Quasi-Static Multiple-Antenna Fading Channels at Finite Blocklength
This paper investigates the maximal achievable rate for a given blocklength and error probability over quasi-static multiple-input multiple-output fading channels, with and without channel state information at the transmitter and/or the receiver. The principal finding is that outage capacity, despit...
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers (IEEE)
2014
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| Online Access: | http://hdl.handle.net/1721.1/90569 https://orcid.org/0000-0002-2109-0979 |
| _version_ | 1826205814612819968 |
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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 | This paper investigates the maximal achievable rate for a given blocklength and error probability over quasi-static multiple-input multiple-output fading channels, with and without channel state information at the transmitter and/or the receiver. The principal finding is that outage capacity, despite being an asymptotic quantity, is a sharp proxy for the finite-blocklength fundamental limits of slow-fading channels. Specifically, the channel dispersion is shown to be zero regardless of whether the fading realizations are available at both transmitter and receiver, at only one of them, or at neither of them. These results follow from analytically tractable converse and achievability bounds. Numerical evaluation of these bounds verifies that zero dispersion may indeed imply fast convergence to the outage capacity as the blocklength increases. In the example of a particular 1 × 2 single-input multiple-output Rician fading channel, the blocklength required to achieve 90% of capacity is about an order of magnitude smaller compared with the blocklength required for an AWGN channel with the same capacity. For this specific scenario, the coding/decoding schemes adopted in the LTE-Advanced standard are benchmarked against the finite-blocklength achievability and converse bounds. |
| first_indexed | 2024-09-23T13:19:31Z |
| format | Article |
| id | mit-1721.1/90569 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:19:31Z |
| publishDate | 2014 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/905692022-09-28T13:23:09Z Quasi-Static Multiple-Antenna Fading Channels at Finite Blocklength Yang, Wei Durisi, Giuseppe Koch, Tobias Polyanskiy, Yury Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Polyanskiy, Yury This paper investigates the maximal achievable rate for a given blocklength and error probability over quasi-static multiple-input multiple-output fading channels, with and without channel state information at the transmitter and/or the receiver. The principal finding is that outage capacity, despite being an asymptotic quantity, is a sharp proxy for the finite-blocklength fundamental limits of slow-fading channels. Specifically, the channel dispersion is shown to be zero regardless of whether the fading realizations are available at both transmitter and receiver, at only one of them, or at neither of them. These results follow from analytically tractable converse and achievability bounds. Numerical evaluation of these bounds verifies that zero dispersion may indeed imply fast convergence to the outage capacity as the blocklength increases. In the example of a particular 1 × 2 single-input multiple-output Rician fading channel, the blocklength required to achieve 90% of capacity is about an order of magnitude smaller compared with the blocklength required for an AWGN channel with the same capacity. For this specific scenario, the coding/decoding schemes adopted in the LTE-Advanced standard are benchmarked against the finite-blocklength achievability and converse bounds. Swedish Research Council (Grant 2012-4571) Ericsson Research Foundation (Grant FOSTIFT-12:022) European Union (Framework Programme, Marie Curie FP7 Integration Grant 333680) Spain (Grant TEC2009-14504-C02-01) Spain (Grant CSD2008- 00010) Spain (Grant TEC2012-38800-C03-01) National Science Foundation (U.S.) (Grant CCF-1253205) 2014-10-07T14:38:57Z 2014-10-07T14:38:57Z 2014-07 2014-06 Article http://purl.org/eprint/type/JournalArticle 0018-9448 1557-9654 http://hdl.handle.net/1721.1/90569 Yang, Wei, Giuseppe Durisi, Tobias Koch, and Yury Polyanskiy. “Quasi-Static Multiple-Antenna Fading Channels at Finite Blocklength.” IEEE Trans. Inform. Theory 60, no. 7 (July 2014): 4232–4265. https://orcid.org/0000-0002-2109-0979 en_US http://dx.doi.org/10.1109/TIT.2014.2318726 IEEE Transactions on Information Theory Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) MIT web domain |
| spellingShingle | Yang, Wei Durisi, Giuseppe Koch, Tobias Polyanskiy, Yury Quasi-Static Multiple-Antenna Fading Channels at Finite Blocklength |
| title | Quasi-Static Multiple-Antenna Fading Channels at Finite Blocklength |
| title_full | Quasi-Static Multiple-Antenna Fading Channels at Finite Blocklength |
| title_fullStr | Quasi-Static Multiple-Antenna Fading Channels at Finite Blocklength |
| title_full_unstemmed | Quasi-Static Multiple-Antenna Fading Channels at Finite Blocklength |
| title_short | Quasi-Static Multiple-Antenna Fading Channels at Finite Blocklength |
| title_sort | quasi static multiple antenna fading channels at finite blocklength |
| url | http://hdl.handle.net/1721.1/90569 https://orcid.org/0000-0002-2109-0979 |
| work_keys_str_mv | AT yangwei quasistaticmultipleantennafadingchannelsatfiniteblocklength AT durisigiuseppe quasistaticmultipleantennafadingchannelsatfiniteblocklength AT kochtobias quasistaticmultipleantennafadingchannelsatfiniteblocklength AT polyanskiyyury quasistaticmultipleantennafadingchannelsatfiniteblocklength |