Asymptotic ergodic capacity analysis for MIMO amplify-and-forward relay networks

Authors:
Kyoung-Jae Lee;Jin-Sung Kim;Giuseppe Caire;Inkyu Lee
Affiliations:
School of Electrical Engineering, Korea University, Seoul, Korea;School of Electrical Engineering, Korea University, Seoul, Korea;Department of Electrical Engineering, University of Southern California, Los Angeles, CA;School of Electrical Engineering, Korea University, Seoul, Korea
Venue:
IEEE Transactions on Wireless Communications
Year:
2010

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Abstract

In this letter, we analyze asymptotic ergodic capacity of MIMO amplify-and-forward (AF) relaying systems which employ linear processing at the relay. By exploiting the asymptotic results for eigenvalue distributions, we derive the ergodic capacity in various asymptotic antenna regimes as a closed-form expression with arbitrary system parameters. The analyzed results demonstrate that increasing the number of source antennas causes the capacity shrink phenomenon which is analogous to the channel hardening effect in" multi-user MIMO systems. Although we assume asymptotically large antennas to obtain the closed-form expressions, simulation results show that our derived expressions are surprisingly accurate even with the moderate number of antennas, and thus can serve for analyzing practical MIMO relay networks.