1/f Pink Noise

Colored noise spectra — S(f) ~ 1/f^α

Parameters


Power Spectral Density:
S(f) ~ 1/f^α

• α=0: white noise (flat)
• α=1: pink/flicker noise
• α=2: Brownian/red noise
• α=3: black noise

Generation: shape white noise in frequency domain, then IFFT.

Pink noise appears ubiquitously: electronics, music, neuroscience, earthquakes, finance.
Measured slope:
Theory slope: