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Achieving the Shannon Limit with Probabilistically Shaped BICM

Erik Agrell (Institutionen för signaler och system, Kommunikationssystem) ; Alex Alvarado
2012 IEEE International Symposium on Information Theory, ISIT 2012. Cambridge, MA, 1- 6 July 2012 (2157-8095). p. 2421-2425. (2012)
[Konferensbidrag, refereegranskat]

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 mutual information of BICM systems, in addition to what is provided by geometrical shaping.

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Denna post skapades 2012-04-29. Senast ändrad 2016-04-28.
CPL Pubid: 157199


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Institutionen för signaler och system, Kommunikationssystem (1900-2017)


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