Joint Resource Allocation in a TwoWay Relaying Simultaneous Wireless Information and Power Transfer System
Abstract
:1. Introduction
1.1. Background and Motivation
1.2. Related Work
1.3. Contributions
 First, we construct a twoway singlerelay communication system (SRTWRS), in which the relay assists the source node in multiple twoway communications while collecting energy in conjunction with a TS broadcast transmission scheme. The relay uses the collected energy to assist in forwarding and accumulates and stores some of the energy for subsequent communications.
 Second, the model is further extended to a twoway multirelay communication system (MRTWRS) by defining the system’s equivalent profitability. Only one optimal relay is selected to participate in collaborative communication at a time, and the relay selection is based on maximizing the system’s equivalent profit.
 Finally, the optimal optimization problem for the instantaneous transmission rate in a twoway singlerelay communication system is solved by the Lagrange dual method. Furthermore, based on this, the outage probability of a single node in the system is analysed theoretically, and the expression of outage probability is derived. The proposed joint optimization algorithm is demonstrated to have a significant improvement in the instantaneous transmission rate compared with the traditional comparison algorithm by simulation. In the twoway multirelay communication system, our proposed accumulative energy based on SWIPT enhances the system equivalence profit significantly compared to the comparison algorithm
2. SWIPT in TwoWay SingleRelay Communication
2.1. System Model
2.2. Problem Formulation
2.3. Joint Optimization Algorithm
2.3.1. Power Optimization
2.3.2. Time Slot Optimization
Algorithm 1 Proposed algorithm for the joint optimization problem in the SRTWRS scenario. 
Initialize: Given the dual variables $\mathbf{\alpha}\left(t\right)$, the iteration step size $\tau $, convergence parameter $\u03f5$ and time slot allocation factor ${\beta}_{i}\left(1\right)$. Let $t=1$.

2.4. Outage Probability Analysis
3. SWIPT in TwoWay MultiRelay Communication
3.1. System Model
3.2. Problem Formulation
3.2.1. Power Optimization
3.2.2. Time Slot Optimization
3.2.3. Dual Variable Update
Algorithm 2 Proposed algorithm for the joint optimization problem in the MRTWRS scenario. 
Initialize: Given the dual variable $\lambda \left(t\right)$, the iteration step size $\tau $, convergence parameter $\u03f5$ and time slot allocation factor ${\beta}_{i}\left(1\right)$. Let $t=1$.

4. Simulation Results
4.1. SRTWRS Scenario Analysis
4.2. MRTWRS Scenario Analysis
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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Ref.  Network Structure  EH Mechanisms  Relay Properties  Stored Energy or Not  Research Interests 

[8]  $S\to D$  Dynamic power splitting  No relay  No  Rateenergy performance tradeoff 
[9]  MISO  PS  No relay  No  Transmit power minimization 
[13]  Twoway relay  Energy receiver  AF  No  System secrecy transmission rate maximization 
[14]  $S\to R\to D$  TS  DF FD  No  Throughput maximization 
[15]  Twoway MISO  TS PS  No relay  No  Sum spectral efficiency maximization 
[16]  $S\to R\to D$  TS PS  AF  No  Throughput maximization 
[17]  $S\to R\to D$  TS PS  DF  No  Throughput maximization 
[18]  Twoway relay  TS  DF FD  No  Throughput maximization 
[19]  $S\to R\to D$  No SWIPT  DF  No  Outage probability minimization 
[20]  $S\to R\to D$  TS  AF DF  No  Outage probability minimization 
[21]  Twoway relay  No SWIPT  Partial relay selection  No  Outage probability minimization 
Notation  Physical Meaning 

${h}_{x}$  channel gains of the twoway links 
${d}_{x}$  distance between nodes 
$\theta $  channel fading factor 
${\beta}_{i}$  time slot allocation factor 
${\rho}_{i}$  power splitting factor 
T  the total communication time 
${x}_{1,i}$, ${x}_{2,i}$, ${x}_{R,i}$  normalized signals transmitted by source nodes and the relay node 
${n}_{x,i}$  noise at the relay node due to power splitting 
${P}_{x,i}$, ${P}_{R,i}$  transmitted power of the two source nodes and the relay 
$\eta $  relay energy conversion efficiency 
${B}_{R,i}$  the accumulated stored energy of the relay node 
${P}_{c}$  the inherent consumption of the relay circuit 
${B}_{max}$  the inherent consumption of the relay circuit 
${\gamma}_{th}$  SINR threshold 
Parameters  Values 

Distance between nodes  ${d}_{1}=1m$, ${d}_{2}=1m$, ${d}_{3}=1.5m$ 
Path loss factor  $\theta =3$ 
Channel Gain  ${h}_{1}=1.2$, ${h}_{2}=1$, ${h}_{0}=0.8$ 
AWGN Power  ${\sigma}_{1}^{2}={\sigma}_{2}^{2}={\sigma}_{0}^{2}={10}^{3}W$ 
Inherent consumption of relay  ${P}_{c}=0.1W$ 
Source nodes transmit power  ${P}_{A,i}={P}_{B,i}={P}_{i}$ 
Relay energy conversion efficiency  $\eta =0.6$ 
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Ru, X.; Wang, G.; Wang, X.; Li, B. Joint Resource Allocation in a TwoWay Relaying Simultaneous Wireless Information and Power Transfer System. Electronics 2023, 12, 1941. https://doi.org/10.3390/electronics12081941
Ru X, Wang G, Wang X, Li B. Joint Resource Allocation in a TwoWay Relaying Simultaneous Wireless Information and Power Transfer System. Electronics. 2023; 12(8):1941. https://doi.org/10.3390/electronics12081941
Chicago/Turabian StyleRu, Xuefei, Gang Wang, Xiuhong Wang, and Bo Li. 2023. "Joint Resource Allocation in a TwoWay Relaying Simultaneous Wireless Information and Power Transfer System" Electronics 12, no. 8: 1941. https://doi.org/10.3390/electronics12081941