### Abstract

Stochastic resonator systems with input and/or output 1/f noise have been studied. Disordered magnets/dielectrics serve as examples for the case of output 1/f noise with white noise (thermal excitation) at the input of the resonators. Due to the fluctuation-dissipation theorem, the output noise is related to the out-of-phase component of the periodic peak of the output spectrum. Spin glasses and ferromagnets serve as interesting examples of coupled stochastic resonators. A proper coupling can lead to an extremely large signal-to-noise ratio. As a model system, a l/f-noise-driven Schmitt trigger has been investigated experimentally to study stochastic resonance with input 1/f noise. Under proper conditions, we have found several new nonlinearity effects, such as peaks at even harmonics, holes at even harmonics, and 1/f noise also in the output spectrum.

Original language | English |
---|---|

Pages (from-to) | 451-462 |

Number of pages | 12 |

Journal | Journal of Statistical Physics |

Volume | 70 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Jan 1993 |

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### Keywords

- 1/f noise
- signal-to-noise ratio
- Stochastic resonance

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

*Journal of Statistical Physics*,

*70*(1-2), 451-462. https://doi.org/10.1007/BF01053981

**I/f noise in systems showing stochastic resonance.** / Kiss, László B.; Gingl, Z.; Márton, Zsuzsanna; Kertész, János; Moss, Frank; Schmera, Gabor; Bulsara, Adi.

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 70, no. 1-2, pp. 451-462. https://doi.org/10.1007/BF01053981

}

TY - JOUR

T1 - I/f noise in systems showing stochastic resonance

AU - Kiss, László B.

AU - Gingl, Z.

AU - Márton, Zsuzsanna

AU - Kertész, János

AU - Moss, Frank

AU - Schmera, Gabor

AU - Bulsara, Adi

PY - 1993/1

Y1 - 1993/1

N2 - Stochastic resonator systems with input and/or output 1/f noise have been studied. Disordered magnets/dielectrics serve as examples for the case of output 1/f noise with white noise (thermal excitation) at the input of the resonators. Due to the fluctuation-dissipation theorem, the output noise is related to the out-of-phase component of the periodic peak of the output spectrum. Spin glasses and ferromagnets serve as interesting examples of coupled stochastic resonators. A proper coupling can lead to an extremely large signal-to-noise ratio. As a model system, a l/f-noise-driven Schmitt trigger has been investigated experimentally to study stochastic resonance with input 1/f noise. Under proper conditions, we have found several new nonlinearity effects, such as peaks at even harmonics, holes at even harmonics, and 1/f noise also in the output spectrum.

AB - Stochastic resonator systems with input and/or output 1/f noise have been studied. Disordered magnets/dielectrics serve as examples for the case of output 1/f noise with white noise (thermal excitation) at the input of the resonators. Due to the fluctuation-dissipation theorem, the output noise is related to the out-of-phase component of the periodic peak of the output spectrum. Spin glasses and ferromagnets serve as interesting examples of coupled stochastic resonators. A proper coupling can lead to an extremely large signal-to-noise ratio. As a model system, a l/f-noise-driven Schmitt trigger has been investigated experimentally to study stochastic resonance with input 1/f noise. Under proper conditions, we have found several new nonlinearity effects, such as peaks at even harmonics, holes at even harmonics, and 1/f noise also in the output spectrum.

KW - 1/f noise

KW - signal-to-noise ratio

KW - Stochastic resonance

UR - http://www.scopus.com/inward/record.url?scp=21144476072&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21144476072&partnerID=8YFLogxK

U2 - 10.1007/BF01053981

DO - 10.1007/BF01053981

M3 - Article

VL - 70

SP - 451

EP - 462

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 1-2

ER -