||Performance Analysis for mmWave D2D Communications Underlaying Cellular Networks Using Multi-Hop Full-Duplex Relay
||Institute of Computer & Communication
Multi-hop relay assisted millimeter wave (mmWave) device-to-device (D2D) communication underlaying the cellular network has become an important transmission technology to offload the tremendous amount of mobile data traffic. However, in such a two-tier system, the accumulated inter-tier interference (ITI) to the cellular network should be well controlled. In this paper, we aim to properly allocate the transmission power for multi-hop relay transmissions so that the performance of the mmWave D2D communication can be optimized under the constraint of accumulated ITI. To achieve this goal, the end-to-end outage probability and capacity for multi-hop transmissions are firstly derived. Based on the analytical results, the multi-hop transmission power can be properly allocated. Note that in the considered analytical model, the composite exponential lognormal (CELN) environment is considered to capture the joint effects of Rayleigh fading, log-normal shadowing and path-loss. Also, thanks to the multi-hop full-duplex relaying, the self- and concurrent interference is taken into account. The exactness of the performance analysis as well as the effectiveness of power allocation are verified by the simulation results in terms of outage probability and capacity.
Chinese Abstract i
English Abstract ii
List of Tables vi
List of Figures viii
Glossary of Symbols ix
Glossary of Acronyms xi
1 Introduction 1
1.1 Problem Formulation and Solutions 1
1.2 Thesis Outline 4
2 Background and Literature Survey 5
2.1 Millimeter Wave Technology 5
2.2 Device-to-Device Communications 8
2.2.1 Power Control for D2D communications 9
2.3 Relay-Assisted Network 11
2.4 Sum of Log-normal Random Variable 14
2.4.1 Least Square Approximation Method 14
3 System Model 18
3.1 Derivation of Device i Outage Probability 21
3.1.1 Derivation of Main Signal Cdf 22
3.1.2 Derivation of SI and CI Pdf 23
3.2 Derivation of Device i Outage Probability Pdf 25
4 Numerical Results 26
4.1 Simulation Setup 26
4.1.1 Power Allocation Factors 26
4.1.2 Impact of Power Allocation Factors 28
4.1.3 Impact of CI 30
5 Conclusions and Future Works 36
Appendix A 42
Appendix B 44
 L. Zhao and J. Ding, "Least squares quadratic (lsq) approximation to lognormal sum distribution," 2006 IEEE 63rd Vehicular Technology Conference, vol. 6, pp. 2828-2832, 2006.
 D. Nandi and A. Maitra, "Study of rain attenuation effects for 5G Mm-wave cellular communication in tropical location," IET Microwaves, Antennas Propagation, vol. 12, pp. 1504-1507, March 2018.
 M.-D. Kim, J. Lianga, H.-K. Kwon, and J. Lee, "Path loss measurement at indoor commercial areas using 28GHz channel sounding system," International Conference on Advanced Communication Technology, pp. 535-538, July 2015.
 Cisco Visual Networking Index: Global Mobile Data Traffic Forecast Update, 2016-2021 White Paper," https://www.cisco.com/c/en/us/solutions/collateral/
service-provider/visual-networking-index-vni/mobile-white-paper-c11-520862. html/, accessed February 7, 2017.
 J. Qiao, X. S. Shen, J. W. Mark, Q. Shen, Y. He, and L. Lei, "Enabling device-to-device communications in millimeter-wave 5G cellular networks," IEEE Communications Magazine, vol. 53, no. 1, pp. 209-215, Jan. 2015.
 B. Ma, H. Shah-Mansouri, and V. W. S. Wong, "Full-duplex relaying for D2D communication in millimeter wave-based 5G networks," IEEE Trans. on Wireless
Communications, vol. 17, no. 7, pp. 4417-4431, July 2018.
 X. Ma, J. Liu, and H. Jiang, "Resource allocation for heterogeneous applications with device-to-device communication underlaying cellular networks," IEEE Journal on Selected Areas in Communications, vol. 34, pp. 15-26, Jan. 2016.
