30 September 1994 Information-theoretic origin of 1/f spectral noise
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Abstract
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) -(alpha ), 1 <EQ (alpha) <EQ 2, that of 1/f noise.
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B. Roy Frieden, Roy J. Hughes, "Information-theoretic origin of 1/f spectral noise", Proc. SPIE 2266, Optical Spectroscopic Techniques and Instrumentation for Atmospheric and Space Research, (30 September 1994); doi: 10.1117/12.187585; https://doi.org/10.1117/12.187585
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