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?
To show what a 1/f noise spectrum looks like:
Here is what the FFT looks like. I'm hoping for something that is more numerical based than semi-empirically modeled.