Transceiver optimization for multi-hop MIMO relay multicasting from multiple sources

Muhammad R. A. Khandaker*, Yue Rong

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)
33 Downloads (Pure)


In this paper, we consider a multicasting multiple-input multiple-output (MIMO) relay system where multiple transmitters multicast their own messages to a group of receivers over multiple hops, and all nodes are equipped with multiple antennas. The joint transmit and relay precoding design problem has been investigated for multicasting multiple data streams based on min-max mean-squared error (MSE) criterion. We aim at minimizing the maximal MSE of the signal waveform estimation among all receivers subjecting to power constraints at the transmitters and all the relay nodes. This problem is highly nonconvex with matrix variables and the exactly optimal solution is very hard to obtain. We develop an iterative algorithm to jointly optimize the transmitter, relay, and receiver matrices by solving convex subproblems. By exploiting the optimal structure of the relay precoding matrices, we then propose a low complexity solution for the problem under some mild approximation. In particular, we show that under (moderately) high signal-to-noise ratio assumption, the min-max optimization problem can be solved using the semidefinite programming technique. Numerical simulations demonstrate the effectiveness of the proposed algorithms.

Original languageEnglish
Pages (from-to)5162-5172
Number of pages11
JournalIEEE Transactions on Wireless Communications
Issue number9
Publication statusPublished - Sept 2014


  • MIMO relay
  • multicasting
  • multihop relay
  • multiple sources
  • precoding

ASJC Scopus subject areas

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


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