Level-crossing time statistics of Gaussian 1/fα noises

R. Mingesz, Z. Gingl, P. Makra

Research output: Conference article

4 Citations (Scopus)


It has been recently shown that the amplitude-truncation of Gaussian 1/f noise does not change the shape of the power spectral density under rather general conditions, including the case when a Heaviside transformation results in a dichotomous noise. This invariance of 1/f noise seems to be an important addition to the knowledge about this kind of noise and may be promising in understanding dichotomous 1/f noise, noise-driven switching and stepping. Probably the most important application is the explanation of ion channel currents in biomembranes. In this work we have extended our investigations, especially concerning the level-crossing properties of 1/f noises. We determined the level-crossing time statistics for 1/fα noises (0<α<2) and found an empirical formula for the level-crossing time distribution. The correlation properties of successive level-crossing intervals are also explored by measurements and numerical simulations and it is shown that the case α=1 is unique in the range from 0 to 2. These time-structure related additions to the knowledge about 1/f noise further emphasize the uniqueness of this kind of noise. These results may help to understand 1/f noises better and are strongly relevant to 1/f noise driven switching, dichotomous noises such as the case of ion channel current fluctuations.

Original languageEnglish
Pages (from-to)312-319
Number of pages8
JournalProceedings of SPIE - The International Society for Optical Engineering
Publication statusPublished - szept. 19 2003
EventFluctuations and Noise in Biological, Biophysical, and Biomedical Systems - Santa Fe, NM, United States
Duration: jún. 2 2003jún. 4 2003

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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