@inproceedings{ff5cc94a16204988b5c7b6ee4154a9cb,
title = "A simple proof for the existence of 'good' pairs of nested lattices",
abstract = "This paper gives a simplified proof for the existence of nested lattice codebooks that allow to achieve the capacity of the additive white Gaussian noise channel. The proof is self-contained and relies only on basic probabilistic and geometrical arguments. An ensemble of nested lattices which is different than the one used in previous proofs is introduced. This ensemble, in addition to giving rise to a simple proof, can be easily generalized to an ensemble of nested lattices chains. As a result, the proof technique given here easily extends to showing the existence of 'good' chains of nested lattices.",
author = "Or Ordentlich and Uri Erez",
year = "2012",
doi = "10.1109/EEEI.2012.6376989",
language = "الإنجليزيّة",
isbn = "9781467346801",
series = "2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012",
booktitle = "2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012",
note = "2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012 ; Conference date: 14-11-2012 Through 17-11-2012",
}