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J Electromagn Eng Sci > Volume 14(4); 2014 > Article
Journal of Electromagnetic Engineering and Science 2014;14(4):349-352.
DOI: https://doi.org/10.5515/JKIEES.2014.14.4.349   
Achievable Ergodic Capacity of a MIMO System with a MMSE Receiver
Jae Hong Kim1, Nam Shik Kim2, Bong Seop Song1
1NESSLAB
2ReCoLAB
Abstract
This paper considers the multiple-input multiple-output (MIMO) system with linear minimum mean square error (MMSE) detection under ideal fast fading. For $N_t$ transmit and $N_r({geq}N_t)$ receive antennas, we derive the achievable ergodic capacity of MMSE detection exactly. When MMSE detection is considered in a receiver, we introduce a different approach that gives the approximation of a MIMO channel capacity at high signal-to-noise ratio (SNR). The difference between the channel capacity and the achievable capacity of MMSE detection converges to some constant that depends only on the number of antennas. We validate the analytical results by comparing them with Monte Carlo simulated results.
Key words: Capacity, Multiple-Input Multiple-Output (MIMO), Minimum Mean Square Error (MMSE), Signal to Interference and Noise Ratio (SINR)

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