#signalprocessing

dsprelated.com

An Interesting Fourier Transform - 1/f Noise - Steve Smith

Power-law signals have a neat Fourier trick: their transforms are power laws too, but with important caveats. Steve Smith walks through the t^α ↔ ω^{-(α+1)} relation, shows how the unit step, the Gamma scaling and a nontrivial phase change the picture, and highlights the special α = -0.5 case that links to 1/f noise. The post frames why phase and physical interpretation keep 1/f noise mysterious.

staszewski.xyz

Recursive Filters: SMA, EMA, Low‑Pass, and a Tiny Kalman • 🍄🍄🍄

Notes on the Fourier Transform - Eli Bendersky's website