Skip to main content
Top
Published in: Wireless Networks 4/2018

27-10-2016

Power allocation in small cell networks with full-duplex self-backhauls and massive MIMO

Authors: Lei Chen, F. Richard Yu, Hong Ji, Bo Rong, Victor C. M. Leung

Published in: Wireless Networks | Issue 4/2018

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

With the dense deployment of small cell networks, low-cost backhaul schemes for small cell base stations (SBSs) have attracted great attentions. Self-backhaul using cellular communication technology is considered as a promising solution. Although some excellent works have been done on self-backhaul in small cell networks, most of them do not consider the recent advances of full-duplex (FD) and massive multiple-input and multiple-output (MIMO) technologies. In this paper, we propose a self-backhaul scheme for small cell networks by combining FD and massive MIMO technologies. In our proposed scheme, the macro base station (MBS) is equipped with massive MIMO antennas, and the SBSs have the FD communication ability. By treating the SBSs as special macro users, we can achieve the simultaneous transmissions of the access link of users and the backhaul link of SBSs in the same frequency. Furthermore, considering the existence of inter-tier and intra-tier interference, we formulate the power allocation problem of the MBS and SBSs as an optimization problem. Because the formulated power allocation problem is a non-convex problem, we transform the original problem into a difference of convex program by successive convex approximation method and variable transformation, and then solve it using a constrained concave convex procedure based iterative algorithm. Finally, extensive simulations are conducted with different system configurations to verify the effectiveness of the proposed scheme.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Footnotes
1
To simplify the network model, single-antenna SBS is assumed in this paper and the works of this paper can be expanded to small cell networks with multi-antenna SBS by involving multi-antenna channel model.
 
2
The proposed FD self-backhaul scheme with massive MIMO also can be used in FDD system based on some channel estimation method [26, 27].
 
