Resource Allocation in OFDM Based Wireless Relay Networks ...

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2.6 Summary 2.4 2.2 2 1.8 Rate (bits/s/Hz) 1.6 1.4 1.2 Dual Solution (D(ν,λ)/K) 1 JntSol SubOpt 0.8 JSP−(with matching) 0.6 EP−ECarr EP−RndCarr 0.4 2 3 4 5 6 7 8 9 10 N Figure 2.7: Throughput versus the number of relays for M = 6. conditions. • For a sub-carrier pair, the optimal throughput is obtained from the optimal power allocation. A sub-carrier pair is assigned to a user which has the maximum optimal throughput among all other candidates. • A profit matrix is obtained for the assigned sub-carrier pairs. The optimal pairing is then obtained from the Hungarian method. The dual problem is solved from the sub-gradient algorithm and a near optimal solution is obtained. In order to reduce the computational complexity, we also presented a suboptimal algorithm which separates the joint optimization into three steps such that: 1) The sub-carrier assignment is obtained under equal power distribution at each node. 2) The allocated sub-carriers are then paired in such a way that the sub-carrier with highest channel gain over the first hop is paired with the sub-carrier of best gain at the second hop. 3) For the obtained sub-carrier allocation and the pairing, the optimal power is obtained from the waterfilling. The suboptimal 41
2.6 Summary 2.4 2.2 2 1.8 N=4 N=3 N=2 N=1 rate (bits/s/Hz) 1.6 1.4 1.2 1 0.8 0.6 0.4 1 2 3 4 5 6 7 8 9 10 M Figure 2.8: Throughput versus the number of users and the number of relays for JntSol. algorithm demonstrated its comparable performance via numerical examples. The developed algorithms are also extended to the multiple relay scenario where each relay imposes a separate power constraint. An OFDMA transmission is adopted at the relay nodes such that each sub-carrier pair is assigned to a unique user-relay pair. As expected, increasing the relay nodes enhances the system performance. 42
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Resource Allocation in OFDM Based W
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Dedications: To my family
Page 5 and 6: Acknowledgment I am greatly thankfu
Page 7 and 8: Contents 2.3.3 Proposed Low-Complex
Page 9 and 10: Abstract The combination of relay t
Page 11 and 12: List of Tables 3.1 Complexity compa
Page 13 and 14: List of Figures 4.1 System model fo
Page 15 and 16: List of Acronyms IEEE MU RS AWGN OW
Page 17 and 18: 1.1 Overview of Relay Networks wire
Page 19 and 20: 1.2 Overview of OFDM Figure 1.2: Th
Page 21 and 22: 1.3 Basics of the Optimization Theo
Page 23 and 24: 1.3 Basics of the Optimization Theo
Page 25 and 26: 1.4 Resource Allocation Problem is
Page 27 and 28: 1.5 Contribution and Organization o
Page 29 and 30: 1.5 Contribution and Organization o
Page 31 and 32: 2.1 Introduction allocated to a nod
Page 33 and 34: 2.1 Introduction The main contribut
Page 35 and 36: 2.2 System Model where h m,k denote
Page 37 and 38: 2.3 Resource Allocation Schemes opt
Page 39 and 40: 2.3 Resource Allocation Schemes ( )
Page 41 and 42: 2.3 Resource Allocation Schemes and
Page 43 and 44: 2.3 Resource Allocation Schemes tha
Page 45 and 46: 2.3 Resource Allocation Schemes 2.3
Page 47 and 48: 2.4 Generalization to Multiple Rela
Page 49 and 50: 2.4 Generalization to Multiple Rela
Page 51 and 52: 2.5 Simulation Results • OptSol/J
Page 53 and 54: 2.5 Simulation Results 0.9 0.85 0.8
Page 55: 2.6 Summary 2.6 2.4 2.2 2 Rate (bit
Page 59 and 60: 3.1 Introduction A new technology c
Page 61 and 62: 3.1 Introduction • Broadcast Phas
Page 63 and 64: 3.2 System Model MU MU 3 8 A 1 2 7
Page 65 and 66: 3.4 Joint Resource Allocation Schem
Page 67 and 68: 3.4 Joint Resource Allocation Schem
Page 69 and 70: 3.5 Step-Wise Low-Complexity Resour
Page 71 and 72: 3.6 Simulation Results and SNR B m,
Page 73 and 74: 3.6 Simulation Results 3 2.5 2 Uppe
Page 75 and 76: 3.7 Summary 1.8 1.6 1.4 JntOpt SubO
Page 77 and 78: 4.1 Introduction • Non-orthogonal
Page 79 and 80: 4.3 Cooperative Non-Orthogonal Tran
Page 87 and 88: 4.4 Optimization under Orthogonal T
Page 89 and 90: 4.4 Optimization under Orthogonal T
Page 91 and 92: 4.5 Simulations Then, the over all
Page 93 and 94: 4.5 Simulations 40 30 20 Sum−ρ S
Page 95 and 96: 4.6 Summary 0.9 0.8 0.7 JPSC Pow EP
Page 97 and 98: Chapter 5 Lifetime Maximization in
Page 99 and 100: 5.1 Introduction Figure 5.2: Linear
Page 101 and 102: 5.2 System Model antenna that canno
Page 103 and 104: 5.4 Lifetime Maximization Scheme 5.
Page 105 and 106: 5.4 Lifetime Maximization Scheme wh
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5.5 Simulation Results 150 OPT−SO
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5.6 Summary Lifetime (S) 150 100 50
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Chapter 6 Resource Allocation in Co
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7. Conclusions were considered for
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Bibliography [12] A. Peled, and A.
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Bibliography [36] Z. Luo and S. Zha
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Bibliography [61] D. H. N. Nguyen,
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Bibliography [84] A. Goldsmith, S.
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Bibliography [105] Y. Li, W. Wang,
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Appendix A Derivations of Closed-Fo
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B. Derivations of the Optimal Power
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Resource Allocation in OFDM Based Wireless Relay Networks ...

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