I am working on kind of signals that can be classified as 1/f Noise.  

In this [article](https://www.dsprelated.com/showarticle/40.php) is explained that the time history of 1/f noise follows a power law proportional to $t^{-\alpha}$. I am very surprised about this, because when I think to this kind of signal histories, they do not seems to me proportional to $t^{-\alpha}$ or a series of $t^{-\alpha}$.
Have someone an explanation for this?

I have also read this [article](https://www.researchgate.net/publication/235741759_Bak_P_Tang_C_Wiesenfeld_K_Self-organized_criticality_An_explanation_of_1f_noise_Phys_Rev_Lett_59_381-384), that highlights the proportionality to $t^{-\alpha}$ and introduces the theory of the "Self-Organized criticality". But I didn't find an explanation to my problem.