Optimal schedules for the D-node half duplex phase fading MRC

  • Authors:
  • Lawrence Ong;Sarah J. Johnson;Mehul Motani

  • Affiliations:
  • School of Electrical Engineering and Computer Science, The University of Newcastle;School of Electrical Engineering and Computer Science, The University of Newcastle;Department of Electrical and Computer Engineering, National University of Singapore

  • Venue:
  • ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
  • Year:
  • 2009

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Abstract

In this paper, we extend our previous work on the half duplex multiple-relay channel (MRC). A capacity upper bound based on the max-flow min-cut argument and achievable transmission rates based on the decode-forward coding strategy (DF) for the half duplex MRC have been shown to be functions of the schedule of the network, which is defined as the probability mass function of the transmit state vector (a description of which nodes transmit and which receive). Finding the optimal (rate-maximizing) schedule for DF can be formulated as a maximin optimization problem which is not easily solved in general. In our recent paper, we presented a technique to find optimal schedules for the 4-node MRC based on minimax hypothesis testing. Closed-form solutions were obtained for certain channel topologies. In this paper, we extend the technique to solve for optimal schedules for the general D-node half duplex MRC, where D ≥ 3.