Half-duplex relaying over slow fading channels based on quantize-and-forward

Sha Yao, Tùng T. Kim, Mikael Skoglund, H. Vincent Poor

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


The focus of this paper is to study the performance of the quantize-and-forward (QF) scheme over a half-duplex relay channel that is slowly fading, with the assumption that the channel state information (CSI) is available only at the receiver side. In order to do so, three steps are taken. The first step is to characterize the achievable rate of the QF scheme over a discrete memoryless half-duplex relay channel. Then, the achievable rate over a corresponding additive white Gaussian noise channel is obtained (the specific assumption regarding the CSI in this paper makes this step nontrivial). With the results from the first two steps, performance measures such as outage probability, expected rate, and diversity-multiplexing tradeoff (DMT) over slow fading channels are evaluated. It is shown that the QF scheme can significantly outperform the compress-and-forward scheme at finite signal-to-noise ratio (SNR) and it can achieve the optimal DMT at asymptotically high SNR. Moreover, it is shown that simple feedback from the destination node to the relay node can further improve the performance of the QF scheme.

Original languageEnglish (US)
Article number6329962
Pages (from-to)860-872
Number of pages13
JournalIEEE Transactions on Information Theory
Issue number2
StatePublished - 2013

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


  • Half-duplex relay channels
  • outage probability
  • partial feedback
  • quantize-and-forward (QF)
  • slow fading channels


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