Rate-optimal fair power allocation in complex field network coded relay communications

Kayhan Eritmen, Mehmet Keskinoz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this paper, we consider the complex field network coded relay assisted communication (CFNC-RAC) channel. Although CFNC-RAC is spectrally efficient, its bit error rate performance is degraded by multi-access interference, which can be improved by appropriately allocating the user and relay powers. Since the fairness is an important factor for a practical multi-user communication system, we have proposed a rate-optimal fair power adaptation (ROFPA) technique in this work. The proposed ROFPA policy not only aims to maximize the average achievable sum-rate of CFNC-RAC under the use of the decode and forward relaying but also intends to satisfy the average rate-fairness restriction while taking the total power constraint and the network topology into account. We formulate the ROFPA as a non-convex optimization program and then derive an analytical solution for it. Extensive performance evaluation and numerical simulations validate that ROFPA method can provide significant sum-rate with considerable user fairness when compared to symbol-error-rate optimized (SER-OPT) policy proposed by Eritmen et al. (Wirel Netw, 2015. doi:10.1007/s11276-015-0924-1).

Original languageEnglish
Pages (from-to)1251-1267
Number of pages17
JournalWireless Networks
Issue number4
Publication statusPublished - 1 May 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015, Springer Science+Business Media New York.


  • Average rate-fairness
  • Complex field network coding
  • Decode-and-forward relaying
  • Power allocation
  • Relay communication


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