On Outage Probability for Two-Way Relay Networks with Stochastic Energy Harvesting

Wei Li, Meng Lin Ku, Yan Chen, K. J. Ray Liu

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


In this paper, we propose an optimal relay transmission policy by using a stochastic energy harvesting (EH) model for the EH two-way relay network, wherein the relay is solar-powered and equipped with a finite-sized battery. In this policy, the long-Term average outage probability is minimized by adapting the relay transmission power to the wireless channel states, battery energy amount, and causal solar energy states. The designed problem is formulated as a Markov decision process (MDP) framework, and conditional outage probabilities for both decode-And-forward (DF) and amplify-And-forward (AF) cooperation protocols are adopted as the reward functions. We uncover a monotonic and bounded differential structure for the expected total discounted reward, and prove that such an optimal transmission policy has a threshold structure with respect to the battery energy amount in sufficiently high SNRs. Finally, the outage probability performance is analyzed and an interesting saturated structure for the outage performance is revealed, i.e., the expected outage probability converges to the battery empty probability in high SNR regimes, instead of going to zero. Furthermore, we propose a saturation-free condition that can guarantee a zero outage probability in high SNRs. Computer simulations confirm our theoretical analysis and show that our proposed optimal transmission policy outperforms other compared policies.

Original languageEnglish
Article number7442823
Pages (from-to)1901-1915
Number of pages15
JournalIEEE Transactions on Communications
Issue number5
StatePublished - May 2016


  • .
  • Markov decision process
  • Stochastic energy harvesting
  • amplify-And-forward
  • decode-And-forward
  • outage probability
  • two-way relay network


Dive into the research topics of 'On Outage Probability for Two-Way Relay Networks with Stochastic Energy Harvesting'. Together they form a unique fingerprint.

Cite this