On the Energy Efficiency-Spectral Efficiency Tradeoff in MIMO-OFDMA Broadcast Channels

This paper investigates the fundamental energy efficiency-spectral efficiency (EE-SE) relationship in a multiple-input-multiple-output (MIMO) orthogonal frequency-division multiple-access (OFDMA) broadcast channel with a practical power model considering the power consumption due to the number of ad...

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Vydáno v:IEEE transactions on vehicular technology Ročník 65; číslo 7; s. 5185 - 5199
Hlavní autoři: Jie Tang, So, Daniel K. C., Alsusa, Emad, Hamdi, Khairi Ashour, Shojaeifard, Arman
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.07.2016
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN:0018-9545, 1939-9359
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Abstract This paper investigates the fundamental energy efficiency-spectral efficiency (EE-SE) relationship in a multiple-input-multiple-output (MIMO) orthogonal frequency-division multiple-access (OFDMA) broadcast channel with a practical power model considering the power consumption due to the number of admitted users, as well as the number of active transmit antennas. However, with this power model, the EE-SE tradeoff optimization problem, which jointly optimizes the transmit covariance matrices while determining the optimal admitted user set and the active transmit antenna set, is nonconvex, and hence, it is extremely difficult to solve directly. As a result, we propose an algorithm that decouples the multicarrier EE optimization problem to a set of single-carrier EE optimization problems. For the single-carrier EE optimization problem, we first investigate the EE-SE tradeoff problem with a fixed admitted user set and transmit antenna set. Under this setup, we prove that the EE-SE relationship is a quasiconcave function. Furthermore, EE is proved to be either strictly decreasing with SE or first strictly increasing and then strictly decreasing with SE. Based on these findings, we propose a two-layer resource allocation algorithm to tackle the comprehensive EE-SE tradeoff problem. Meanwhile, since admitting more users and activating more transmit antennas can achieve a higher sum rate at the cost of larger transmit-independent power consumption, there exists a tradeoff between sum-rate gain and power consumption. We therefore study the user and antenna selection approach to further explore the optimal tradeoff. Both the optimal exhaustive search and the Frobenius-norm-based dynamic selection schemes are developed to further improve the achievable EE. To further reduce the computational complexity, a strategy that chooses a fixed admitted user set for all the subcarriers is developed. Simulation results confirm the theoretical findings and demonstrate that the proposed resource allocation algorithm can efficiently approach the optimal EE-SE tradeoff.
AbstractList This paper investigates the fundamental energy efficiency-spectral efficiency (EE-SE) relationship in a multiple-input-multiple-output (MIMO) orthogonal frequency-division multiple-access (OFDMA) broadcast channel with a practical power model considering the power consumption due to the number of admitted users, as well as the number of active transmit antennas. However, with this power model, the EE-SE tradeoff optimization problem, which jointly optimizes the transmit covariance matrices while determining the optimal admitted user set and the active transmit antenna set, is nonconvex, and hence, it is extremely difficult to solve directly. As a result, we propose an algorithm that decouples the multicarrier EE optimization problem to a set of single-carrier EE optimization problems. For the single-carrier EE optimization problem, we first investigate the EE-SE tradeoff problem with a fixed admitted user set and transmit antenna set. Under this setup, we prove that the EE-SE relationship is a quasiconcave function. Furthermore, EE is proved to be either strictly decreasing with SE or first strictly increasing and then strictly decreasing with SE. Based on these findings, we propose a two-layer resource allocation algorithm to tackle the comprehensive EE-SE tradeoff problem. Meanwhile, since admitting more users and activating more transmit antennas can achieve a higher sum rate at the cost of larger transmit-independent power consumption, there exists a tradeoff between sum-rate gain and power consumption. We therefore study the user and antenna selection approach to further explore the optimal tradeoff. Both the optimal exhaustive search and the Frobenius-norm-based dynamic selection schemes are developed to further improve the achievable EE. To further reduce the computational complexity, a strategy that chooses a fixed admitted user set for all the subcarriers is developed. Simulation results confirm the theoretical findings and demonstrate that the proposed resource allocation algorithm can efficiently approach the optimal EE-SE tradeoff.
Author Jie Tang
So, Daniel K. C.
Shojaeifard, Arman
Alsusa, Emad
Hamdi, Khairi Ashour
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  givenname: Daniel K. C.
