Lattice codes can achieve capacity on the AWGN channel
- 1 January 1998
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 44 (1) , 273-278
- https://doi.org/10.1109/18.651040
Abstract
It is shown that lattice codes can achieve capacity on the additive white Gaussian noise channel. More precisely, for any rate less than capacity and , there exists a lattice code with rate no less than and average error probability upper-bounded by These lattice codes include all points of the (translated) lattice within the spherical bounding region (not just the ones inside a thin spherical shell).Keywords
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