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Class of perfect 1/f noise and the low-frequency cutoff paradox

AuthorsRodríguez, Miguel A.
Issue Date2015
PublisherAmerican Physical Society
CitationPhysical Review B 92(1): 012112 (2015)
AbstractThe 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)PRLTAO0031-900710.1103/PhysRevLett.110.140603]. 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.
Publisher version (URL)https://doi.org/10.1103/PhysRevE.92.012112
Identifiersdoi: 10.1103/PhysRevE.92.012112
e-issn: 1550-2376
issn: 1539-3755
Appears in Collections:(IFCA) Artículos
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