Quasi-static SIMO fading channels at finite blocklength
We investigate the maximal achievable rate for a given blocklength and error probability over quasi-static single-input multiple-output (SIMO) fading channels. Under mild conditions on the channel gains, it is shown that the channel dispersion is zero regardless of whether the fading realizations ar...
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| 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/1721.1/90563 https://orcid.org/0000-0002-2109-0979 |
| _version_ | 1826197235613827072 |
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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 investigate the maximal achievable rate for a given blocklength and error probability over quasi-static single-input multiple-output (SIMO) fading channels. Under mild conditions on the channel gains, it is shown that the channel dispersion is zero regardless of whether the fading realizations are available at the transmitter and/or the receiver. The result follows from computationally and analytically tractable converse and achievability bounds. Through numerical evaluation, we verify that, in some scenarios, zero dispersion indeed entails fast convergence to outage capacity as the blocklength increases. In the example of a particular 1×2 SIMO Rician channel, the blocklength required to achieve 90% of capacity is about an order of magnitude smaller compared to the blocklength required for an AWGN channel with the same capacity. |
| first_indexed | 2024-09-23T10:44:34Z |
| format | Article |
| id | mit-1721.1/90563 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T10:44:34Z |
| publishDate | 2014 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/905632022-09-30T22:40:57Z Quasi-static SIMO 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 We investigate the maximal achievable rate for a given blocklength and error probability over quasi-static single-input multiple-output (SIMO) fading channels. Under mild conditions on the channel gains, it is shown that the channel dispersion is zero regardless of whether the fading realizations are available at the transmitter and/or the receiver. The result follows from computationally and analytically tractable converse and achievability bounds. Through numerical evaluation, we verify that, in some scenarios, zero dispersion indeed entails fast convergence to outage capacity as the blocklength increases. In the example of a particular 1×2 SIMO Rician channel, the blocklength required to achieve 90% of capacity is about an order of magnitude smaller compared to the blocklength required for an AWGN channel with the same capacity. National Science Foundation (U.S.) (Grant CCF-1253205) 2014-10-06T18:44:43Z 2014-10-06T18:44:43Z 2013-07 Article http://purl.org/eprint/type/ConferencePaper 978-1-4799-0446-4 2157-8095 http://hdl.handle.net/1721.1/90563 Yang, Wei, Giuseppe Durisi, Tobias Koch, and Yury Polyanskiy. “Quasi-Static SIMO Fading Channels at Finite Blocklength.” 2013 IEEE International Symposium on Information Theory (July 2013). https://orcid.org/0000-0002-2109-0979 en_US http://dx.doi.org/10.1109/ISIT.2013.6620483 Proceedings of the 2013 IEEE International Symposium 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 SIMO fading channels at finite blocklength |
| title | Quasi-static SIMO fading channels at finite blocklength |
| title_full | Quasi-static SIMO fading channels at finite blocklength |
| title_fullStr | Quasi-static SIMO fading channels at finite blocklength |
| title_full_unstemmed | Quasi-static SIMO fading channels at finite blocklength |
| title_short | Quasi-static SIMO fading channels at finite blocklength |
| title_sort | quasi static simo fading channels at finite blocklength |
| url | http://hdl.handle.net/1721.1/90563 https://orcid.org/0000-0002-2109-0979 |
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