Universal generation of 1/f noises

Iddo Eliazar, Joseph Klafter

Research output: Contribution to journalArticlepeer-review


This paper establishes a universal mechanism for the generation of 1/f noises. The mechanism is based on a signal-superposition model, which superimposes signals transmitted from independent sources. All sources transmit a statistically common-yet arbitrary-stochastic signal pattern; each source has its own random transmission parameters-amplitude, frequency, and initiation epoch. We explore randomizations of the transmission parameters which render the power spectrum of the super-imposed signal invariant with respect of the stochastic signal pattern transmitted. Analysis shows that the aforementioned randomizations yield superimposed signals which are 1/f noises. The result obtained is, in effect, a randomized central limit theorem for 1/f noises.

Original languageEnglish
Article number021109
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number2
StatePublished - 10 Aug 2010


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