Linear Precoder Design for SWIPT-Enabled Relay Networks With Finite-Alphabet Inputs

This paper considers the problem of mutual information maximization in a two-hop relay network with simultaneous wireless information and power transfer (SWIPT), where the relay nodes use the power splitting (PS) scheme to harvest the energy for information forwarding. Unlike previous research, this...

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Published in:IEEE access Vol. 8; pp. 82012 - 82023
Main Authors: Chen, Baojun, Zhu, Xiaodong, Tu, Xiaodong, Guo, Yunshan
Format: Journal Article
Language:English
Published: Piscataway IEEE 2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN:2169-3536, 2169-3536
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Abstract This paper considers the problem of mutual information maximization in a two-hop relay network with simultaneous wireless information and power transfer (SWIPT), where the relay nodes use the power splitting (PS) scheme to harvest the energy for information forwarding. Unlike previous research, this paper focuses on a more practical scenario, where the inputs to the network are assumed to be finite-alphabet signals. Although each node in the network is assumed to have single antenna, we show that the relay network can be regarded as an effective multiple-input multiple-output (MIMO) system. Our goal is to perform the joint optimization on the precoder at source and PS ratio at relays to maximize the mutual information. Although the formulated problem is nondeterministic polynomial-time (NP)-hard, we theoretically analyze the optimal PS ratio; then, by using the structure of optimization problem, a near optimal precoder design based on semidefinite relaxation (SDR) is proposed; further, to reduce the complexity of algorithm, another precoder design based on search technique, which exploiting the structure of precoder, is developed only with a slight performance degradation. Simulation results verify the efficacy of proposed precoder designs.
AbstractList This paper considers the problem of mutual information maximization in a two-hop relay network with simultaneous wireless information and power transfer (SWIPT), where the relay nodes use the power splitting (PS) scheme to harvest the energy for information forwarding. Unlike previous research, this paper focuses on a more practical scenario, where the inputs to the network are assumed to be finite-alphabet signals. Although each node in the network is assumed to have single antenna, we show that the relay network can be regarded as an effective multiple-input multiple-output (MIMO) system. Our goal is to perform the joint optimization on the precoder at source and PS ratio at relays to maximize the mutual information. Although the formulated problem is nondeterministic polynomial-time (NP)-hard, we theoretically analyze the optimal PS ratio; then, by using the structure of optimization problem, a near optimal precoder design based on semidefinite relaxation (SDR) is proposed; further, to reduce the complexity of algorithm, another precoder design based on search technique, which exploiting the structure of precoder, is developed only with a slight performance degradation. Simulation results verify the efficacy of proposed precoder designs.
Author Chen, Baojun
Zhu, Xiaodong
Tu, Xiaodong
Guo, Yunshan
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Cites_doi 10.1109/TWC.2016.2515090
10.1109/JSAC.2015.2391931
10.1109/JPROC.2013.2250891
10.1109/JSAC.2018.2872361
10.1109/TVT.2007.897642
10.1109/ACCESS.2019.2921397
10.1109/TMTT.2016.2533619
10.1109/TWC.2008.070042
10.1109/JCN.2019.000003
10.1109/TCOMM.2016.2603989
10.1109/LCOMM.2015.2513768
10.1109/MAP.2009.5162013
10.1109/MCOM.2017.1600806
10.1109/TIT.2006.876220
10.1109/TSP.2011.2140112
10.1109/ACCESS.2019.2914020
10.1109/TWC.2012.012412.110747
