SCIENCE CHINA Information Sciences, Volume 60, Issue 10: 102306(2017) https://doi.org/10.1007/s11432-016-0611-x

## Throughput and BER of wireless powered DF relaying in Nakagami-${\boldsymbol m}$ fading

• AcceptedNov 21, 2016
• PublishedJun 28, 2017
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### Abstract

Energy harvesting provides a promising solution to the extra energy requirement at the relay due to relaying. In this paper, the throughput and bit error rate of a decode-and-forward relaying system are studied using power splitting wireless power. Three different transmission scenarios are considered: instantaneous transmission, delay- or error-constrained transmission and delay- or error-tolerant transmission. For each scenario, exact expressions for the throughput and bit error rate are derived. Numerical results show that, for instantaneous transmission, the optimum splitting factor is not sensitive to the channel gain of the source-to-relay link. For delay- or error-constrained transmissions, the optimum splitting factor increases with the quality of the source-to-relay link and decreases with the quality of the relay-to-destination link. For delay- or error-tolerant transmissions, the optimum splitting factor is insensitive to the quality of the source-to-relay link.

### Acknowledgment

The work of Yan Gao was financially supported by Open Foundation of Engineering Research and Development Center for Nanjing College of Information Technology (Grant No. KF20150104), Research Project of Nanjing College of Information Technology (Grant No. YK20150102), Top-notch Academic Programs Project of Jiangsu Higher Education Institutions (Grant No. PPZY2015C242). The work of Aiqun Hu was supported in part by National Natural Science Foundation of China (Grant No. 61571110).

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• Figure 1

A diagram of the considered system.

• Figure 2

(Color online) Throughput vs. $\rho$ for different values of $\eta$, $\beta_1$ and $\beta_2$ in instantaneous transmission.

• Figure 3

(Color online) BER vs. $\rho$ for different values of $\eta$, $\beta_1$ and $\beta_2$ in instantaneous transmission.

• Figure 4

(Color online) The optimum value of $\rho$ vs. $\beta_1$ or $\beta_2$ when $\eta = 0.3$ to achieve the maximum throughput in instantaneous transmission.

• Figure 5

(Color online) The achieved maximum throughput vs. $\beta_1$ or $\beta_2$ when $\eta = 0.3$ in instantaneous transmission.

• Figure 6

(Color online) Throughput vs. $\rho$ for different values of $\eta$, $R_0$ when $m_1=m_2=2$ in delay-constrained transmission.

• Figure 7

(Color online) BCR vs. $\rho$ for different values of ${\rm BER}_0$ and different bounds when $\eta=0.3$ and $m_1=m_2=2$ in error-constrained transmission.

• Figure 8

(Color online) The optimum value of $\rho$ vs. $\beta_1$ or $\beta_2$ when $m_1=m_2=2$, $\eta = 0.3$ and $R_0 = 3$ for the maximum throughput in delay-constrained transmission.

• Figure 9

(Color online) Throughput vs. $\rho$ for different values of Nakagami-$m$ parameter and $\eta$ in delay-tolerant transmission.

• Figure 10

(Color online) BER vs. $\rho$ for different values of Nakagami-$m$ parameter and $\eta$ in error-tolerant transmission.

• Figure 11

(Color online) The optimum value of $\rho$ vs. $\beta_1$ or $\beta_2$ when $m_1=m_2=2$ and $\eta = 0.3$ for the maximum throughput in delay-tolerant transmission.

• Figure 12

(Color online) The optimum value of $\rho$ vs. $\beta_1$ or $\beta_2$ when $m_1=m_2=2$ and $\eta = 0.3$ for the minimum BER in error-tolerant transmission.

• Figure 13

(Color online) The optimum value of $\rho$ in (21) vs. $d_r$ for the maximum throughput in instantaneous transmission for different path loss parameters.

• Figure 14

(Color online) The achieved maximum throughput vs. $d_r$ in instantaneous transmission for different path loss parameters.

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