Impact of fading correlations on MIMO communication systems in geometry-based statistical channel models

Claude Oestges, Bruno Clerckx, Danielle Vanhoenacker-Janvier, Arogyaswami J. Paulraj

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)


This paper highlights the impact of channel correlations on the capacity and performance of MIMO communications, with a focus on the so-called diagonal correlations. Based on this analysis, the limitations of simplified mathematical representations, such as the Kronecker or the diagonal-decorrelation models, are pointed out. Finally, the correlation properties of popular geometry-based statistical models are studied in order to analyze whether the correlation structure of these models can be adequately represented by simplified mathematical models, as well as to quantify the errors introduced by these simplifications. With respect to channel correlations, neither the Kronecker nor the diagonal-decorrelation assumptions are good representations of the correlation structure of the investigated geometry-based statistical models. When comparing capacity and symbol error probability results, it is found that the diagonal-decorrelation model may yield significant errors on both considered metrics. The Kronecker model generally yields errors less than one order of magnitude on the symbol error rate, but relative errors on ergodic or outage capacity may be more significant.

Original languageEnglish
Pages (from-to)1112-1119
Number of pages8
JournalIEEE Transactions on Wireless Communications
Issue number3
Publication statusPublished - 2005 May

Bibliographical note

Funding Information:
Manuscript received April 16, 2003; revised February 26, 2004; accepted February 27, 2004. The editor coordinating the review of this paper and approving it for publication is A. Molisch. This work was supported in part by the Belgian National Science Foundation under Fonds National de la Recherche Scientifique and under Fonds pour la formation à la Recherche dans l’Industrie et dans l’Agriculture, in part by the National Science Foundation under Grants CCR-0241919 and CCR-0241921, in part by the Intel Corporation, and in part by Sprint Corporation.


  • Communication system performance
  • Correlation
  • MEMO systems
  • Rayleigh channels

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


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