10.1109/JSAC.2018.2872367
10.1109/GLOCOM.2008.ECP.898
10.1109/TVT.2017.2725998
10.1109/WCL.2012.121411.110025
10.1109/TWC.2014.2363105
10.1109/TVT.2017.2712774
10.1109/TVT.2018.2846556
10.1109/TSP.2008.929120
10.1109/TWC.2006.1611096
10.1109/TWC.2013.111013.121386
10.1109/MCOM.001.1900089
10.1109/JPROC.2013.2244053
10.1109/TCOMM.2015.2402277
10.1109/ACCESS.2016.2646387
10.1109/LCOMM.2018.2835482
10.1017/CBO9780511804441
10.1109/TWC.2011.050511.101733
10.1109/TSP.2012.2188717
10.1109/JSAC.2012.121103
10.1049/iet-com.2012.0731
10.1109/TSP.2011.2164401
10.1109/ACCESS.2019.2950601
10.1109/ACCESS.2019.2925939
10.1109/TVT.2019.2917069
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References ref13
ref12
ref37
ref15
ref36
ref14
ref31
ref30
ref33
grant (ref34) 2016
ref11
ref32
ref10
ref2
ref1
ref39
ref17
ref38
ref16
ref19
ref18
luo (ref35) 2010
ref24
ref23
ref26
ref25
ref20
ref42
ref41
ref22
ref21
ref43
ref28
ref27
ref29
ref8
ref7
ref9
ref4
ref3
ref6
ref5
ref40
References_xml – ident: ref27
  doi: 10.1109/TWC.2016.2515090
– ident: ref18
  doi: 10.1109/JSAC.2015.2391931
– ident: ref40
  doi: 10.1109/JPROC.2013.2250891
– ident: ref33
  doi: 10.1109/JSAC.2018.2872361
– ident: ref30
  doi: 10.1109/TVT.2007.897642
– ident: ref7
  doi: 10.1109/ACCESS.2019.2921397
– ident: ref41
  doi: 10.1109/TMTT.2016.2533619
– ident: ref29
  doi: 10.1109/TWC.2008.070042
– ident: ref10
  doi: 10.1109/JCN.2019.000003
– ident: ref16
  doi: 10.1109/TCOMM.2016.2603989
– ident: ref6
  doi: 10.1109/LCOMM.2015.2513768
– ident: ref43
  doi: 10.1109/MAP.2009.5162013
– ident: ref12
  doi: 10.1109/MCOM.2017.1600806
– ident: ref19
  doi: 10.1109/TIT.2006.876220
– ident: ref20
  doi: 10.1109/TSP.2011.2140112
– ident: ref17
  doi: 10.1109/ACCESS.2019.2914020
– ident: ref23
  doi: 10.1109/TWC.2012.012412.110747
– ident: ref11
  doi: 10.1109/JSAC.2018.2872367
– ident: ref36
  doi: 10.1109/GLOCOM.2008.ECP.898
– year: 2010
  ident: ref35
  article-title: SDP relaxation of homogeneous quadratic optimization: Approximation bounds and applications
  publication-title: Convex Optimization in Signal Processing and Communications
– ident: ref4
  doi: 10.1109/TVT.2017.2725998
– ident: ref21
  doi: 10.1109/WCL.2012.121411.110025
– ident: ref26
  doi: 10.1109/TWC.2014.2363105
– ident: ref28
  doi: 10.1109/TVT.2017.2712774
– ident: ref15
  doi: 10.1109/TVT.2018.2846556
– ident: ref2
  doi: 10.1109/TSP.2008.929120
– ident: ref31
  doi: 10.1109/TWC.2006.1611096
– ident: ref9
  doi: 10.1109/TWC.2013.111013.121386
– year: 2016
  ident: ref34
  publication-title: CVX MATLAB Software for Disciplined Convex Programming
– ident: ref1
  doi: 10.1109/MCOM.001.1900089
– ident: ref39
  doi: 10.1109/JPROC.2013.2244053
– ident: ref8
  doi: 10.1109/TCOMM.2015.2402277
– ident: ref13
  doi: 10.1109/ACCESS.2016.2646387
– ident: ref14
  doi: 10.1109/LCOMM.2018.2835482
– ident: ref38
  doi: 10.1017/CBO9780511804441
– ident: ref3
  doi: 10.1109/TWC.2011.050511.101733
– ident: ref22
  doi: 10.1109/TSP.2012.2188717
– ident: ref32
  doi: 10.1109/JSAC.2012.121103
– ident: ref37
  doi: 10.1049/iet-com.2012.0731
– ident: ref5
  doi: 10.1109/TSP.2011.2164401
– ident: ref42
  doi: 10.1109/ACCESS.2019.2950601
– ident: ref24
  doi: 10.1109/ACCESS.2019.2925939
– ident: ref25
  doi: 10.1109/TVT.2019.2917069
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SubjectTerms Algorithms
Alphabets
Codes
Energy harvesting
Finite-alphabet inputs
MIMO (control systems)
MIMO communication
Mutual information
Optimization
Performance degradation
Polynomials
Power transfer
precoder design
Precoding
relay network
Relay networks
Relay networks (telecommunications)
SWIPT
Symmetric matrices
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Title Linear Precoder Design for SWIPT-Enabled Relay Networks With Finite-Alphabet Inputs
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