Achieving the Shannon Limit with Probabilistically Shaped BICM
Paper in proceeding, 2012

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.

Author

Erik Agrell

Chalmers, Signals and Systems, Communication, Antennas and Optical Networks

Alex Alvarado

University of Cambridge

IEEE International Symposium on Information Theory - Proceedings

21578095 (ISSN)

2421-2425 6283949
978-1-4673-2580-6 (ISBN)

Areas of Advance

Information and Communication Technology

Subject Categories

Telecommunications

DOI

10.1109/ISIT.2012.6283949

ISBN

978-1-4673-2580-6

More information

Latest update

5/2/2018 7