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Area of Science:

  • Physics
  • Complex Systems
  • Signal Processing

Background:

  • Pink noise, or 1/f fluctuation, is a ubiquitous signal in nature.
  • Existing models often involve dissipation or long-time memory, which are not universally applicable.

Purpose of the Study:

  • To propose a novel, simple model for the origin of pink noise.
  • To explain pink noise generation through wave accumulation and amplitude modulation.

Main Methods:

  • Modeling spontaneous wave generation in systems with synchronization, resonance, and infrared divergence.
  • Analyzing the beat mechanism as amplitude modulation.
  • Investigating the demodulation process leading to pink noise.

Main Results:

  • A simple model for pink noise generation based on accumulating frequencies is proposed.
  • The beat mechanism effectively creates low frequencies from small systems via amplitude modulation.
  • The generated pink noise is independent of dissipation or long-time memory.

Conclusions:

  • The proposed model offers a new perspective on pink noise origins.
  • This mechanism can explain pink noise in diverse fields, including geophysical and astrophysical phenomena.
  • Further investigation into pink noise in earthquakes, solar flares, and stellar activities is suggested.