Orthogonal designs optimize achievable dispersion for coherent MISO channels
This work addresses the question of finite block-length fundamental limits of coherently demodulated multi-antenna channels, subject to frequency non-selective isotropic fading. Specifically we present achievability bound for the channel dispersion - a quantity known to determine the delay required...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Institute of Electrical and Electronics Engineers (IEEE)
2016
|
| Online Access: | http://hdl.handle.net/1721.1/100993 https://orcid.org/0000-0002-4962-0935 https://orcid.org/0000-0002-2109-0979 |
| _version_ | 1826217723337637888 |
|---|---|
| author | Polyanskiy, Yury Collins, Austin Daniel |
| 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 Polyanskiy, Yury Collins, Austin Daniel |
| author_sort | Polyanskiy, Yury |
| collection | MIT |
| description | This work addresses the question of finite block-length fundamental limits of coherently demodulated multi-antenna channels, subject to frequency non-selective isotropic fading. Specifically we present achievability bound for the channel dispersion - a quantity known to determine the delay required to achieve capacity. It is shown that a commonly used isotropic Gaussian input, which is only one of many possible capacity achieving distributions, is suboptimal. Optimal inputs minimizing channel dispersion turn out to include a family of modulation techniques known as orthogonal designs (in particular, Alamouti's scheme). For 8 transmit antennas numerical evaluation shows that up to 40% of additional penalty in delay is incurred by using isotropic codewords (compared to dispersion-optimal architecture exploiting transmit diversity). |
| first_indexed | 2024-09-23T17:08:09Z |
| format | Article |
| id | mit-1721.1/100993 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T17:08:09Z |
| publishDate | 2016 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/1009932022-09-29T23:55:32Z Orthogonal designs optimize achievable dispersion for coherent MISO channels Polyanskiy, Yury Collins, Austin Daniel Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Collins, Austin Daniel Polyanskiy, Yury This work addresses the question of finite block-length fundamental limits of coherently demodulated multi-antenna channels, subject to frequency non-selective isotropic fading. Specifically we present achievability bound for the channel dispersion - a quantity known to determine the delay required to achieve capacity. It is shown that a commonly used isotropic Gaussian input, which is only one of many possible capacity achieving distributions, is suboptimal. Optimal inputs minimizing channel dispersion turn out to include a family of modulation techniques known as orthogonal designs (in particular, Alamouti's scheme). For 8 transmit antennas numerical evaluation shows that up to 40% of additional penalty in delay is incurred by using isotropic codewords (compared to dispersion-optimal architecture exploiting transmit diversity). National Science Foundation (U.S.) (CAREER Award Grant Agreement CCF-12-53205) National Science Foundation (U.S.). Center for Science of Information (Grant Agreement CCF-09-39370) 2016-01-26T01:52:44Z 2016-01-26T01:52:44Z 2014-06 Article http://purl.org/eprint/type/ConferencePaper 978-1-4799-5186-4 http://hdl.handle.net/1721.1/100993 Collins, Austin, and Yury Polyanskiy. “Orthogonal Designs Optimize Achievable Dispersion for Coherent MISO Channels.” 2014 IEEE International Symposium on Information Theory (June 2014). https://orcid.org/0000-0002-4962-0935 https://orcid.org/0000-0002-2109-0979 en_US http://dx.doi.org/10.1109/ISIT.2014.6875289 Proceedings of the 2014 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 | Polyanskiy, Yury Collins, Austin Daniel Orthogonal designs optimize achievable dispersion for coherent MISO channels |
| title | Orthogonal designs optimize achievable dispersion for coherent MISO channels |
| title_full | Orthogonal designs optimize achievable dispersion for coherent MISO channels |
| title_fullStr | Orthogonal designs optimize achievable dispersion for coherent MISO channels |
| title_full_unstemmed | Orthogonal designs optimize achievable dispersion for coherent MISO channels |
| title_short | Orthogonal designs optimize achievable dispersion for coherent MISO channels |
| title_sort | orthogonal designs optimize achievable dispersion for coherent miso channels |
| url | http://hdl.handle.net/1721.1/100993 https://orcid.org/0000-0002-4962-0935 https://orcid.org/0000-0002-2109-0979 |
| work_keys_str_mv | AT polyanskiyyury orthogonaldesignsoptimizeachievabledispersionforcoherentmisochannels AT collinsaustindaniel orthogonaldesignsoptimizeachievabledispersionforcoherentmisochannels |