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Class of perfect 1/f noise and the low-frequency cutoff paradox.
- Source :
-
Physical Review E: Statistical, Nonlinear & Soft Matter Physics . Jul2015, Vol. 92 Issue 1-A, p1-5. 5p. - Publication Year :
- 2015
-
Abstract
- The low-frequency cutoff paradox occurring in 1/f processes has been revisited in a recent Letter [M. Niemann, H. Kantz, and E. Barkai, Phys. Rev. Lett. 110, 140603 (2013)]. A model of independent pulses exhibiting an integrable 1/fβ power spectrum with β > 1 explains this paradox. In this paper we explore a complementary possibility based on the use of multiplicative models to generate integrable 1/fβ processes. Three distinct types of models are considered. One of the most used methods of generating 1/f processes based on correlated pulses is among these models. Consequently we find that, contrary to what is generally thought, the low-frequency cutoff is not necessary to avoid the postulated divergence in a wide variety of processes. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PARADOX
*MULTIPLICATION
*MATHEMATICAL models
*DIVERGENCE theorem
*NOISE
Subjects
Details
- Language :
- English
- ISSN :
- 15393755
- Volume :
- 92
- Issue :
- 1-A
- Database :
- Academic Search Index
- Journal :
- Physical Review E: Statistical, Nonlinear & Soft Matter Physics
- Publication Type :
- Academic Journal
- Accession number :
- 109018866
- Full Text :
- https://doi.org/10.1103/PhysRevE.92.012112