Blue Noise

stochastic-process · 37 views
stochastic-processstochastic

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 (+2.5z) — beyond what the standard bank predicts for it.

What standard analysis sees
tail heaviness0.59
asymmetry0.28
occupancy0.56
short-range corr0.08
long-range memory0.08
spectral colour0.96
periodicity0.23
complexity0.80
time-irreversibility0.41
volatility clustering0.43
multifractality0.22
dimensionality0.87
nonstationarity0.35
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 Noise2.57
GUE Spacings2.81cross-origin
GOE Spacings2.89cross-origin

Open in Atlas →

Which Geometries Light Up

This source does not rank extreme on any metric.

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