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1/f noise from the coincidences of similar single-sided random telegraph signals

2006/07/05 by Giovanni Zanella, G. Zanella, Zanella, Giovanni
Computer Science · Physics and Astronomy · #Blind Source Separation Techniques #Data Analysis #FOS: Physical sciences #Image and Signal Denoising Methods #Neural Networks and Applications #Statistics and Probability (physics.data-an) #physics.data-an

paper · pdf · doi:10.48550/arxiv.physics/0607044

15 pages, 4 figures

arxiv created 2006/07/05 · openalex publication_date 2006/07/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper it is demonstrated that 1/f power spectrum appears in the process originated by the superposition of many single-sided random telegraph signals (RTS or RTN) with the same amplitude, probability and relaxation time. Indeed, the coincidences of these RTSs generate self-organizing fluctuations which are responsible for the generation of 1/f noise under various aspects. The accord of the exposed model with other models and with various experimental results is displayed.

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