Achieving the Shannon limit with probabilistically shaped BICM

E. Agrell, A. Alvarado

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

5 Citations (Scopus)


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.
Original languageEnglish
Title of host publicationIEEE International Symposium on Information Theory (ISIT)
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
ISBN (Electronic)978-1-4673-2578-3
ISBN (Print)978-1-4673-2580-6
Publication statusPublished - Jul 2012
Event2012 IEEE International Symposium on Information Theory, ISIT 2012 - Cambridge, MA, USA
Duration: 1 Jul 20126 Jul 2012


Conference2012 IEEE International Symposium on Information Theory, ISIT 2012
Abbreviated titleISIT 2012


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