Blue Noise

noise · 36 views
noise

What It Is

High-pass filtered noise (PSD ~ f) --- anti-correlated increments that suppress low frequencies, common in error-diffusion dithering and spatial statistics

Interpretation

Standard analysis sees: anti-correlated (alternating); anti-persistent; blue spectrum (high-frequency power); high-dimensional / space-filling. The atlas finds no named structure, but the source is distinctively extreme on Boltzmann:frustration (+2.6z) — beyond what the standard bank predicts for it.

What standard analysis sees
tail heaviness0.57
asymmetry0.33
occupancy0.54
short-range corr0.09
long-range memory0.07
spectral colour0.97
periodicity0.20
complexity0.80
time-irreversibility0.66
volatility clustering0.41
multifractality0.23
dimensionality0.88
nonstationarity0.30
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Boltzmann:frustration+2.5zbank-miss 1.0σ

Composition

dtypefloat64
range[-1.913, 1.828]
unique values16384 / 16384
mean ± std5.8e-08 ± 0.498

Render Gallery

Atlas Position

Nearest neighborDistance
Gaussian Noise2.64
GUE Spacings3.01cross-domain
GOE Spacings3.10cross-domain

Open in Atlas →

Which Geometries Light Up

BoltzmannBoltzmann:frustrationrank 5/2980.9857
in medical
alphabetical
← / → within domain · ⇧← / ⇧→ alphabetical · ⇧← / ⇧→ inside an open render = same view across sources