{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T14:45:44Z","timestamp":1761662744073,"version":"3.37.0"},"reference-count":19,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2009,2,5]],"date-time":"2009-02-05T00:00:00Z","timestamp":1233792000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Wireless Communications"],"published-print":{"date-parts":[[2010,2]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this paper, we present a finite\u2010signal\u2010to\u2010noise ratio (finite\u2010SNR) framework to establish tight bounds on the diversity\u2010multiplexing tradeoff of a multiple input multiple output (MIMO) system. We focus on a more realistic propagation environment where MIMO channel fading coefficients are correlated and where SNR values are finite. The impact of spatial correlation on the fundamental diversity\u2010multiplexing tradeoff is investigated. We present tight lower bounds on the outage probability of both spatially uncorrelated and correlated MIMO channels. Using these lower bounds, accurate finite\u2010SNR estimates of the diversity\u2010multiplexing tradeoff are derived. These estimates allow to gain insight on the impact of spatial correlation on the diversity\u2010multiplexing tradeoff at finite\u2010SNR. As expected, the diversity\u2010multiplexing tradeoff is severely degraded as the spatial correlation increases. For example, a MIMO system operating at a spectral efficiency of<jats:italic>R<\/jats:italic>bps\/Hz and at an SNR of 5\u2009dB in a moderately correlated channel, achieves a better diversity gain than a system operating at the same spectral efficiency and at an SNR of 10\u2009dB in a highly correlated channel, when the multiplexing gain<jats:italic>r<\/jats:italic>is greater than 0.8. Another interesting point is that provided that the spatial correlation channel matrix is of full rank, the maximum diversity gain is not affected by the spatial correlation. Copyright \u00a9 2009 John Wiley &amp; Sons, Ltd.<\/jats:p>","DOI":"10.1002\/wcm.751","type":"journal-article","created":{"date-parts":[[2009,2,7]],"date-time":"2009-02-07T02:42:19Z","timestamp":1233974539000},"page":"188-199","source":"Crossref","is-referenced-by-count":7,"title":["Diversity\u2010multiplexing tradeoff over correlated Rayleigh fading channels: a non\u2010asymptotic analysis"],"prefix":"10.1002","volume":"10","author":[{"given":"Zouheir","family":"Rezki","sequence":"first","affiliation":[]},{"given":"David","family":"Haccoun","sequence":"additional","affiliation":[]},{"given":"Fran\u00e7ois","family":"Gagnon","sequence":"additional","affiliation":[]},{"given":"Wessam","family":"Ajib","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2009,2,5]]},"reference":[{"doi-asserted-by":"publisher","key":"e_1_2_1_2_2","DOI":"10.1109\/JSAC.2003.809458"},{"doi-asserted-by":"publisher","key":"e_1_2_1_3_2","DOI":"10.1109\/18.661517"},{"doi-asserted-by":"publisher","key":"e_1_2_1_4_2","DOI":"10.1109\/18.771146"},{"issue":"6","key":"e_1_2_1_5_2","first-page":"585","article-title":"Capacity of multi\u2010antenna gaussian channels","volume":"10","author":"Telatar IE","year":"1999","journal-title":"European Transactions On Communication"},{"doi-asserted-by":"publisher","key":"e_1_2_1_6_2","DOI":"10.1002\/bltj.2015"},{"unstructured":"WolnianskyPW FoschiniGJ GoldenGD ValenzuelaRA.V\u2010blast: an architecture for realizing very high data rates over the rich\u2010scattering wireless channel. 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