On the closed-form ergodic capacity of MIMO Rayleigh channels

Authors:
S. M. Humayun Kabir;Van-Su Pham;Giwan Yoon
Affiliations:
School of Engineering, Information and Communications University, Korea;School of Engineering, Information and Communications University, Korea;School of Engineering, Information and Communications University, Korea
Venue:
ICACT'09 Proceedings of the 11th international conference on Advanced Communication Technology - Volume 3
Year:
2009

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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 close-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.