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
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.