preprint
On entropy-constrained Gaussian channel capacity via the moment problem
January 23, 2025
We study the capacity of the power-constrained additive Gaussian channel with an entropy constraint at the input. In particular, we characterize this capacity in the low signal-to-noise ratio regime, as a corollary of the following general result on a moment matching problem: we show that for any continuous random variable with finite moments, the largest number of initial moments that can be matched by a discrete random variable of sufficiently small but positive entropy is three.
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Name
2501.13814v1.pdf
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Main Document
Version
http://purl.org/coar/version/c_970fb48d4fbd8a85
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openaccess
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CC BY
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237.69 KB
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Adobe PDF
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