Literature
1.
go back to reference Alcatel-Lucent. (2011). The declining profitability trend of mobile data: What can be done? Assessing network costs and planning for sustainable revenue growth. Market Analysis, Tech. Rep. Alcatel-Lucent. (2011). The declining profitability trend of mobile data: What can be done? Assessing network costs and planning for sustainable revenue growth. Market Analysis, Tech. Rep.
2.
go back to reference Fortes, S., Aguilar-Garcia, A., Barco, R., Barba, F., Fernandez-luque, J., & Fernandez-Duran, A. (2015). Management architecture for location-aware self-organizing LTE/LTE-a small cell networks. IEEE Communications Magazine, 53(1), 294–302.CrossRef Fortes, S., Aguilar-Garcia, A., Barco, R., Barba, F., Fernandez-luque, J., & Fernandez-Duran, A. (2015). Management architecture for location-aware self-organizing LTE/LTE-a small cell networks. IEEE Communications Magazine, 53(1), 294–302.CrossRef
3.
go back to reference Hoadley, J., & Maveddat, P. (2012). Enabling small cell deployment with HetNet. IEEE Wireless Communiations, 19(2), 4–5.CrossRef Hoadley, J., & Maveddat, P. (2012). Enabling small cell deployment with HetNet. IEEE Wireless Communiations, 19(2), 4–5.CrossRef
4.
go back to reference Xu, J., Wang, J., Zhu, Y., Yang, Y., Zheng, X., Wang, S., et al. (2014). Cooperative distributed optimization for the hyper-dense small cell deployment. IEEE Communications Magazine, 52(5), 61–67.CrossRef Xu, J., Wang, J., Zhu, Y., Yang, Y., Zheng, X., Wang, S., et al. (2014). Cooperative distributed optimization for the hyper-dense small cell deployment. IEEE Communications Magazine, 52(5), 61–67.CrossRef
5.
go back to reference Ranaweera, C., Resende, M., Reichmann, K., Iannone, P., Henry, P., Kim, B.-J., et al. (2013). Design and optimization of fiber optic small-cell backhaul based on an existing fiber-to-the-node residential access network. IEEE Communications Magazine, 51(9), 62–69.CrossRef Ranaweera, C., Resende, M., Reichmann, K., Iannone, P., Henry, P., Kim, B.-J., et al. (2013). Design and optimization of fiber optic small-cell backhaul based on an existing fiber-to-the-node residential access network. IEEE Communications Magazine, 51(9), 62–69.CrossRef
6.
go back to reference Ranaweera, C., Iannone, P., Oikonomou, K., & Reichmann, K. (2013). Design of cost-optimal passive optical networks for small cell backhaul using installed fibers. IEEE/OSA Journal of Optical Communications and Networking, 5(10), A230–A239.CrossRef Ranaweera, C., Iannone, P., Oikonomou, K., & Reichmann, K. (2013). Design of cost-optimal passive optical networks for small cell backhaul using installed fibers. IEEE/OSA Journal of Optical Communications and Networking, 5(10), A230–A239.CrossRef
7.
go back to reference Hur, S., Kim, T., Love, D., Krogmeier, J., Thomas, T., & Ghosh, A. (2013). Millimeter wave beamforming for wireless backhaul and access in small cell networks. IEEE Transactions on Communications, 61(10), 4391–4403.CrossRef Hur, S., Kim, T., Love, D., Krogmeier, J., Thomas, T., & Ghosh, A. (2013). Millimeter wave beamforming for wireless backhaul and access in small cell networks. IEEE Transactions on Communications, 61(10), 4391–4403.CrossRef
8.
go back to reference Taori, R., & Sridharan, A. (2015). Point-to-multipoint in-band mmwave backhaul for 5G networks. IEEE Communications Magazine, 53(1), 195–201.CrossRef Taori, R., & Sridharan, A. (2015). Point-to-multipoint in-band mmwave backhaul for 5G networks. IEEE Communications Magazine, 53(1), 195–201.CrossRef
9.
go back to reference Mahloo, M., Monti, P., Chen, J., & Wosinska, L. (2014). Cost modeling of backhaul for mobile networks. In ICC Workshops, pp. 397–402. Mahloo, M., Monti, P., Chen, J., & Wosinska, L. (2014). Cost modeling of backhaul for mobile networks. In ICC Workshops, pp. 397–402.
10.
go back to reference Sabharwal, A., Schniter, P., Guo, D., Bliss, D. W., Rangarajan, S., & Wichman, R. (2014). In-band full-duplex wireless: Challenges and opportunities. IEEE Journal on Selected Areas in Communications, 32(9), 1637–1652.CrossRef Sabharwal, A., Schniter, P., Guo, D., Bliss, D. W., Rangarajan, S., & Wichman, R. (2014). In-band full-duplex wireless: Challenges and opportunities. IEEE Journal on Selected Areas in Communications, 32(9), 1637–1652.CrossRef
11.
go back to reference Bladsjo, D., Hogan, M., & Ruffini, S. (2013). Synchronization aspects in LTE small cells. IEEE Communications Magazine, 51(9), 70–77.CrossRef Bladsjo, D., Hogan, M., & Ruffini, S. (2013). Synchronization aspects in LTE small cells. IEEE Communications Magazine, 51(9), 70–77.CrossRef
12.
