Spatially Correlated Multiple-Ananna Channel Capacity Distributions

Tharmalingam Ratnarajah

Research output: Contribution to journalArticlepeer-review


In this paper, we investigate the capacity of multiple-input multiple-output (MIMO) wireless communication systems over spatially correlated Rayleigh distributed flat fading channels with complex Gaussian additive noise. Specifically, we derive the probability density function of the mutual information between transmitted and received complex signals of MIMO systems. Using this density we derive the closed-form ergodic capacity (mean), delay-limited capacity, capacity variance and outage capacity formulas for spatially correlated channels and then evaluate these formulas numerically. Numerical results show how the channel correlation degrades the capacity of MIMO communication systems. We also show that the density of mutual information of correlated/uncorrelated MIMO systems can be approximated by a Gaussian density with derived mean and variance, even for a finite number of inputs and outputs.
Original languageEnglish
Pages (from-to)263-271
Number of pages9
JournalIEE Proceedings - Communications
Volume153 (2)
Publication statusPublished - Apr 2006


Dive into the research topics of 'Spatially Correlated Multiple-Ananna Channel Capacity Distributions'. Together they form a unique fingerprint.

Cite this