Diversity versus Channel Knowledge at Finite Block-Length
We study the maximal achievable rate R*(n, ∈) for a given block-length n and block error probability o over Rayleigh block-fading channels in the noncoherent setting and in the finite block-length regime. Our results show that for a given block-length and error probability, R*(n, ∈) is not monotonic...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers
2013
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| Online Access: | http://hdl.handle.net/1721.1/79040 https://orcid.org/0000-0002-2109-0979 |
| _version_ | 1811087298786230272 |
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| author | Yang, Wei Durisi, Giuseppe Koch, Tobias Polyanskiy, Yury |
| 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 Yang, Wei Durisi, Giuseppe Koch, Tobias Polyanskiy, Yury |
| author_sort | Yang, Wei |
| collection | MIT |
| description | We study the maximal achievable rate R*(n, ∈) for a given block-length n and block error probability o over Rayleigh block-fading channels in the noncoherent setting and in the finite block-length regime. Our results show that for a given block-length and error probability, R*(n, ∈) is not monotonic in the channel's coherence time, but there exists a rate maximizing coherence time that optimally trades between diversity and cost of estimating the channel. |
| first_indexed | 2024-09-23T13:43:37Z |
| format | Article |
| id | mit-1721.1/79040 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:43:37Z |
| publishDate | 2013 |
| publisher | Institute of Electrical and Electronics Engineers |
| record_format | dspace |
| spelling | mit-1721.1/790402022-10-01T16:43:51Z Diversity versus Channel Knowledge at Finite Block-Length Yang, Wei Durisi, Giuseppe Koch, Tobias Polyanskiy, Yury Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Polyanskiy, Yury We study the maximal achievable rate R*(n, ∈) for a given block-length n and block error probability o over Rayleigh block-fading channels in the noncoherent setting and in the finite block-length regime. Our results show that for a given block-length and error probability, R*(n, ∈) is not monotonic in the channel's coherence time, but there exists a rate maximizing coherence time that optimally trades between diversity and cost of estimating the channel. Seventh Framework Programme (European Commission) ((FP7/2007-2013) under grant agreement No. 252663) 2013-05-30T16:08:36Z 2013-05-30T16:08:36Z 2012-09 Article http://purl.org/eprint/type/ConferencePaper 9781467302241 9781467302227 INSPEC Accession Number: 13227996 http://hdl.handle.net/1721.1/79040 Wei Yang, Giuseppe Durisi, Tobias Koch, and Yury Polyanskiy. "Diversity Versus Channel Knowledge at Finite Block-length." In 2012 IEEE Information Theory Workshop, 3-7 September 2012 : Lausanne, Switzerland , Pp. 572–576. https://orcid.org/0000-0002-2109-0979 en_US http://dx.doi.org/10.1109/ITW.2012.6404740 2012 IEEE Information Theory Workshop (ITW) 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 Polyanskiy via Amy Stout |
| spellingShingle | Yang, Wei Durisi, Giuseppe Koch, Tobias Polyanskiy, Yury Diversity versus Channel Knowledge at Finite Block-Length |
| title | Diversity versus Channel Knowledge at Finite Block-Length |
| title_full | Diversity versus Channel Knowledge at Finite Block-Length |
| title_fullStr | Diversity versus Channel Knowledge at Finite Block-Length |
| title_full_unstemmed | Diversity versus Channel Knowledge at Finite Block-Length |
| title_short | Diversity versus Channel Knowledge at Finite Block-Length |
| title_sort | diversity versus channel knowledge at finite block length |
| url | http://hdl.handle.net/1721.1/79040 https://orcid.org/0000-0002-2109-0979 |
| work_keys_str_mv | AT yangwei diversityversuschannelknowledgeatfiniteblocklength AT durisigiuseppe diversityversuschannelknowledgeatfiniteblocklength AT kochtobias diversityversuschannelknowledgeatfiniteblocklength AT polyanskiyyury diversityversuschannelknowledgeatfiniteblocklength |