A general robust linear transceiver design for multi-hop amplify-and-forward MIMO relaying systems

Chengwen Xing, Shaodan Ma, Zesong Fei, Yik Chung Wu, H. Vincent Poor

Research output: Contribution to journalArticlepeer-review

138 Scopus citations


In this paper, linear transceiver design for multi-hop amplify-and-forward (AF) multi-input multi-output (MIMO) relaying systems with Gaussian distributed channel estimation errors is investigated. Commonly used transceiver design criteria including weighted mean-square-error (MSE) minimization, capacity maximization, worst-MSE/MAX-MSE minimization and weighted sum-rate maximization, are considered and unified into a single matrix-variate optimization problem. A general robust design algorithm is proposed to solve the unified problem. Specifically, by exploiting majorization theory and properties of matrix-variate functions, the optimal structure of the robust transceiver is derived when either the covariance matrix of channel estimation errors seen from the transmitter side or the corresponding covariance matrix seen from the receiver side is proportional to an identity matrix. Based on the optimal structure, the original transceiver design problems are reduced to much simpler problems with only scalar variables whose solutions are readily obtained by an iterative water-filling algorithm. A number of existing transceiver design algorithms are found to be special cases of the proposed solution. The differences between our work and the existing related work are also discussed in detail. The performance advantages of the proposed robust designs are demonstrated by simulation results.

Original languageEnglish (US)
Article number6422411
Pages (from-to)1196-1209
Number of pages14
JournalIEEE Transactions on Signal Processing
Issue number5
StatePublished - 2013

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Electrical and Electronic Engineering


  • Amplify-and-forward (AF)
  • MIMO relaying
  • matrix-variate optimization
  • robust transceiver design


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