Power-constrained communications using LDLC lattices
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Kurkoski-2009-Power-constrained communications using LDLC lattices.pdf
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Author(s) • •
Dauwels, Justin H. G.
Kurkoski, Brian M.
Loeliger, Hans-Andrea
Date Issued
August 2009
Journal
IEEE International Symposium on Information Theory, 2009. ISIT 2009.
Publisher
Institute of Electrical and Electronics Engineers
Citation
Dauwels, J., H.-A. Loeliger, and B.M. Kurkoski. “Power-constrained communications using LDLC lattices.” Information Theory, 2009. ISIT 2009. IEEE International Symposium on. 2009. 739-743. ©2009 Institute of Electrical and Electronics Engineers.
Version
Final published version
Abstract
An explicit code construction for using low-density lattice codes (LDLC) on the constrained power AWGN channel is given. LDLC lattices can be decoded in high dimension, so that the code relies on the Euclidean distance between codepoints. A sublattice of the coding lattice is used for code shaping. Lattice codes are designed using the continuous approximation, which allows separating the contribution of the shaping region and coding lattice to the total transmit power. Shaping and lattice decoding are both performed using a belief-propagation decoding algorithm. At a rate of 3 bits per dimension, a dimension 100 code which is 3.6 dB from the sphere bound is found.
MIT Department
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1109/ISIT.2009.5205635