Achieving the Shannon limit with probabilistically shaped BICM

E. Agrell; A. Alvarado

doi:10.1109/ISIT.2012.6283949

Achieving the Shannon limit with probabilistically shaped BICM

E. Agrell
, A. Alvarado

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

5 Citaten (Scopus)

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Probabilistic shaping for bit-interleaved coded modulation (BICM) systems at low signal-to-noise ratio (SNR) is investigated. Using known results for BICM systems with a uniform input distribution, the combinations of input alphabet, input distribution, and binary labeling that achieve the Shannon limit -1.59 dB are fully characterized. It is found that a BICM system achieves the Shannon limit at low SNR if and only if it can be represented as a zero-mean linear projection of a hypercube, which is the same condition as for uniform input distributions. Hence, probabilistic shaping offers no extra degrees of freedom to optimize the low-SNR regime of BICM systems, in addition to what is provided by geometrical shaping.

Originele taal-2	Engels
Titel	IEEE International Symposium on Information Theory (ISIT)
Plaats van productie	Piscataway
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	2421-2425
ISBN van elektronische versie	978-1-4673-2578-3
ISBN van geprinte versie	978-1-4673-2580-6
DOI's	https://doi.org/10.1109/ISIT.2012.6283949
Status	Gepubliceerd - jul. 2012
Evenement	2012 IEEE International Symposium on Information Theory, ISIT 2012 - Cambridge, MA, USA Duur: 1 jul. 2012 → 6 jul. 2012

Congres

Congres	2012 IEEE International Symposium on Information Theory, ISIT 2012
Verkorte titel	ISIT 2012
Periode	1/07/12 → 6/07/12

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10.1109/ISIT.2012.6283949

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title = "Achieving the Shannon limit with probabilistically shaped BICM",

abstract = "Probabilistic shaping for bit-interleaved coded modulation (BICM) systems at low signal-to-noise ratio (SNR) is investigated. Using known results for BICM systems with a uniform input distribution, the combinations of input alphabet, input distribution, and binary labeling that achieve the Shannon limit -1.59 dB are fully characterized. It is found that a BICM system achieves the Shannon limit at low SNR if and only if it can be represented as a zero-mean linear projection of a hypercube, which is the same condition as for uniform input distributions. Hence, probabilistic shaping offers no extra degrees of freedom to optimize the low-SNR regime of BICM systems, in addition to what is provided by geometrical shaping.",

author = "E. Agrell and A. Alvarado",

year = "2012",

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doi = "10.1109/ISIT.2012.6283949",

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booktitle = "IEEE International Symposium on Information Theory (ISIT)",

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AU - Alvarado, A.

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AB - Probabilistic shaping for bit-interleaved coded modulation (BICM) systems at low signal-to-noise ratio (SNR) is investigated. Using known results for BICM systems with a uniform input distribution, the combinations of input alphabet, input distribution, and binary labeling that achieve the Shannon limit -1.59 dB are fully characterized. It is found that a BICM system achieves the Shannon limit at low SNR if and only if it can be represented as a zero-mean linear projection of a hypercube, which is the same condition as for uniform input distributions. Hence, probabilistic shaping offers no extra degrees of freedom to optimize the low-SNR regime of BICM systems, in addition to what is provided by geometrical shaping.

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DO - 10.1109/ISIT.2012.6283949

M3 - Conference contribution

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ER -

Achieving the Shannon limit with probabilistically shaped BICM

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