go back to reference Hui, D., & Axnas, J. (2013). Joint routing and resource allocation for wireless self-backhaul in an indoor ultra-dense network. In Proceedings of IEEE PIMRC, pp. 3083–3088. Hui, D., & Axnas, J. (2013). Joint routing and resource allocation for wireless self-backhaul in an indoor ultra-dense network. In Proceedings of IEEE PIMRC, pp. 3083–3088.
13.
go back to reference Erwu, L., Shan, J., Gang, S., & Luoning, G. (2006). Fair scheduling in wireless multi-hop self-backhaul networks. In Proceedings of AICT-ICIW, pp. 96–96. Erwu, L., Shan, J., Gang, S., & Luoning, G. (2006). Fair scheduling in wireless multi-hop self-backhaul networks. In Proceedings of AICT-ICIW, pp. 96–96.
14.
go back to reference Magee, A. (2010). Synchronization in next-generation mobile backhaul networks. IEEE Communications Magazine, 48(10), 110–116.CrossRef Magee, A. (2010). Synchronization in next-generation mobile backhaul networks. IEEE Communications Magazine, 48(10), 110–116.CrossRef
15.
go back to reference Liu, G., Yu, F., Ji, H., Leung, V., & Li, X. (2015). In-band full-duplex relaying: A survey, research issues and challenges. IEEE Communications Surveys & Tutorials, 17(2), 500–524.CrossRef Liu, G., Yu, F., Ji, H., Leung, V., & Li, X. (2015). In-band full-duplex relaying: A survey, research issues and challenges. IEEE Communications Surveys & Tutorials, 17(2), 500–524.CrossRef
16.
go back to reference Suraweera, H. A., Krikidis, I., Zheng, G., Yuen, C., & Smith, P. J. (2014). Low-complexity end-to-end performance optimization in MIMO full-duplex relay systems. IEEE Transactions on Wireless Communications, 13(2), 913–927.CrossRef Suraweera, H. A., Krikidis, I., Zheng, G., Yuen, C., & Smith, P. J. (2014). Low-complexity end-to-end performance optimization in MIMO full-duplex relay systems. IEEE Transactions on Wireless Communications, 13(2), 913–927.CrossRef
17.
go back to reference Krikidis, I., Suraweera, H. A., Smith, P. J., & Yuen, C. (2012). Full-duplex relay selection for amplify-and-forward cooperative networks. IEEE Transactions on Wireless Communications, 11(12), 4381–4393.CrossRef Krikidis, I., Suraweera, H. A., Smith, P. J., & Yuen, C. (2012). Full-duplex relay selection for amplify-and-forward cooperative networks. IEEE Transactions on Wireless Communications, 11(12), 4381–4393.CrossRef
18.
go back to reference Pitaval, R. A., Tirkkonen, O., Wichman, R., Pajukoski, K., Lahetkangas, E., & Tiirola, E. (2015). Full-duplex self-backhauling for small-cell 5G networks. IEEE Wireless Communications, 22(5), 83–89.CrossRef Pitaval, R. A., Tirkkonen, O., Wichman, R., Pajukoski, K., Lahetkangas, E., & Tiirola, E. (2015). Full-duplex self-backhauling for small-cell 5G networks. IEEE Wireless Communications, 22(5), 83–89.CrossRef
19.
go back to reference Lu, L., Li, G., Swindlehurst, A., Ashikhmin, A., & Zhang, R. (2014). An overview of massive mimo: Benefits and challenges. IEEE Journal of Selected Areas in Communications, 8(5), 742–758. Lu, L., Li, G., Swindlehurst, A., Ashikhmin, A., & Zhang, R. (2014). An overview of massive mimo: Benefits and challenges. IEEE Journal of Selected Areas in Communications, 8(5), 742–758.
20.
go back to reference Hoydis, J., Ten Brink, S., & Debbah, M. (2013). Massive MIMO in the UL/DL of cellular networks: How many antennas do we need? IEEE Journal of Selected Areas in Communications, 31(2), 160–171.CrossRef Hoydis, J., Ten Brink, S., & Debbah, M. (2013). Massive MIMO in the UL/DL of cellular networks: How many antennas do we need? IEEE Journal of Selected Areas in Communications, 31(2), 160–171.CrossRef
21.
go back to reference Hoydis, J., Hosseini, K., ten Brink, S., & Debbah, M. (2013). Making smart use of excess antennas: Massive MIMO, small cells, and TDD. Bell Labs Technical Journal, 18(2), 5–21.CrossRef Hoydis, J., Hosseini, K., ten Brink, S., & Debbah, M. (2013). Making smart use of excess antennas: Massive MIMO, small cells, and TDD. Bell Labs Technical Journal, 18(2), 5–21.CrossRef
22.
go back to reference Qian, L. P., Zhang, Y. J., Wu, Y., & Chen, J. (2013). Joint base station association and power control via benders’ decomposition. IEEE Transactions on Wireless Communications, 12(4), 1651–1665.CrossRef Qian, L. P., Zhang, Y. J., Wu, Y., & Chen, J. (2013). Joint base station association and power control via benders’ decomposition. IEEE Transactions on Wireless Communications, 12(4), 1651–1665.CrossRef
23.
