An analytical closed-form expression for the ergodic capacity of rayleigh fading MIMO channels and optimal antenna allocation

Mehdi Adibi, Vahid Tabataba Vakili

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4 Citations (Scopus)


In this paper, we derive an exact closed-form expression for the ergodic capacity of an i.i.d. Rayleigh fading MIMO channels when the transmitter has no channel knowledge (no CSIT) and when transmitter has channel distribution side information (CDIT). This new expression is in terms of the sum of two polynomials that one of them is multiplied by the exponential integral. The coefficients of these polynomials are characterized and recursive formulas are derived to evaluate them. Additionally, by placing an additional antenna at either transmitter or receiver, the achieved ergodic capacity is analytically and asymptoticly compared, and accordingly the antenna allocation that maximizes the ergodic capacity is determined.

Original languageEnglish
Title of host publication2008 International Symposium on Telecommunications, IST 2008
Number of pages7
Publication statusPublished - 2008
Externally publishedYes
EventInternational Symposium on Telecommunications 2008 - Tehran, Iran
Duration: 27 Aug 200828 Aug 2008


ConferenceInternational Symposium on Telecommunications 2008
Abbreviated titleIST 2008


  • Antenna allocation
  • Ergodic capacity
  • MIMO
  • Rayleigh fading

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