Power-constrained communications using LDLC lattices
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....
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| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers
2010
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| Online Access: | http://hdl.handle.net/1721.1/59482 |
| _version_ | 1826208831041961984 |
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| author | Dauwels, Justin H. G. Kurkoski, Brian M. Loeliger, Hans-Andrea |
| author2 | Massachusetts Institute of Technology. Laboratory for Information and Decision Systems |
| author_facet | Massachusetts Institute of Technology. Laboratory for Information and Decision Systems Dauwels, Justin H. G. Kurkoski, Brian M. Loeliger, Hans-Andrea |
| author_sort | Dauwels, Justin H. G. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T14:13:18Z |
| format | Article |
| id | mit-1721.1/59482 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:13:18Z |
| publishDate | 2010 |
| publisher | Institute of Electrical and Electronics Engineers |
| record_format | dspace |
| spelling | mit-1721.1/594822022-10-01T19:50:37Z Power-constrained communications using LDLC lattices Dauwels, Justin H. G. Kurkoski, Brian M. Loeliger, Hans-Andrea Massachusetts Institute of Technology. Laboratory for Information and Decision Systems Dauwels, Justin H. G. Dauwels, Justin H. G. 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. King Baudouin Foundation United States Belgian American Educational Foundation, inc. Japan. Ministry of Education, Culture, Sports, Science and Technology (Grant-in-Aid for Scientific Research (C) number 19560371) 2010-10-22T18:55:16Z 2010-10-22T18:55:16Z 2009-08 2009-06 Article http://purl.org/eprint/type/JournalArticle 978-1-4244-4312-3 INSPEC Accession Number: 10841986 http://hdl.handle.net/1721.1/59482 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. en_US http://dx.doi.org/10.1109/ISIT.2009.5205635 IEEE International Symposium on Information Theory, 2009. ISIT 2009. 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. application/pdf Institute of Electrical and Electronics Engineers IEEE |
| spellingShingle | Dauwels, Justin H. G. Kurkoski, Brian M. Loeliger, Hans-Andrea Power-constrained communications using LDLC lattices |
| title | Power-constrained communications using LDLC lattices |
| title_full | Power-constrained communications using LDLC lattices |
| title_fullStr | Power-constrained communications using LDLC lattices |
| title_full_unstemmed | Power-constrained communications using LDLC lattices |
| title_short | Power-constrained communications using LDLC lattices |
| title_sort | power constrained communications using ldlc lattices |
| url | http://hdl.handle.net/1721.1/59482 |
| work_keys_str_mv | AT dauwelsjustinhg powerconstrainedcommunicationsusingldlclattices AT kurkoskibrianm powerconstrainedcommunicationsusingldlclattices AT loeligerhansandrea powerconstrainedcommunicationsusingldlclattices |