On the discreteness of capacity-achieving distributions

Aslan Tchamkerten

doi:10.1109/TIT.2004.836662

On the discreteness of capacity-achieving distributions

Aslan Tchamkerten

ENAC-IIC-GEL

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a scalar additive channel x → x + N whose input is amplitude constrained. By extending Smith's argument, we derive a sufficient condition on noise probability density functions (pdfs) that guarantee finite support for the associated capacity-achieving distribution(s).

Original language	English
Pages (from-to)	2773-2778
Number of pages	6
Journal	IEEE Transactions on Information Theory
Volume	50
Issue number	11
DOIs	https://doi.org/10.1109/TIT.2004.836662
Publication status	Published - 1 Nov 2004
Externally published	Yes

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10.1109/TIT.2004.836662

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title = "On the discreteness of capacity-achieving distributions",

abstract = "We consider a scalar additive channel x → x + N whose input is amplitude constrained. By extending Smith's argument, we derive a sufficient condition on noise probability density functions (pdfs) that guarantee finite support for the associated capacity-achieving distribution(s).",

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doi = "10.1109/TIT.2004.836662",

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JO - IEEE Transactions on Information Theory

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On the discreteness of capacity-achieving distributions

Abstract

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