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Cites_doi 10.1109/TWC.2014.2316791
10.1109/MCOM.2011.5783982
10.1002/wcm.698
10.1109/TIT.2004.825003
10.1007/s11432-012-4766-5
10.1109/TIT.2002.1003824
10.1109/TIT.2006.880064
10.1109/TIT.2014.2354403
10.1109/JSTSP.2014.2309942
10.1109/GLOCOMW.2010.5700169
10.1109/GLOCOM.2010.5683700
10.1109/TCOMM.2013.071813.120823
10.1109/TWC.2011.091411.110249
10.1109/TCOMM.2013.043013.130100
10.1109/TVT.2014.2352713
10.1109/MWC.2011.5999761
10.1109/TCOMM.2009.05.060656
10.1109/VETECS.2011.5956185
10.1109/TIT.2003.817429
10.1109/TVT.2014.2319078
10.1109/TCOMM.2014.2364040
10.1109/LCOMM.2014.2331273
10.1109/TVT.2014.2310773
10.1109/TWC.2012.122212.120086
10.1109/LCOMM.2014.2366463
10.1109/TCOMM.2015.2442246
10.1109/TCOMM.2012.031712.110215
10.1109/JSAC.2013.131127
10.1109/TIT.2009.2025556
10.1109/JSAC.2015.2435351
10.1109/TIT.2007.909170
10.1109/LCOMM.2012.042512.120253
10.1109/TIT.2003.817421
10.1109/TCOMM.2012.052412.100135
10.1109/TIT.2005.846425
10.1109/MSP.2007.361602
10.1109/TVT.2014.2345195
10.1186/1687-1499-2011-200
10.1007/978-3-642-29479-2_2
10.1017/CBO9780511804441
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References ref35
ref13
ref34
ref12
holmes (ref42) 2007
ref37
fu (ref15) 2013; 31
ref36
ref14
ref31
ref30
ref33
ref11
ref32
ref10
ref2
ref1
ref39
ref17
ref16
ref19
ref18
boyd (ref38) 2007
(ref43) 2011
ref24
ref23
ref26
hellings (ref20) 0
ref25
ref41
ref22
ref44
ref21
ref28
ref27
ref29
ref8
ref7
ref9
ref4
ref3
ref6
ref5
ref40
References_xml – ident: ref31
  doi: 10.1109/TWC.2014.2316791
– ident: ref27
  doi: 10.1109/MCOM.2011.5783982
– start-page: 1
  year: 2007
  ident: ref42
  article-title: Fast SVD for large scale matrices
– ident: ref22
  doi: 10.1002/wcm.698
– ident: ref25
  doi: 10.1109/TIT.2004.825003
– ident: ref37
  doi: 10.1007/s11432-012-4766-5
– ident: ref23
  doi: 10.1109/TIT.2002.1003824
– ident: ref39
  doi: 10.1109/TIT.2006.880064
– ident: ref6
  doi: 10.1109/TIT.2014.2354403
– ident: ref35
  doi: 10.1109/JSTSP.2014.2309942
– ident: ref34
  doi: 10.1109/GLOCOMW.2010.5700169
– ident: ref33
  doi: 10.1109/GLOCOM.2010.5683700
– ident: ref4
  doi: 10.1109/TCOMM.2013.071813.120823
– ident: ref8
  doi: 10.1109/TWC.2011.091411.110249
– ident: ref36
  doi: 10.1109/TCOMM.2013.043013.130100
– ident: ref9
  doi: 10.1109/TVT.2014.2352713
– year: 2011
  ident: ref43
– ident: ref14
  doi: 10.1109/MWC.2011.5999761
– ident: ref41
  doi: 10.1109/TCOMM.2009.05.060656
– ident: ref16
  doi: 10.1109/VETECS.2011.5956185
– ident: ref24
  doi: 10.1109/TIT.2003.817429
– ident: ref10
  doi: 10.1109/TVT.2014.2319078
– ident: ref3
  doi: 10.1109/TCOMM.2014.2364040
– ident: ref5
  doi: 10.1109/LCOMM.2014.2331273
– ident: ref12
  doi: 10.1109/TVT.2014.2310773
– ident: ref19
  doi: 10.1109/TWC.2012.122212.120086
– ident: ref2
  doi: 10.1109/LCOMM.2014.2366463
– ident: ref13
  doi: 10.1109/TCOMM.2015.2442246
– year: 2007
  ident: ref38
  publication-title: Branch and bound methods
– ident: ref30
  doi: 10.1109/TCOMM.2012.031712.110215
– volume: 31
  start-page: 2420
  year: 2013
  ident: ref15
  article-title: Energy efficient transmissions in MIMO cognitive radio networks
  publication-title: IEEE J Sel Areas Commun
  doi: 10.1109/JSAC.2013.131127
– ident: ref28
  doi: 10.1109/TIT.2009.2025556
– ident: ref7
  doi: 10.1109/JSAC.2015.2435351
– ident: ref26
  doi: 10.1109/TIT.2007.909170
– start-page: 599
  year: 0
  ident: ref20
  article-title: Energy effciency optimization in MIMO broadcast channels with fairness constraints
  publication-title: Proc Int Workshop Signal Process Adv Wireless Commun
– ident: ref29
  doi: 10.1109/LCOMM.2012.042512.120253
– ident: ref32
  doi: 10.1109/TIT.2003.817421
– ident: ref1
  doi: 10.1109/TCOMM.2012.052412.100135
– ident: ref44
  doi: 10.1109/TIT.2005.846425
– ident: ref21
  doi: 10.1109/MSP.2007.361602
– ident: ref11
  doi: 10.1109/TVT.2014.2345195
– ident: ref18
  doi: 10.1186/1687-1499-2011-200
– ident: ref17
  doi: 10.1007/978-3-642-29479-2_2
– ident: ref40
  doi: 10.1017/CBO9780511804441
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SubjectTerms Algorithms
Antennas
Bandwidth
Channels
Energy efficiency (EE)
Energy management
green radio (GR)
Licenses
MIMO
multiple-input multiple-output (MIMO)
Optimization
Power consumption
Power demand
Resource allocation
Searching
spectral efficiency (SE)
Studies
Transmitting antennas
Title On the Energy Efficiency-Spectral Efficiency Tradeoff in MIMO-OFDMA Broadcast Channels
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