An Interesting Fourier Transform – 1/f Noise
Summary
Steve Smith explains how power-law signals transform under Fourier transform, focusing on 1/f noise. The post covers the t^α ↔ ω^{-(α+1)} relationship, the impact of the unit step, phase considerations, and the Gamma scaling, highlighting 1/f noise as a widespread phenomenon and discussing the idea that 1/f noise can be its own Fourier transform under certain phase conditions.