Abstract
In this paper, device to device (D2D) network is studied to support transmission in close distance among group of two users. Such two users benefit from new technique of multiple access, namely non-orthogonal multiple access. Two modes of D2D are considered, such as direct and relay links. Energy harvesting and design of multiple antennas have main impacts on system performance. We derive the closed-form expressions of outage probability for two devices in many scenarios. The Decode and Forward relaying scheme is adopted in this study. To ensure the quality of service (QoS) for the devices, suitable mode can be decided based on specific demand. We compare system performance by varying main parameters such as power allocation factors or transmit signal to noise ratio. Numerical results are performed to verify the effectiveness of the proposed D2D transmission strategies.
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Appendix
Appendix
Proof of Proposition 2
Based on (26), the outage probability of \(U_3\) can be expressed as
Furthermore, \({{\varTheta _1}}\) can be calculated as
Next, \({{\varTheta _2}}\) is computed by
Based on (32), let \(\sigma = \max \left( {\frac{{{\mu _2}}}{{\beta \left( {{\delta _3} - {\mu _2}{\delta _4}} \right) }},\frac{{{\mu _2}}}{{{\delta _4}\beta }}} \right) \), \({{\varTheta _2}}\) can be calculated as
Plugging above values of (31) and (33) into (30) we obtain final formula.
This is end of proof. \(\square \)
Proof of Proposition 3
The outage probability for \(U_2\) can therefore be obtained as
With \({\delta _3} > {\mu _1}{\delta _4}\), it can be given that
By using the \( \int _0^\infty {{e^{\left( { - \frac{\beta }{{4x}} - \gamma x} \right) }}dx = \sqrt{\frac{\beta }{\gamma }} {\mathrm{K}_1}\left( {\sqrt{\beta \gamma } } \right) } \) [27].
Similarly, it can be obtained the closed-form of \(U_3\) such as
It completes Proposition 3. \(\square \)
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Do, DT., Van Nguyen, MS. New Look on Device to Device NOMA Systems: with and Without Wireless Power Transfer Modes. Wireless Pers Commun 116, 2485–2500 (2021). https://doi.org/10.1007/s11277-020-07806-0
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DOI: https://doi.org/10.1007/s11277-020-07806-0