Optimization of Cooperative Beamforming for SC-FDMA Multi-User Multi-Relay Networks by Tractable D.C. Programming
This paper addresses the optimal cooperative beamforming design for multi-user multi-relay wireless networks in which the single-carrier frequency division multiple access (SC-FDMA) technique is employed at the terminals. The problem of interest is to find the beamforming weights across relays to ma...
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| Vydané v: | IEEE transactions on signal processing Ročník 61; číslo 2; s. 467 - 479 |
|---|---|
| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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New York, NY
IEEE
01.01.2013
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 1053-587X, 1941-0476 |
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| Abstract | This paper addresses the optimal cooperative beamforming design for multi-user multi-relay wireless networks in which the single-carrier frequency division multiple access (SC-FDMA) technique is employed at the terminals. The problem of interest is to find the beamforming weights across relays to maximize the minimum signal-to-interference-plus-noise ratio (SINR) among source users subject to individual power constraints at each relay. Such a beamforming design is shown to be a hard nonconvex optimization problem and therefore it is mathematically challenging to find the optimal solution. By exploring its partial convex structures, we recast the design problem as minimization of a d.c. (difference of two convex) objective function subject to convex constraints and develop an effective iterative algorithm of low complexity to solve it. Simulation results show that our optimal cooperative beamforming scheme realizes the inherent diversity order of the relay network and it performs significantly better than the equal-power beamforming weights. |
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| AbstractList | This paper addresses the optimal cooperative beamforming design for multi-user multi-relay wireless networks in which the single-carrier frequency division multiple access (SC-FDMA) technique is employed at the terminals. The problem of interest is to find the beamforming weights across relays to maximize the minimum signal-to-interference-plus-noise ratio (SINR) among source users subject to individual power constraints at each relay. Such a beamforming design is shown to be a hard nonconvex optimization problem and therefore it is mathematically challenging to find the optimal solution. By exploring its partial convex structures, we recast the design problem as minimization of a d.c. (difference of two convex) objective function subject to convex constraints and develop an effective iterative algorithm of low complexity to solve it. Simulation results show that our optimal cooperative beamforming scheme realizes the inherent diversity order of the relay network and it performs significantly better than the equal-power beamforming weights. |
| Author | Hoang Duong Tuan Ha Hoang Kha Nguyen, H. H. Pham, T. T. |
| Author_xml | – sequence: 1 surname: Ha Hoang Kha fullname: Ha Hoang Kha email: khahoang.ha@uts.edu.au organization: Fac. of Eng. & Inf. Technol., Univ. of Technol., Sydney, NSW, Australia – sequence: 2 surname: Hoang Duong Tuan fullname: Hoang Duong Tuan email: tuan.hoang@uts.edu.au organization: Fac. of Eng. & Inf. Technol., Univ. of Technol., Sydney, NSW, Australia – sequence: 3 givenname: H. H. surname: Nguyen fullname: Nguyen, H. H. email: ha.nguyen@usask.ca organization: Dept. of Electr. & Comput. Eng., Univ. of Saskatchewan, Saskatoon, SK, Canada – sequence: 4 givenname: T. T. surname: Pham fullname: Pham, T. T. email: tung.pham@usask.ca organization: Dept. of Electr. & Comput. Eng., Univ. of Saskatchewan, Saskatoon, SK, Canada |
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| Cites_doi | 10.1023/A:1008385006172 10.1109/MWC.2010.5450662 10.1109/TWC.2010.01.090199 10.1137/S1052623498342794 10.1109/PIMRC.2005.1651635 10.1080/10556789908805766 10.1109/MWC.2007.386607 10.1007/978-1-4615-4098-4 10.1109/MVT.2006.307304 10.1109/TSP.2008.929120 10.1109/TWC.2008.070250 10.1109/TSP.2006.879321 10.1109/TSP.2007.907821 10.1109/TSP.2009.2035986 10.1109/TIT.2009.2018175 10.1109/TCOMM.2010.091710.090319 10.1109/TWC.2009.080649 10.1109/JSAC.2007.070219 10.1109/TVT.2011.2104985 10.1023/B:JOGO.0000035016.74398.e6 10.1109/VETECS.2011.5956700 10.1109/9.839953 10.1109/LCOMM.2003.813815 10.1017/CBO9780511807213 10.1023/A:1023274721632 10.1109/ICSPCS.2010.5709705 10.1109/TSP.2008.2008254 10.1109/VETECF.2009.5378760 10.1049/iet-com.2010.0518 10.1109/TWC.2011.120911.110139 10.1109/LSP.2008.2010810 10.1109/TWC.2010.070710.081601 10.1109/TVT.2010.2060377 |
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| Keywords | Non convex programming Relay Relay network Noise reduction maximin optimization Wireless telecommunication Frequency division multiple access Iterative method Beam forming Optimization Optimal design frequency-domain equalization Cooperative beamforming Algorithm complexity d.c Convex function wireless relay networks programming Multiple access power allocation Single carrier Interference suppression Carrier frequency Simulation Optimal solution Integrated design Signal processing Wireless network Objective function SC-FDMA Signal to interference plus noise ratio |
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| References | ref35 ref13 ref34 ref12 ref37 ref15 ref36 ref14 ref31 ref33 tuy (ref21) 1997 ref32 ref10 konno (ref30) 1997 ref2 ref1 ref17 ref16 ref19 ref18 boyd (ref38) 2003 ref24 ref23 ref26 ref20 wu (ref8) 2011 ref22 ref28 ref27 ref29 ref7 zyren (ref11) 2007; white paper ref9 ref4 ref3 ref6 ref5 kay (ref25) 1993 |
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| SubjectTerms | Algorithms Applied sciences Array signal processing Beamforming Cooperative beamforming d.c. programming Detection, estimation, filtering, equalization, prediction Exact sciences and technology Frequency division multiple access Frequency domain analysis frequency-domain equalization Information, signal and communications theory Interference Mathematical analysis maximin optimization Networks OFDM Optimization power allocation Programming Relays SC-FDMA Signal and communications theory Signal to noise ratio Signal, noise Studies Telecommunications and information theory Terminals Transaction processing wireless relay networks |
| Title | Optimization of Cooperative Beamforming for SC-FDMA Multi-User Multi-Relay Networks by Tractable D.C. Programming |
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