I would like to characterize 1/f noise in some time series data. I would like to estimate the 1/f noise corner, and the standard deviation of the 1/f noise component and white noise component. The best thing I could find was this paper: A generalized noise variance analysis model and its application to the characterization of 1/f noise that deals with photon noise arrival rates. That's great, I follow their math and everything. They start of with a random variable that is photon count rates. The problem is I want to do this for an ADC or electronic noise source and I'm not sure what my random variable would be. How do I estimate the 1/f noise corner, and the standard deviation of the 1/f noise component and white noise component with an electronic noise source from time series data?
Here is what the FFT looks like. I'm hoping for something that is more numerical based than semi-empirically modeled.