On optimal constellations for BICM at low SNR
Paper in proceedings, 2009

In this paper we study the problem of finding capacity-maximizing constellations in BICM for asymptotically low signal-to-noise ratios (SNRs). We base our analysis on the so-called Hadamard transform and on a linear approximation of the BICM capacity for asymptotically low SNRs. We fully characterize the set of constellations, input distributions, and binary labelings that achieve Shannon's limit E_b/N_0=-1.59 dB. For equiprobable input distributions, a constellation achieves this limit if and only if it is a linear projection of a hypercube.

Author

Erik Agrell

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

Alex Alvarado

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

Proceedings IEEE Information Theory Workshop ITW 2009, Taormina, Italy [Best Poster Award]

480-484 5351404

Areas of Advance

Information and Communication Technology

Subject Categories

Telecommunications

DOI

10.1109/ITW.2009.5351404

ISBN

9781424449835

More information

Latest update

3/29/2018