Log-concavity property of the error probability with application to local bounds for wireless communications
clear understanding of the behavior of error probability (EP) as a function of signal-to-noise ratio (SNR) and other system parameters is fundamental for assessing the design of digital wireless communication systems. We propose an analytical framework based on the log-concavity property of the EP w...
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| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers
2010
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| Online Access: | http://hdl.handle.net/1721.1/52395 https://orcid.org/0000-0001-6139-7126 |
| _version_ | 1826202362052608000 |
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| author | Tralli, V. Sidenko, S. Panchenko, Dmitry A. Conti, Andrea |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Tralli, V. Sidenko, S. Panchenko, Dmitry A. Conti, Andrea |
| author_sort | Tralli, V. |
| collection | MIT |
| description | clear understanding of the behavior of error probability (EP) as a function of signal-to-noise ratio (SNR) and other system parameters is fundamental for assessing the design of digital wireless communication systems. We propose an analytical framework based on the log-concavity property of the EP which we prove for a wide family of multidimensional modulation formats in the presence of Gaussian disturbances and fading. Based on this property, we construct a class of local bounds for the EP that improve known generic bounds in a given region of the SNR and are invertible, as well as easily tractable for further analysis. This concept is motivated by the fact that communication systems often operate with performance in a certain region of interest (ROI) and, thus, it may be advantageous to have tighter bounds within this region instead of generic bounds valid for all SNRs. We present a possible application of these local bounds, but their relevance is beyond the example made in this paper. |
| first_indexed | 2024-09-23T12:06:16Z |
| format | Article |
| id | mit-1721.1/52395 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:06:16Z |
| publishDate | 2010 |
| publisher | Institute of Electrical and Electronics Engineers |
| record_format | dspace |
| spelling | mit-1721.1/523952022-10-01T08:09:37Z Log-concavity property of the error probability with application to local bounds for wireless communications Tralli, V. Sidenko, S. Panchenko, Dmitry A. Conti, Andrea Massachusetts Institute of Technology. Department of Mathematics Massachusetts Institute of Technology. Laboratory for Information and Decision Systems Conti, Andrea Sidenko, S. Panchenko, Dmitry A. Conti, Andrea clear understanding of the behavior of error probability (EP) as a function of signal-to-noise ratio (SNR) and other system parameters is fundamental for assessing the design of digital wireless communication systems. We propose an analytical framework based on the log-concavity property of the EP which we prove for a wide family of multidimensional modulation formats in the presence of Gaussian disturbances and fading. Based on this property, we construct a class of local bounds for the EP that improve known generic bounds in a given region of the SNR and are invertible, as well as easily tractable for further analysis. This concept is motivated by the fact that communication systems often operate with performance in a certain region of interest (ROI) and, thus, it may be advantageous to have tighter bounds within this region instead of generic bounds valid for all SNRs. We present a possible application of these local bounds, but their relevance is beyond the example made in this paper. FP7 Network of Excellence in Wireless Communications NEWCom++ FP7 European project OPTIMIX (Grant Agreement 214625) IEEE Information Theory Society 2010-03-08T20:47:08Z 2010-03-08T20:47:08Z 2009-05 2008-11 Article http://purl.org/eprint/type/JournalArticle 0018-9448 http://hdl.handle.net/1721.1/52395 Conti, A. et al. “Log-Concavity Property of the Error Probability With Application to Local Bounds for Wireless Communications.” Information Theory, IEEE Transactions on 55.6 (2009): 2766-2775. © 2009 IEEE https://orcid.org/0000-0001-6139-7126 en_US http://dx.doi.org/10.1109/TIT.2009.2018273 IEEE Transactions on Information Theory 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 | Tralli, V. Sidenko, S. Panchenko, Dmitry A. Conti, Andrea Log-concavity property of the error probability with application to local bounds for wireless communications |
| title | Log-concavity property of the error probability with application to local bounds for wireless communications |
| title_full | Log-concavity property of the error probability with application to local bounds for wireless communications |
| title_fullStr | Log-concavity property of the error probability with application to local bounds for wireless communications |
| title_full_unstemmed | Log-concavity property of the error probability with application to local bounds for wireless communications |
| title_short | Log-concavity property of the error probability with application to local bounds for wireless communications |
| title_sort | log concavity property of the error probability with application to local bounds for wireless communications |
| url | http://hdl.handle.net/1721.1/52395 https://orcid.org/0000-0001-6139-7126 |
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