On Analytical Derivations of the Condition Number Distributions of Dual Non-Central Wishart Matrices

M. Matthaiou, David Laurenson, C. X. Wang

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we explore the statistical characterization of Multiple-Input Multiple-Output (MIMO) channel correlation matrices with the main focus being on their condition number statistics. More specifically, novel expressions are derived for the probability density function (PDF) and cumulative distribution function (CDF) of the MIMO condition number. Contrary to the majority of related studies, where only the common case of Rayleigh fading was considered, our investigation is extended to account for the generalized case of Ricean fading where a deterministic Line-Of-Sight (LoS) component exists in the communication link. The overall analysis is based on the principles of random matrix theory and particularly of dual complex non-central Wishart matrices; the latter represent a practical class of MIMO systems, namely dual-branch systems which are equipped with two transmit and receive antenna elements. All the derived formulae are validated through extensive simulations with the attained accuracy being remarkably good.
Original languageEnglish
Pages (from-to)1212-1217
Number of pages6
JournalIEEE Transactions on Wireless Communications
Volume8
Issue number3
DOIs
Publication statusPublished - Mar 2009

Keywords

  • MIMO systems
  • non-central Wishart matrices
  • condition number
  • Ricean fading

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