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

Kyoung Jae Lee, Jin Sung Kim, Giuseppe Caire, Inkyu Lee

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


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.

Original languageEnglish
Article number5529756
Pages (from-to)2712-2717
Number of pages6
JournalIEEE Transactions on Wireless Communications
Issue number9
Publication statusPublished - 2010 Sept

Bibliographical note

Funding Information:
This work was supported in part by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MEST) (No. 2010-0017909). The work of G. Caire was partially supported by the National Science Foundation (NSF) under grant CNS-0722073. The material in this paper was presented in part at the IEEE International Conference on Communications (ICC), Cape Town, South Africa, May 2010.


  • Multiple antennas
  • ergodic capacity
  • relay

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


Dive into the research topics of 'Asymptotic ergodic capacity analysis for MIMO amplify-and-forward relay networks'. Together they form a unique fingerprint.

Cite this