2012Unpublished venueRequires access

Algebraic information theory and stochastic resonance for binary-input binary-output channels

Ira S. Moskowitz, Paul Cotae, Pedro N. Safier

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Abstract

In this paper, we analyze the information theoretic aspects of the phenomenon of stochastic resonance in terms of the algebraic properties of the channel matrix. The binary-input binary-output channel model under discussion is a threshold system. We offer an algebraic view of Kosko's Forbidden Interval Theorem, and extend his result in certain cases.

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In this paper, we analyze the information theoretic aspects of the phenomenon of stochastic resonance in terms of the algebraic properties of the channel matrix. The binary-input binary-output channel model under discussion is a threshold system. We offer an algebraic view of Kosko's Forbidden Interval Theorem, and extend his result in certain cases.

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Available abstract

In this paper, we analyze the information theoretic aspects of the phenomenon of stochastic resonance in terms of the algebraic properties of the channel matrix. The binary-input binary-output channel model under discussion is a threshold system. We offer an algebraic view of Kosko's Forbidden Interval Theorem, and extend his result in certain cases.

Key concepts: Binary number, Algebraic number, Interval (graph theory), Stochastic resonance, Channel (broadcasting), Resonance (particle physics), Binary symmetric channel, Matrix (chemical analysis)

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