1/f NOISE, INTERMITTENCY AND CLUSTERING POISON PROCESS
| العنوان: | 1/f NOISE, INTERMITTENCY AND CLUSTERING POISON PROCESS |
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| المؤلفون: | Ferdinand Grüneis |
| المصدر: | Fluctuation and Noise Letters. :R119-R130 |
| بيانات النشر: | World Scientific Pub Co Pte Lt, 2001. |
| سنة النشر: | 2001 |
| مصطلحات موضوعية: | Spectral shape analysis, Stochastic process, General Mathematics, General Physics and Astronomy, Noise (electronics), law.invention, Combinatorics, law, Intermittency, Cluster (physics), Exponent, Statistical physics, Base (exponentiation), Brownian motion, Mathematics |
| الوصف: | This paper presents an extended mathematical base for the interpretation of cluster processes in introducing an intermittent stochastic process; this is characterized by clusters of events being separated by distinct breaks so-called intermissions. The spectral features of such an intermittent process are investigated for the case that either intermission δ or duration of cluster τc is power-law distributed like tz. Correspondingly, a spectral shape like 1/fb(z) is found; a pure 1/f shape (b=1) is obtained for z = -2. The most striking result is the dependence of exponent b(z) on quotient δ/τc: we obtain b≤2 for δ > τc and b≤ 1 for δ < τc. This behavior is explained by mutual time relations between clusters which cannot be neglected in case intermissions are small in comparison to duration of clusters (δ < τc). The conditions under which superimposed intermittent processes converge to the clustering Poisson process exhibiting 1/f noise are investigated. Possible applications are discussed for 1/f noise in neuronal spike trains, ionic channels, on-off intermittency and semiconductors. |
| تدمد: | 1793-6780 0219-4775 |
| DOI: | 10.1142/s0219477501000238 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::66b7ddab41037613c06c2f1fa96a9161 https://doi.org/10.1142/s0219477501000238 |
| رقم الانضمام: | edsair.doi...........66b7ddab41037613c06c2f1fa96a9161 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 17936780 02194775 |
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| DOI: | 10.1142/s0219477501000238 |