go back to reference Lakshminarayana, S., Assaad, M., & Debbah, M. (2015). Transmit power minimization in small cell networks under time average QoS constraints. IEEE Journal of Selected Areas in Communications, 33(10), 2087–2103.CrossRef Lakshminarayana, S., Assaad, M., & Debbah, M. (2015). Transmit power minimization in small cell networks under time average QoS constraints. IEEE Journal of Selected Areas in Communications, 33(10), 2087–2103.CrossRef
24.
go back to reference Soh, Y. S., Quek, T., Kountouris, M., & Shin, H. (2013). Energy efficient heterogeneous cellular networks. IEEE Journal of Selected Areas in Communications, 31(5), 840–850.CrossRef Soh, Y. S., Quek, T., Kountouris, M., & Shin, H. (2013). Energy efficient heterogeneous cellular networks. IEEE Journal of Selected Areas in Communications, 31(5), 840–850.CrossRef
25.
go back to reference Rusek, F., Persson, D., Lau, B. K., Larsson, E., Marzetta, T., Edfors, O., et al. (2013). Scaling up MIMO: Opportunities and challenges with very large arrays. IEEE Signal Processing Magazine, 30(1), 40–60.CrossRef Rusek, F., Persson, D., Lau, B. K., Larsson, E., Marzetta, T., Edfors, O., et al. (2013). Scaling up MIMO: Opportunities and challenges with very large arrays. IEEE Signal Processing Magazine, 30(1), 40–60.CrossRef
26.
go back to reference Jiang, Z., Molisch, A., Caire, G., & Niu, Z. (2015). Achievable rates of FDD massive MIMO systems with spatial channel correlation. IEEE Transactions on Wireless Communications, 14(5), 2868–2882.CrossRef Jiang, Z., Molisch, A., Caire, G., & Niu, Z. (2015). Achievable rates of FDD massive MIMO systems with spatial channel correlation. IEEE Transactions on Wireless Communications, 14(5), 2868–2882.CrossRef
27.
go back to reference Gao, Z., Dai, L., Dai, W., & Wang, Z. (2015). Block compressive channel estimation and feedback for FDD massive MIMO. In Proceedings of IEEE INFOCOM WKSHPS 2015, pp. 49–50. Gao, Z., Dai, L., Dai, W., & Wang, Z. (2015). Block compressive channel estimation and feedback for FDD massive MIMO. In Proceedings of IEEE INFOCOM WKSHPS 2015, pp. 49–50.
28.
go back to reference Yoo, T., & Goldsmith, A. (2006). On the optimality of multiantenna broadcast scheduling using zero-forcing beamforming. IEEE Journal of Selected Areas in Communications, 24(3), 528–541.CrossRef Yoo, T., & Goldsmith, A. (2006). On the optimality of multiantenna broadcast scheduling using zero-forcing beamforming. IEEE Journal of Selected Areas in Communications, 24(3), 528–541.CrossRef
29.
go back to reference Riihonen, T., Werner, S., & Wichman, R. (2011). Mitigation of loopback self-interference in full-duplex MIMO relays. IEEE Transactions on Signal Processing, 59(12), 5983–5993.MathSciNetCrossRef Riihonen, T., Werner, S., & Wichman, R. (2011). Mitigation of loopback self-interference in full-duplex MIMO relays. IEEE Transactions on Signal Processing, 59(12), 5983–5993.MathSciNetCrossRef
30.
go back to reference He, C., Sheng, B., Zhu, P., & You, X. (2012). Energy efficiency and spectral efficiency tradeoff in downlink distributed antenna systems. IEEE Wireless Communications Letters, 1(3), 153–156.CrossRef He, C., Sheng, B., Zhu, P., & You, X. (2012). Energy efficiency and spectral efficiency tradeoff in downlink distributed antenna systems. IEEE Wireless Communications Letters, 1(3), 153–156.CrossRef
31.
go back to reference Papandriopoulos, J., & Evans, J. (2009). SCALE: A low-complexity distributed protocol for spectrum balancing in multiuser DSL networks. IEEE Transactions on Information Theory, 55(8), 3711–3724.MathSciNetCrossRefMATH Papandriopoulos, J., & Evans, J. (2009). SCALE: A low-complexity distributed protocol for spectrum balancing in multiuser DSL networks. IEEE Transactions on Information Theory, 55(8), 3711–3724.MathSciNetCrossRefMATH
32.
go back to reference Julian, D., Chiang, M., O’Neill, D., & Boyd, S. (2002). QoS and fairness constrained convex optimization of resource allocation for wireless cellular and ad hoc networks. In Proceedings of IEEE INFOCOM, Vol. 2, pp. 477–486. Julian, D., Chiang, M., O’Neill, D., & Boyd, S. (2002). QoS and fairness constrained convex optimization of resource allocation for wireless cellular and ad hoc networks. In Proceedings of IEEE INFOCOM, Vol. 2, pp. 477–486.
33.
go back to reference Chiang, M., Tan, C. W., Palomar, D., O’Neill, D., & Julian, D. (2007). Power control by geometric programming. IEEE Transactions on Wireless Communications, 6(7), 2640–2651.CrossRef Chiang, M., Tan, C. W., Palomar, D., O’Neill, D., & Julian, D. (2007). Power control by geometric programming. IEEE Transactions on Wireless Communications, 6(7), 2640–2651.CrossRef
34.
go back to reference Boyd, S., & Vandenberghe, L. (2009). Convex optimization. Cambridge: Cambridge University Press.MATH Boyd, S., & Vandenberghe, L. (2009). Convex optimization. Cambridge: Cambridge University Press.MATH
