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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)
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
Channel capacity; multiple antennas; MIMO; wireless communications;
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