what is left is an estimate of the forced signal and its uncertainty.