SPECTRAL 1 F NOISE DERIVED FROM EXTREMIZED PHYSICAL INFORMATION/

Citation
Br. Frieden et Rj. Hughes, SPECTRAL 1 F NOISE DERIVED FROM EXTREMIZED PHYSICAL INFORMATION/, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(4), 1994, pp. 2644-2649
Citations number
46
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
49
Issue
4
Year of publication
1994
Part
A
Pages
2644 - 2649
Database
ISI
SICI code
1063-651X(1994)49:4<2644:S1FNDF>2.0.ZU;2-1
Abstract
We consider the evolution of a temporal signal X(t) that is an intrins ic random field of order zero. In the sense of a certain measurement-e stimation experiment, the state of disorder of X(t) should increase to ward an equilibrium state. The disorder of X(t) is measured by its ''p hysical information'' J, and the equilibrium state is determined by th e condition that J be an extremum. The equilibrium state is shown to h ave a power spectrum S(omega) of the form omega(-alpha), 1 less-than-o r-equal-to alpha less-than-or-equal-to 2, that of 1/f noise.