Derivation of 1/f noise from resonances

Sungyun Kim; Gonzalo E. Ordonez

doi:10.1117/12.500115

7 May 2003 Derivation of 1/f noise from resonances

Sungyun Kim; Gonzalo E. Ordonez

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Proceedings Volume 5114, Noise in Complex Systems and Stochastic Dynamics; (2003) https://doi.org/10.1117/12.500115
Event: SPIE's First International Symposium on Fluctuations and Noise, 2003, Santa Fe, New Mexico, United States

Abstract

We study non-interacting particles in a small subsystem which is weakly coupled to a reservoir. We show that this class of systems can be mapped into an extended form of the Friedrichs model. We derive from the Hamiltonian dynamics that the number fluctuation in a subsystem is 1/f or 1/f^βnoise. We show that this effect comes from the sum of resonances.

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Sungyun Kim, Sungyun Kim, Gonzalo E. Ordonez, Gonzalo E. Ordonez, } "Derivation of 1/f noise from resonances", Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); doi: 10.1117/12.500115; https://doi.org/10.1117/12.500115

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