Resource Allocation in OFDM Based Wireless Relay Networks ...

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List of Publications 1. c⃝2012 IEEE. Reprinted, with permission, from G. Sidhu, F. Gao, L. Fan, and A. Nallanathan, “A Joint Resource Allocation Scheme for Relay Aided Uplink Multi-User OFDMA System,” IEEE International Global Communication Conference (GLOBECOM), Houston, USA, 2011. 2. c⃝2011 IEEE. Reprinted, with permission, from G. Sidhu, F. Gao, W. Chen, and A. Nallanathan, “A Joint Resource Allocation Scheme for Multiuser Two-Way Relay Networks,” IEEE Transactions on Communications (TOC) 2011. 3. c⃝2012 IEEE. Reprinted, with permission, from G. Sidhu, F. Gao, and A. Nallanathan, “A General Framework for Optimizing AF Based Multi-Relay OFDM Systems,” IEEE International Conference on Communications (ICC), 2012, Ottawa, Canada. 4. c⃝2012 IEEE. Reprinted, with permission, from G. Sidhu, F. Gao, and X. Liao, “Optimizing Dual-Hop Systems under Orthogonal Transmission and Relay Selection Schemes,” IEEE International Conference on Communications in China, 2012, China. 5. c⃝2010 IEEE. Reprinted, with permission, from G. Sidhu, X. Liao, and F. Gao, “Lifetime Maximization in Multihop Mixed AF-DF Relay Networks,” IEEE International Conference on Wireless Communication and Signal Processing (WCSP), October 2010. 109
Appendix A Derivations of Closed-Form Expression for Power Allocation at the Relays The Lagrangian ¯J associated with (4.37) is ( ) ¯J = 1 N∑ N + 1 log a n,k p k b n,j q n,j 2 1 + − λp k − a n,k p k + b n,j q n,j n=1 N∑ ν n q n,j + α k p k + n=1 N∑ β n q n,j , n=1 (A.1) where α k and β n are the Lagrange multipliers associated with the power constraints in (4.37). Taking the derivative of ¯J w.r.t. q n,j and setting ∂ ¯J ∂q n,j = 0, we get β n = ν n − From slackness condition, we obtain ⎛ q n,j ⎝ν n − |a n,k | 2 p 2 k b n,j (a n,k p k +b n,j q n,j ) 2 (N + 1)(1 + ∑ N n=1 |a n,k | 2 p 2 k b n,j (a n,k p k +b n,j q n,j ) 2 (N + 1)(1 + ∑ N n=1 a n,k p k b n,j q n,j a n,k p k +b n,j q n,j ) . ⎞ a n,k p k b n,j q n,j a n,k p k +b n,j q n,j ) . ⎠ = 0. Now, the KKT condition β n ≥ 0 along with (A.3) implies that for q n,j > 0 ν n = |a n,k | 2 p 2 k b n,j (a n,k p k +b n,j q n,j ) 2 (N + 1)(1 + ∑ N n=1 a n,k p k b n,j q n,j a n,k p k +b n,j q n,j ) . and q n,j = 0 otherwise. Solving (A.4) for q n,j , we obtain expression in (4.38). (A.2) (A.3) (A.4) 110
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Resource Allocation in OFDM Based W
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Dedications: To my family
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Acknowledgment I am greatly thankfu
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Contents 2.3.3 Proposed Low-Complex
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Abstract The combination of relay t
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List of Tables 3.1 Complexity compa
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List of Figures 4.1 System model fo
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List of Acronyms IEEE MU RS AWGN OW
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1.1 Overview of Relay Networks wire
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1.2 Overview of OFDM Figure 1.2: Th
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1.3 Basics of the Optimization Theo
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1.3 Basics of the Optimization Theo
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1.4 Resource Allocation Problem is
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1.5 Contribution and Organization o
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1.5 Contribution and Organization o
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2.1 Introduction allocated to a nod
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2.1 Introduction The main contribut
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2.2 System Model where h m,k denote
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2.3 Resource Allocation Schemes opt
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2.3 Resource Allocation Schemes ( )
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2.3 Resource Allocation Schemes and
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2.3 Resource Allocation Schemes tha
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2.3 Resource Allocation Schemes 2.3
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2.4 Generalization to Multiple Rela
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2.4 Generalization to Multiple Rela
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2.5 Simulation Results • OptSol/J
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2.5 Simulation Results 0.9 0.85 0.8
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2.6 Summary 2.6 2.4 2.2 2 Rate (bit
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2.6 Summary 2.4 2.2 2 1.8 N=4 N=3 N
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3.1 Introduction A new technology c
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3.1 Introduction • Broadcast Phas
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3.2 System Model MU MU 3 8 A 1 2 7
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3.4 Joint Resource Allocation Schem
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3.4 Joint Resource Allocation Schem
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3.5 Step-Wise Low-Complexity Resour
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3.6 Simulation Results and SNR B m,
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Page 111 and 112: Chapter 6 Resource Allocation in Co
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Page 115 and 116: Bibliography [12] A. Peled, and A.
Page 117 and 118: Bibliography [36] Z. Luo and S. Zha
Page 119 and 120: Bibliography [61] D. H. N. Nguyen,
Page 121 and 122: Bibliography [84] A. Goldsmith, S.
Page 123: Bibliography [105] Y. Li, W. Wang,
Page 127: B. Derivations of the Optimal Power
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