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Achieving the Shannon Limit with Probabilistically Shaped BICM
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- Agrell, Erik, 1965 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
-
- Alvarado, Alex, 1982 (author)
- University Of Cambridge
- (creator_code:org_t)
- ISBN 9781467325806
- 2012
- 2012
- English.
- In: IEEE International Symposium on Information Theory - Proceedings. - 2157-8095. - 9781467325806 ; , s. 2421-2425
- Conference paper (peer-reviewed)
Abstract
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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 mutual information of BICM systems, in addition to what is provided by geometrical shaping.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Telekommunikation (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Telecommunications (hsv//eng)
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