Information-theoretic origin of 1/f spectral noise

Physics

Scientific paper

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Scientific paper

Consider the evolution of a temporal signal X(t) that is an intrinsic random field. In the sense of a certain measurement-estimation experiment, the state of disorder of X(t) should increase toward an equilibrium state. The disorder of X(t) is measured by its `physical information' I, and the equilibrium state is determined by the condition that I be an extremum. The equilibrium state is shown to have a power spectrum S((omega) ) of the form (omega) (superscript -(alpha) ), 1

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