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arXiv · 2301.11176

A simple model for pink noise from amplitude modulations

Masahiro Morikawa·Akika Nakamichi
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Abstract

We propose a simple model for the origin of pink noise (or 1/f fluctuation) based on the beat of cooperative waves. These cooperative waves arise spontaneously in a system with synchronization, resonance, and infrared divergence. Many cooperative waves with close frequencies can produce signals of arbitrary small frequencies from a system of small size. This beat mechanism can be understood as amplitude modulation. The pink noise can appear after the demodulation process, which produces a variety of pink noise in many fields. The pink noise thus formed from the beat has nothing to do with dissipation or long-time memory. We also suggest new ways of looking at pink noise in shallow earthquakes, solar flares, and stellar activities.

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Masahiro Morikawa, Akika Nakamichi. 2023-01-26. A simple model for pink noise from amplitude modulations. https://arxiv.org/abs/2301.11176

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