Low-Signal-Energy Asymptotics of Capacity and Mutual Information for the Discrete-Time Poisson Channel

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dc.creatorMartinez, Alfonso
dc.date2008-08-20
dc.date.accessioned2026-07-07T09:57:29Z
dc.date.available2026-07-07T09:57:29Z
dc.descriptionThe first terms of the low-signal-energy asymptotics for the mutual information in the discrete-time Poisson channel are derived and compared to an asymptotic expression of the capacity. In the presence of non-zero additive noise (either Poisson or geometric), the mutual information is concave at zero signal-energy and the minimum energy per bit is not attained at zero capacity. Fixed signal constellations which scale with the signal energy do not attain the minimum energy per bit. The minimum energy per bit is zero when additive Poisson noise is present and $\ew\log 2$ when additive geometric noise of mean $\ew$ is present.
dc.descriptionSubmitted to IEEE Trans. Inf. Theory
dc.identifierhttps://arxiv.org/abs/0808.2703
dc.identifierhttp://arxiv.org/abs/0808.2703
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167361
dc.subjectInformation Theory
dc.titleLow-Signal-Energy Asymptotics of Capacity and Mutual Information for the Discrete-Time Poisson Channel
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