 P. Sun, K. G. Shin, H. Zhang, and L. He, "Transmit power control for D2D underlaid cellular networks based on statistical features," IEEE Trans. on Vehicular Technology, vol. 66, no. 5, pp. 4110-4119, May 2017.
 S. Dang, G. Chen, and J. P. Coon, "Outage performance analysis of full-duplex relay-assisted device-to-device systems in uplink cellular networks," IEEE Trans. on Vehicular Technology, vol. 66, pp. 4506-4510, May 2017.
 N. Nguyen, K. W. Choi, L. Song, and Z. Han, "ROOMMATEs: an unsupervised indoor peer discovery approach for LTE D2D communications," IEEE Trans. on Vehicular Technology, pp. 5069-5083, June 2018.
 J. Park, S.-L. Kim, and J. Zander, "Tractable resource management with uplink decoupled millimeter-wave overlay in ultra-dense cellular networks," IEEE Trans. on Wireless Communications, vol. 15, pp. 4362-4379, June 2016.
 W. Chang and J.-C. Teng, "Energy efficient relay matching with bottleneck effect elimination power adjusting for full-duplex relay assisted D2D networks using mmWave technology," IEEE Access, vol. 6, pp. 3300-3309, Jan. 2018.
 S. Biswas, S. Vuppala, J. Xue, and T. Ratnarajah, "An analysis on relay assisted millimeter wave networks," in IEEE International Conference on Communications (ICC), May 2016, pp. 1-6.
 B. Xie, Z. Zhang, and R. Q. Hu, "Performance study on relay-assisted millimeter wave cellular networks," in IEEE 83rd Vehicular Technology Conference, May 2016, pp. 1-5.
 Y. Niu, L. Su, C. Gao, Y. Li, D. Jin, and Z. Han, "Exploiting device-to-device communications to enhance spatial reuse for popular content downloading in directional mmWave small cells," IEEE Trans. on Vehicular Technology, vol. 65, no. 7, pp. 5538-5550, July 2016.
 Z. He, S. Mao, S. Kompella, and A. Swami, "On link scheduling in dual-hop 60-GHz mmWave networks," IEEE Trans. on Vehicular Technology, vol. 66, no. 12, pp. 11 180-11 192, Dec. 2017.
 X. Qin, H. Zeng, X. Yuan, B. Jalaian, Y. T. Hou, W. Lou, and S. F. Midki , "Impact of full duplex scheduling on end-to-end throughput in multi-hop wireless networks," IEEE Trans. on Mobile Computing, vol. 16, no. 1, pp. 158-171, Jan. 2017.
 W. Chang, C.-W. Wu, and Y.-X. Lin, "Efficient time-slot adjustment and packet scheduling algorithm for full-duplex multi-hop relay-assisted mmWave networks," IEEE Access, vol. 6, pp. 39 273-39 286, July 2018.
 Z. Pi and F. Khan, "An introduction to millimeter-wave mobile broadband systems," IEEE Communications Magazine, vol. 49, pp. 101-107, June 2011.
 "An introduction to millimeter-wave mobile broadband systems," IEEE Communications Magazine, vol. 49, no. 6, pp. 101-107, June 2011.
 P. Phunchongharn, E. Hossain, and D. I. Kim, "Resource allocation for device-to-device communications underlaying lte-advanced networks," IEEE Wireless Communications, vol. 20, no. 4, pp. 91-100, Aug. 2013.
 N. L. . X. Lin, J. G. Andrews, and R. W. Heath, "Power Control for D2D Underlaid Cellular Networks: Modeling, Algorithms, and Analysis," IEEE Journal on Selected Areas in Communications, vol. 33, pp. 1-13, January 2015.
 G. Zhang, K. Yang, P. Liu, and J. Wei, "Power allocation for full-duplex relaying based d2d communication underlaying cellular networks," IEEE Transactions on
Vehicular Technology, vol. 64, pp. 4911-4916, October 2015.
