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1/f noise: a pedagogical review

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arxiv physics/0204033 v1 pith:7VTJF2GO submitted 2002-04-12 physics.class-ph physics.gen-ph

Edoardo Milotti This is my paper · ORCID
classification physics.class-phphysics.gen-ph
keywords noisealphanoisespedagogicalprocessesreviewbiophysicalcriticality
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This is a pedagogical review of the ubiquitous 1/f^\alpha noises. The sections include the representation of 1/f^\alpha noise as a superposition of many relaxation processes; a discussion of the infinitely large fluctuations in the low frequency limit; 1/f^\alpha noise from diffusion processes; the measured statistical properties of 1/f^\alpha noises; 1/f^\alpha noises in self organized criticality; scaling laws in earthquake physics; 1/f noise in deterministic dynamical systems; an example of noise in a biophysical system; the numerical simulation of 1/f^\alpha noise; 1/f noise literature (including online resources).

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 150 citations worldwide. Full citation record

  1. Two Types of $1/f$ Range in Solar Wind Turbulence

    astro-ph.SR 2025-06 conditional novelty 6.0 of 10

    Solar wind 1/f spectra come in two types: a fast/Alfvénic type that follows WKB expansion and migrates in frequency, and a slow/mixed type that behaves like flicker noise.

  2. Active galactic nucleus time-variability analysis and its caveats

    astro-ph.GA 2024-12 conditional novelty 6.0 of 10

    Flare-biased interpolation biases periodogram fits in AGN variability studies, and the EMP13 simulation algorithm is often misused so that phase information and red-noise-leak correction are lost.

  3. Flicker-DDPM: Accelerating Denoising Diffusion via 1/f Colored Noise Injection

    cs.LG 2026-06 unverdicted novelty 5.0 of 10

    Flicker-DDPM accelerates DDPM sampling by injecting 1/f colored noise matched to image spectra, achieving similar quality with 3.33 times fewer steps on CIFAR-10.

  4. Gaussian fluctuations of non-reciprocal systems

    cond-mat.stat-mech 2024-11 conditional novelty 5.0 of 10

    Exact Gaussian fluctuation calculations for two linearly coupled non-reciprocal fields reveal enhanced k^-4 and k^-6 divergences at critical exceptional points and a mechanism for 1/f noise.

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