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Peer-reviewedCC BY 4.0Mathematics

Non-Orthogonal DF Relaying for SWIPT over Fading Channels with Power Adaptation

  • Dong-Woo Lim1
  • Jae-Mo Kang2
  1. 1Department of Information and Communications Engineering, Pukyong National University, Busan 48513, Republic of Korea
  2. 2Department of Artificial Intelligence, Kyungpook National University, Daegu 41566, Republic of Korea
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Abstract

This paper investigates two-phase non-orthogonal decode-and-forward (DF) relaying for simultaneous wireless information and power transfer (SWIPT) over fading channels. The source transmits in both phases, while the relay forwards the decoded information in the second phase and the destination employs power splitting in both phases. We jointly optimize the source-power allocation between the two phases and the power-splitting ratios to maximize the ergodic end-to-end achievable rate subject to a minimum average harvested-energy requirement. By exploiting the time-sharing property, the original nonconvex problem is solved using Lagrangian duality. Numerical results under Rayleigh fading show that the proposed adaptive scheme achieves a higher ergodic achievable rate and supports a wider range of feasible harvested-energy requirements than a conventional scheme employing a fixed power-splitting ratio, with the performance advantage becoming more pronounced under stringent harvested-energy requirements.

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Cite

BibTeXRIS
BibTeX
@article{lim2026nonorthogonal,
  title = {{Non-Orthogonal DF Relaying for SWIPT over Fading Channels with Power Adaptation}},
  author = {Dong-Woo Lim and Jae-Mo Kang},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14203702},
  url = {https://www.mdpi.com/2227-7390/14/20/3702},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Non-Orthogonal DF Relaying for SWIPT over Fading Channels with Power Adaptation
AU  - Dong-Woo Lim
AU  - Jae-Mo Kang
PY  - 2026
DA  - 2026/10/12
JO  - Mathematics
DO  - 10.3390/math14203702
UR  - https://www.mdpi.com/2227-7390/14/20/3702
AB  - This paper investigates two-phase non-orthogonal decode-and-forward (DF) relaying for simultaneous wireless information and power transfer (SWIPT) over fading channels. The source transmits in both phases, while the relay forwards the decoded information in the second phase and the destination employs power splitting in both phases. We jointly optimize the source-power allocation between the two phases and the power-splitting ratios to maximize the ergodic end-to-end achievable rate subject to a minimum average harvested-energy requirement. By exploiting the time-sharing property, the original nonconvex problem is solved using Lagrangian duality. Numerical results under Rayleigh fading show that the proposed adaptive scheme achieves a higher ergodic achievable rate and supports a wider range of feasible harvested-energy requirements than a conventional scheme employing a fixed power-splitting ratio, with the performance advantage becoming more pronounced under stringent harvested-energy requirements.
SN  - 2227-7390
ER  -