A Formula Derivation of Channel Capacity Calculation in a MIMO System

  • Kabir, S.M.Humayun (Department of Information and Communications Engineering, KAIST) ;
  • Lee, Eun-Ju (Department of Information and Communications Engineering, KAIST) ;
  • Yoon, Gi-Wan (Department of Information and Communications Engineering, KAIST)
  • Published : 2009.06.30

Abstract

In this letter, we derive a tight closed-form formula for an ergodic capacity of a multiple-input multiple-output (MIMO) for the application of wireless communications. The derived expression is a simple closed-form formula to determine the ergodic capacity of MIMO systems. Assuming the channels are independent and identically distributed (i.i.d.) Rayleigh flat-fading between antenna pairs, the ergodic capacity can be expressed in a closed form as the finite sum of exponential integrals.

Keywords

References

  1. I.E. Teletar, "Capacity of multi antenna Gaussian channel", European Trans. Telecomm. (ETI), voI.10, no.6 pp.586-595, Nov./Dec.1999 https://doi.org/10.1002/ett.4460100604
  2. Mohammed-Slim Alouini, and Andrea J. Goldsmith, "Capacity of Rayleigh Fading Channels Under Different Adaptive Transmission and Diversity-Combining Techniques," IEEE Trans. Veh. TechnoI., voI.39, no.3, pp.187-189, Aug.1990 https://doi.org/10.1109/25.130999
  3. Kyung Seung Ahn, R. W. Heath, "Shannon Capacity and Symbol Error Rate of Space-Time Block Codes in MIMO Rayleigh Channels With Channel Estimation Error", IEEE Trans. Wireless Commun., vol. 7, no. 1, pp. 324-333, Jan. 2008 https://doi.org/10.1109/TWC.2008.060539
  4. H. Shin and J. H. Lee. "On the capacity of MIMO wireless channels," IEICE Trans. Commun., Vol. E87-B, no.3, pp. 671-677, Mar.2004
  5. M. J. Gans, "The effect of Gaussian error in maximal ratio combiners," IEEE Trans. Commun. Technol., vol. 19, no. 4, pp. 492-500, Aug. 1971 https://doi.org/10.1109/TCOM.1971.1090666
  6. I.S Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products, 5th ed., Academic, San Diego, Ca, 2000