Gallager's exponent for MIMO channels: A reliability-rate tradeoff
In this paper, we derive Gallager's random coding error exponent for multiple-input multiple-output (MIMO) Rayleigh block-fading channels, assuming no channel-state information (CSI) at the transmitter and perfect CSI at the receiver. This measure gives insight into a fundamental tradeoff betwe...
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers
2011
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| Online Access: | http://hdl.handle.net/1721.1/66695 https://orcid.org/0000-0002-8573-0488 |
| _version_ | 1826216828271067136 |
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| author | Shin, Hyundong Win, Moe Z. |
| author2 | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics |
| author_facet | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Shin, Hyundong Win, Moe Z. |
| author_sort | Shin, Hyundong |
| collection | MIT |
| description | In this paper, we derive Gallager's random coding error exponent for multiple-input multiple-output (MIMO) Rayleigh block-fading channels, assuming no channel-state information (CSI) at the transmitter and perfect CSI at the receiver. This measure gives insight into a fundamental tradeoff between the communication reliability and information rate of MIMO channels, enabling to determine the required codeword length to achieve a prescribed error probability at a given rate below the channel capacity. We quantify the effects of the number of antennas, channel coherence time, and spatial fading correlation on the MIMO exponent. In addition, the general formulae for the ergodic capacity and the cutoff rate in the presence of spatial correlation are deduced from the exponent expressions. These formulae are applicable to arbitrary structures of transmit and receive correlation, encompassing all the previously known results as special cases of our expressions. |
| first_indexed | 2024-09-23T16:53:45Z |
| format | Article |
| id | mit-1721.1/66695 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:53:45Z |
| publishDate | 2011 |
| publisher | Institute of Electrical and Electronics Engineers |
| record_format | dspace |
| spelling | mit-1721.1/666952022-09-29T22:13:53Z Gallager's exponent for MIMO channels: A reliability-rate tradeoff Shin, Hyundong Win, Moe Z. Massachusetts Institute of Technology. Department of Aeronautics and Astronautics Massachusetts Institute of Technology. Laboratory for Information and Decision Systems Win, Moe Z. Win, Moe Z. Shin, Hyundong In this paper, we derive Gallager's random coding error exponent for multiple-input multiple-output (MIMO) Rayleigh block-fading channels, assuming no channel-state information (CSI) at the transmitter and perfect CSI at the receiver. This measure gives insight into a fundamental tradeoff between the communication reliability and information rate of MIMO channels, enabling to determine the required codeword length to achieve a prescribed error probability at a given rate below the channel capacity. We quantify the effects of the number of antennas, channel coherence time, and spatial fading correlation on the MIMO exponent. In addition, the general formulae for the ergodic capacity and the cutoff rate in the presence of spatial correlation are deduced from the exponent expressions. These formulae are applicable to arbitrary structures of transmit and receive correlation, encompassing all the previously known results as special cases of our expressions. National Research Foundation of Korea (Korean Government (KRF-2004-214-D00337)) MIT/Army Institute for Soldier Nanotechnologies United States. Office of Naval Research (Presidential Early Career Award for Scientists and engineers (PECASE) N00014-09-1-0435) National Science Foundation (U.S.) (Grant ECS-0636519) 2011-10-31T21:02:53Z 2011-10-31T21:02:53Z 2009-04 Article http://purl.org/eprint/type/JournalArticle 0090-6778 INSPEC Accession Number: 10572830 http://hdl.handle.net/1721.1/66695 Hyundong Shin, and M.Z. Win. “Gallager’s exponent for MIMO channels: a reliability-rate tradeoff.” IEEE Transactions on Communications 57 (2009): 972-985. © 2009 IEEE. https://orcid.org/0000-0002-8573-0488 en_US http://dx.doi.org/10.1109/TCOMM.2008.04.050673 Proceedings of the IEEE Transactions on Communications 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 | Shin, Hyundong Win, Moe Z. Gallager's exponent for MIMO channels: A reliability-rate tradeoff |
| title | Gallager's exponent for MIMO channels: A reliability-rate tradeoff |
| title_full | Gallager's exponent for MIMO channels: A reliability-rate tradeoff |
| title_fullStr | Gallager's exponent for MIMO channels: A reliability-rate tradeoff |
| title_full_unstemmed | Gallager's exponent for MIMO channels: A reliability-rate tradeoff |
| title_short | Gallager's exponent for MIMO channels: A reliability-rate tradeoff |
| title_sort | gallager s exponent for mimo channels a reliability rate tradeoff |
| url | http://hdl.handle.net/1721.1/66695 https://orcid.org/0000-0002-8573-0488 |
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