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arXiv · 1610.06346

A general mechanism for the `$1/f$' noise

Avinash Chand Yadav·Ramakrishna Ramaswamy·Deepak Dhar
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Abstract

We consider the response of a memoryless nonlinear device that converts an input signal $ξ(t)$ into an output $η(t)$ that only depends on the value of the input at the same time, $t$. For input Gaussian noise with power spectrum $1/f^α$, the nonlinearity modifies the spectral index of the output to give a spectrum that varies as $1/f^{α'}$ with $α' \neq α$. We show that the value of $α'$ depends on the nonlinear transformation and can be tuned continuously. This provides a general mechanism for the ubiquitous `$1/f$' noise found in nature.

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Avinash Chand Yadav, Ramakrishna Ramaswamy, Deepak Dhar. 2016-10-20. A general mechanism for the `$1/f$' noise. https://doi.org/10.1103/physreve.96.022215

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