Revisiting the asymmetric binary channel: joint noise-enhanced detection and information transmission through threshold devices

Pierre-Olivier Amblard; Olivier J. J. Michel; Saverio Morfu

doi:10.1117/12.609436

23 May 2005 Revisiting the asymmetric binary channel: joint noise-enhanced detection and information transmission through threshold devices

Pierre-Olivier Amblard, Olivier J. J. Michel, Saverio Morfu

Author Affiliations +

Proceedings Volume 5845, Noise in Complex Systems and Stochastic Dynamics III; (2005) https://doi.org/10.1117/12.609436
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States

Abstract

In this paper we revisit the asymmetric binary channel from the double point of view of detection theory and information theory. We first evaluate the capacity of the asymmetric binary channel as a function of the probabilities of false alarm and of detection, thus allowing a noise distribution independent analysis. This sets the a priori probabilities of the hypotheses and couples the two points of view. We then study the simple realization of the asymmetric binary channel using a threshold device. We particularly revisit noise-enhanced processing for subthreshold signals using the aforementioned parametrization of the capacity, and we report a somewhat paradoxical effect: using the channel at its capacity precludes in general an optimal detection.

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Pierre-Olivier Amblard, Olivier J. J. Michel, and Saverio Morfu "Revisiting the asymmetric binary channel: joint noise-enhanced detection and information transmission through threshold devices", Proc. SPIE 5845, Noise in Complex Systems and Stochastic Dynamics III, (23 May 2005); https://doi.org/10.1117/12.609436

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