Achieving the Shannon Limit with Probabilistically Shaped BICM
Paper i 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.

Författare

Erik Agrell

Chalmers, Signaler och system, Kommunikations- och antennsystem, Kommunikationssystem

Alex Alvarado

University of Cambridge

IEEE International Symposium on Information Theory - Proceedings

21578095 (ISSN)

2421-2425 6283949

Styrkeområden

Informations- och kommunikationsteknik

Ämneskategorier

Telekommunikation

DOI

10.1109/ISIT.2012.6283949

ISBN

978-1-4673-2580-6

Mer information

Senast uppdaterat

2018-05-02