 M. N. Tehrani, M. Uysal, and H. Yanikomeroglu, Device-to-device communication in 5g cellular networks: challenges, solutions, and future directions," IEEE
Communications Magazine, vol. 52, no. 5, pp. 86-92, May 2014.
 D. Korpi, M. Heino, C. Icheln, K. Haneda, and M. Valkama, "Compact Inband Full-Duplex Relays With Beyond 100 dB Self-Interference Suppression- Enabling Techniques and Field Measurements," IEEE Transactions on Antennas and Propagation, vol. 65, pp. 960-965, February 2017.
 M. Oiwa, C. Tosa, and S. Sugiura, "Theoretical analysis of hybrid buffer-aided cooperative protocol based on max-max and max-link relay selections," IEEE Transactions on Vehicular Technology, vol. 65, no. 11, pp. 9236-9246, Nov. 2016.
 S. W. . R. Atat, N. Mastronarde, and L. Liu, "Improving the coverage and spectral efficiency of millimeter-wave cellular networks using device-to-device relays," IEEE Transactions on Communications, vol. 66, pp. 2251-2265, May 2018.
 N. Wei, X. Lin, and Z. Zhang, "Optimal relay probing in millimeter-wave cellular systems with device-to-device relaying," IEEE Transactions on Vehicular Technology, vol. 65, pp. 10 218-10 222, December 2016.
 I. Hwang, B. Song, and S. S. Soliman, "A holistic view on hyper-dense heterogeneous and small cell networks," IEEE Communications Magazine, vol. 51, pp. 20-27, June 2013.
 T. D. Hoang, L. B. Le, and T. Le-Ngoc, "Joint mode selection and resource allocation for relay-based d2d communications," IEEE Communications Letters, vol. 21,
pp. 398-401, February 2017.
 S. Dang, G. Chen, and J. P. Coon, "Outage performance analysis of full-duplex relay-assisted device-to-device systems in uplink cellular networks," IEEE Transactions on Vehicular Technology, vol. 66, pp. 4506-4510, May 2017.
 N. C. Beaulieu and Q. Xie, "An optimal lognormal approximation to lognormal sum distributions," IEEE Transactions on Vehicular Technology, vol. 53, pp. 479-489, March 2004.
 J. Zhang and J. Andrews, "Distributed antenna systems with randomness," IEEE Trans. on Wireless Communications, vol. 7, no. 9, pp. 3636-3646, Sept. 2008.
 X. C. Lin, C. Lin, X. S. Shen, and J. W. Mark, "REX: a randomized exclusive region based scheduling scheme for mmWave WPANs with directional antenna," IEEE Trans. on Wireless Communications, vol. 9, no. 1, pp. 113-121, Jan. 2010.
 M. Salehi, A. Mohammadi, and M. Haenggi, "Analysis of D2D underlaid cellular networks: SIR meta distribution and mean local delay," IEEE Trans. on Communications, vol. 65, no. 7, pp. 2904-2916, July 2017.
 C.-W. Chang and C.-Y. Chu, "A high capacity cell architecture based on distributed antenna system and frequency allocation scheme," IEICE Trans. on Communications, vol. E94-B, no. 9, pp. 2690-2695, Sept. 2011.
 Z. Wei, X. Zhu, S. Sun, Y. Huang, A. Al-Tahmeesschi, and Y. Jiang, "Energy efficiency of millimeter-wave full-duplex relaying systems: Challenges and solutions," IEEE Access, vol. 4, pp. 4848-4860, Sept. 2016.
 S. C. Schwartz and Y. S. Yeh, "On the distribution function and moments of power sums with lognormal components," Bell Syst. Tech. J., vol. 61, no. 7, p.
 P. Cardieri and T. S. Rappaport, "Beam-searching and transmission scheduling in millimeter wave communications," in IEEE 51st Vehicular Technology Conference Proceedings, May 2000, pp. 1823-1827.
 M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th ed. New York: Dover Publications, 1970.
 N. H. Evans, M. and B. Peacock, Statistical Distributions. Hoboken, NJ: Wiley-Interscience, 2000.