Multi-hop MIMO relay networks: Diversity-multiplexing trade-off analysis

Deniz Gündüz, Mohammad Amir Khojastepour, Andrea Goldsmith, H. Vincent Poor

Research output: Contribution to journalArticlepeer-review

60 Scopus citations


A multi-hop relay network with multiple antenna terminals in a quasi-static slow fading environment is considered. The fundamental diversity-multiplexing gain tradeoff (DMT) is analyzed in the case of half-duplex relay terminals. While decodeand- forward (DF) relaying achieves the optimal DMT in the fullduplex relay scenario, it is shown that the dynamic decode-andforward (DDF) protocol achieves the optimal DMT if the relay is constrained to half-duplex operation. For the latter case, static DF protocols are considered as well, and the corresponding DMT performance is shown to fall short of the optimal performance, which indicates that dynamic channel allocation is required for optimal DMT performance. The optimal DMT is expressed as the solution of a convex optimization problem and explicit DMT expressions are presented for some special cases. In the case of multiple relays, it is shown that the optimal diversity gain, which is achieved by exploiting the available "hop-diversity", is dominated by the neighboring two-hops with the minimum diversity gain.

Original languageEnglish (US)
Article number5463228
Pages (from-to)1738-1747
Number of pages10
JournalIEEE Transactions on Wireless Communications
Issue number5
StatePublished - May 2010

All Science Journal Classification (ASJC) codes

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


  • Decode-and-forward
  • Diversity-multiplexing trade-off
  • Multi-hop
  • Outage probability
  • Relay networks


Dive into the research topics of 'Multi-hop MIMO relay networks: Diversity-multiplexing trade-off analysis'. Together they form a unique fingerprint.

Cite this