A Coordinate System for Gaussian Networks
February 11, 2010
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Institute of Electrical and Electronics Engineers (IEEE)
2012
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| Online Access: | http://hdl.handle.net/1721.1/73671 https://orcid.org/0000-0002-6108-0222 |
| _version_ | 1826192569795608576 |
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| author | Zheng, Lizhong Abbe, Emmanuel A. |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Zheng, Lizhong Abbe, Emmanuel A. |
| author_sort | Zheng, Lizhong |
| collection | MIT |
| description | February 11, 2010 |
| first_indexed | 2024-09-23T09:21:56Z |
| format | Article |
| id | mit-1721.1/73671 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:21:56Z |
| publishDate | 2012 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/736712022-09-30T14:18:24Z A Coordinate System for Gaussian Networks Zheng, Lizhong Abbe, Emmanuel A. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Zheng, Lizhong February 11, 2010 This paper investigates network information theory problems where the external noise is Gaussian distributed. In particular, the Gaussian broadcast channel with coherent fading and the Gaussian interference channel are considered. It is shown that in these problems, non-Gaussian code ensembles can achieve higher rates than the Gaussian ones. It is also shown that the strong Shamai-Laroia conjecture on the Gaussian ISI channel does not hold. In order to analyze non-Gaussian code ensembles over Gaussian networks, a geometrical tool using the Hermite polynomials is proposed. This tool provides a coordinate system to analyze a class of non-Gaussian input distributions that are invariant over Gaussian networks. 2012-10-09T14:28:02Z 2012-10-09T14:28:02Z 2012-02 2011-04 Article http://purl.org/eprint/type/JournalArticle 0018-9448 1557-9654 http://hdl.handle.net/1721.1/73671 Abbe, Emmanuel, and Lizhong Zheng. “A Coordinate System for Gaussian Networks.” IEEE Transactions on Information Theory 58.2 (2012): 721–733. https://orcid.org/0000-0002-6108-0222 en_US http://dx.doi.org/10.1109/tit.2011.2169536 IEEE Transactions on Information Theory Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) arXiv |
| spellingShingle | Zheng, Lizhong Abbe, Emmanuel A. A Coordinate System for Gaussian Networks |
| title | A Coordinate System for Gaussian Networks |
| title_full | A Coordinate System for Gaussian Networks |
| title_fullStr | A Coordinate System for Gaussian Networks |
| title_full_unstemmed | A Coordinate System for Gaussian Networks |
| title_short | A Coordinate System for Gaussian Networks |
| title_sort | coordinate system for gaussian networks |
| url | http://hdl.handle.net/1721.1/73671 https://orcid.org/0000-0002-6108-0222 |
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