Resource Allocation in OFDM Based Wireless Relay Networks ...

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2.5 Simulation Results Rate (bits/s/Hz) 4 3.5 3 2.5 2 1.5 Dual Solution (D(ν,λ)/K) JntSol SubOpt JSP−(with matching) EP−ECarr EP−RndCarr 1 0.5 0 0 5 10 15 20 SNR (dB) Figure 2.5: Throughput versus SNR for M = 10 and N = 5. almost constant, which shows the robustness of the proposed sub-optimal algorithm. Moreover, the JntSol also performs much better than JSP-(with matching) due to the same reasons. To make the comparison complete, we show the throughput performance versus the number of relays in Fig. 2.7. The number of users is taken as M = 6 and SNR is set as 10 dB. The key observation is that the gap between JntSol and JSP-(with matching) increases when the number of relay becomes large. This is due to the fact that in JSP-(with matching) a user can use at most one RS so the difference from the proposed JntSol becomes large. Other observations are similar to those in Fig. 2.7. It is then of interest to check the performance of the proposed method when simultaneously varying the number of both users and relays. The curves for N = 1, 2, 3, 4 relays versus M are shown in Fig. 2.8 for SNR = 10 dB. We numerically draw the conclusion that in order to increase the data throughput, both the number of the users and the number of relays should be increased simultaneously. It is 39
2.6 Summary 2.6 2.4 2.2 2 Rate (bits/s/Hz) 1.8 1.6 1.4 1.2 1 0.8 Dual Solution (D(ν,λ)/K) JntSol SubOpt JSP−(with matching) EP−ECarr EP−RndCarr 2 4 6 8 10 12 14 16 18 20 M Figure 2.6: Throughput versus the number of users for N = 5. also interesting to notice the similarity with the traditional MIMO system where the throughput could only be improved when the numbers of the antennas at both transceivers are increased. 2.6 Summary In this chapter, we studied the resource allocation problem in relay aided uplink multi-user multi-carrier system. First, considering the multi-user single relay network, the optimization is formulated under a unified framework where the power allocation over the sub-carriers, the sub-carrier assignment to the users, and the sub-carrier pairing at the relay nodes are jointly optimized. The sum throughput of all users is maximized subject to the limited available power budgets of the user and the relay nodes. Exploiting dual techniques, the joint problem is decomposed into independent sub-problems such that • For each valid sub-carrier pair, the power allocation is obtained from the KKT 40
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Resource Allocation in OFDM Based W
Page 3 and 4: 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: 2.5 Simulation Results 0.9 0.85 0.8
Page 57 and 58: 2.6 Summary 2.4 2.2 2 1.8 N=4 N=3 N
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.
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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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