35.
go back to reference An, L.T.H. (2003). DC programming for solving a class of global optimization problems via reformulation by exact penalty. In Proceedings of first international workshop on global constraint optimization and constraint satisfaction (pp. 87–101). Springer. An, L.T.H. (2003). DC programming for solving a class of global optimization problems via reformulation by exact penalty. In Proceedings of first international workshop on global constraint optimization and constraint satisfaction (pp. 87–101). Springer.
36.
37.
go back to reference Smola, A. J., Vishwanathan, S. V. N., & Hofmann, T. (2005). Kernel methods for missing variables. Tenth International Workshop on Artificial Intelligence & Statistics (pp. 325–332). Smola, A. J., Vishwanathan, S. V. N., & Hofmann, T. (2005). Kernel methods for missing variables. Tenth International Workshop on Artificial Intelligence & Statistics (pp. 325–332).
38.
go back to reference Lanckriet, G. R., & Sriperumbudur, B. K. (2009). On the convergence of the concave–convex procedure. In Proceedings of advances in neural information processing systems, pp. 1759–1767. Lanckriet, G. R., & Sriperumbudur, B. K. (2009). On the convergence of the concave–convex procedure. In Proceedings of advances in neural information processing systems, pp. 1759–1767.
39.
go back to reference Li, H., & Adali, T. (2008). Complex-valued adaptive signal processing using nonlinear functions. EURASIP Journal on Advances in Signal Processing, 2008, 1–9.MATH Li, H., & Adali, T. (2008). Complex-valued adaptive signal processing using nonlinear functions. EURASIP Journal on Advances in Signal Processing, 2008, 1–9.MATH
40.
go back to reference Cheng, Y., & Pesavento, M. (2012). Joint optimization of source power allocation and distributed relay beamforming in multiuser peer-to-peer relay networks. IEEE Transactions on Signal Processing, 60(6), 2962–2973.MathSciNetCrossRef Cheng, Y., & Pesavento, M. (2012). Joint optimization of source power allocation and distributed relay beamforming in multiuser peer-to-peer relay networks. IEEE Transactions on Signal Processing, 60(6), 2962–2973.MathSciNetCrossRef
41.
go back to reference Bornhorst, N., Pesavento, M., & Gershman, A. (2012). Distributed beamforming for multi-group multicasting relay networks. IEEE Transactions on Signal Processing, 60(1), 221–232.MathSciNetCrossRef Bornhorst, N., Pesavento, M., & Gershman, A. (2012). Distributed beamforming for multi-group multicasting relay networks. IEEE Transactions on Signal Processing, 60(1), 221–232.MathSciNetCrossRef
42.
go back to reference Winston, W. L., & Goldberg, J. B. (2004). Operations research: Applications and algorithms. Boston: Duxbury Press. Winston, W. L., & Goldberg, J. B. (2004). Operations research: Applications and algorithms. Boston: Duxbury Press.
43.
go back to reference Yan, L., Bai, B., & Chen, W. (2014). On energy efficiency maximization in downlink MIMO systems exploiting multiuser diversity. IEEE Communications Letters, 18(12), 2161–2164.CrossRef Yan, L., Bai, B., & Chen, W. (2014). On energy efficiency maximization in downlink MIMO systems exploiting multiuser diversity. IEEE Communications Letters, 18(12), 2161–2164.CrossRef
44.
go back to reference Yang, Y., Quek, T., & Duan, L. (2014). Backhaul-constrained small cell networks: Refunding and QoS provisioning. IEEE Transactions on Wireless Communications, 13(9), 5148–5161.CrossRef Yang, Y., Quek, T., & Duan, L. (2014). Backhaul-constrained small cell networks: Refunding and QoS provisioning. IEEE Transactions on Wireless Communications, 13(9), 5148–5161.CrossRef
45.
go back to reference Jin, Y., & Zhang, Y. (2010). Joint source and relay power optimization in multiuser cooperative wireless networks. In Proceedings of 4th International Symposium on Communications, Control and Signal Processing (ISCCSP), pp. 1–4. Jin, Y., & Zhang, Y. (2010). Joint source and relay power optimization in multiuser cooperative wireless networks. In Proceedings of 4th International Symposium on Communications, Control and Signal Processing (ISCCSP), pp. 1–4.
Metadata
Title
Power allocation in small cell networks with full-duplex self-backhauls and massive MIMO
Authors
Lei Chen
F. Richard Yu
Hong Ji
Bo Rong
Victor C. M. Leung
Publication date
27-10-2016
Publisher
Springer US
Published in
Wireless Networks / Issue 4/2018
Print ISSN: 1022-0038
Electronic ISSN: 1572-8196
DOI
https://doi.org/10.1007/s11276-016-1381-1

Other articles of this Issue 4/2018

Wireless Networks 4/2018 Go to the issue