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1/f noise from a weighted sum of simple random walks

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  • Chhimpa, Rahul
  • Yadav, Avinash Chand

Abstract

Various noises, from voltage fluctuations across electronic devices to biological processes such as DNA base sequences, display the signature of 1/f noise. The ubiquity might imply the existence of a general mechanism. However, efforts made over the past several decades have uncovered a few generally accepted mechanisms. Here, we explain the 1/f noise through a weighted sum of stochastic processes, characterized by Lorentzian spectra (bounded simple random walks). Our physical examples include a class of sandpile models of self-organized criticality.

Suggested Citation

  • Chhimpa, Rahul & Yadav, Avinash Chand, 2026. "1/f noise from a weighted sum of simple random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 681(C).
    • Handle: RePEc:eee:phsmap:v:681:y:2026:i:c:s0378437125007824
    DOI: 10.1016/j.physa.2025.131130
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    References listed on IDEAS

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    1. Ricard V. Solé & Susanna C. Manrubia & Michael Benton & Per Bak, 1997. "Self-similarity of extinction statistics in the fossil record," Nature, Nature, vol. 388(6644), pages 764-767, August.
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