Universal generation of 1/f noises.
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.
Eliazar
Iddo
I
Department of Technology Management, Holon Institute of Technology, Israel. eliazar@post.tau.ac.il
Klafter
Joseph
J