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http://dx.doi.org/10.3837/tiis.2020.08.012

Energy Efficiency Analysis and Optimization of Multiantenna Heterogeneous Cellular Networks Modeled by Matérn Hard-core Point Process  

Chen, Yonghong (Department of Communication and Information Engineering, Nanjing University of Posts and Telecommunications)
Yang, Jie (Department of Communication Engineering, Nanjing Institute of Technology)
Cao, Xuehong (Department of Communication and Information Engineering, Nanjing University of Posts and Telecommunications)
Zhang, Shibing (School of Electronics and Information, Nantong University)
Publication Information
KSII Transactions on Internet and Information Systems (TIIS) / v.14, no.8, 2020 , pp. 3366-3383 More about this Journal
Abstract
The Poisson point process (PPP) is widely used in wireless network modeling and performance analysis because it can provide tractable results for heterogeneous cellular networks (HetNets) analysis. However, it cannot accurately reflect the spatial distribution characteristics of the actual base stations (BSs). Considering the fact that the distribution of macro base stations (MBSs) is exclusive, the deployment of MBSs is modeled by the Matérn hard-core point process (MHCPP), and the deployment of pico base stations (PBSs) is modeled by PPP. This paper studies the performance of multiantenna HetNets and improves the energy efficiency (EE) of HetNets by optimizing the transmit power of PBSs. We use a simple approximate method to study the signal-to-interference ratio (SIR) distribution in two-tier MHCPP-PPP HetNets and derive the coverage probability, average data rate and EE of HetNets. Then, an optimization algorithm is proposed to improve the EE of HetNets. Finally, three transmission technologies are simulated and analyzed. The results show that multiantenna transmission has better system performance than single antenna transmission and that selecting the appropriate transmit power for a PBS can effectively improve the EE of the system. In addition, two-tier MHCPP-PPP HetNets have higher EE than two-tier PPP-PPP HetNets.
Keywords
Energy efficiency; Multiantenna; Heterogeneous cellular networks; $Mat{\acute{e}}rn$ hard-core point process; Coverage probability;
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1 R. K. Ganti, M. Haenggi, "Asymptotics and approximation of the SIR distribution in general cellular networks," IEEE Transactions on Wireless Communications, vol. 15, no. 3, pp. 2130- 2143, 2016.   DOI
2 M. Haenggi, "ASAPPP: A simple approximative analysis framework for heterogeneous cellular networks," in Proc. of presented at Workshop Heterogeneous Small Cell Netw. (HetSNets'14), Dec. 2014.
3 S. S. Kalamkar, M. Haenggi, "Simple Approximations of the SIR Meta Distribution in General Cellular Networks," IEEE Transactions on Communications, vol. 67, no. 6, pp. 4393-4406, 2019.   DOI
4 H. S. Jo, Y. J. Sang, P. Xia, et al., "Heterogeneous cellular networks with flexible cell association: a comprehensive downlink SINR analysis," IEEE Transactions on Wireless Communications, vol. 11, no. 10, pp. 3484 - 3495, 2012.   DOI
5 H. C. Wei, N. Deng, W. Y. Zhou, et al., "A simple approximative approach to the SIR analysis in general heterogeneous cellular networks," in Proc. of IEEE Global Communications Conference, December 6-10, 2015.
6 J. Yang, Z. Y. Pan, J. C. Du, "Performance Analysis of Two-Tier Heterogeneous Cellular Networks Based on Poisson Hard-Core Process," in Proc. of IEEE 19th International Conference on Communication Technology (IEEE ICCT2019), October 16-19, 2019.
7 D. Stoyan, W. S. Kendall, and J. Mecke, Stochastic Geometry and Its Applications, 2nd ed. John Wiley and Sons, 1995.
8 H. C. Wei, N. Deng, W. Y. Zhou, et al., "Approximate SIR analysis in general heterogeneous cellular networks," IEEE Transactions on Communications, vol. 64, no. 3, pp. 1259-1273, 2016.   DOI
9 G. Chen, L. Qiu, Z. Chen, "Area spectral efficiency analysis of multi-antenna networks modeled by Ginibre point process," IEEE Wireless Communications Letters, vol. 7, no. 1, pp. 6-9, February, 2018.   DOI
10 K. A. Hamdi, "A useful lemma for capacity analysis of fading interference channels," IEEE Transactions on Communications, vol. 58, no. 2, pp. 411-416, 2010.   DOI
11 D. Nguyen, L.-N. Tran, P. Pirinen, and M. Latva-aho, "Precoding for full duplex multiuser MIMO systems: spectral and energy efficiency maximization," IEEE Transactions on Signal Processing, vol. 61, no. 16, pp. 4038-4050, Aug. 2013.   DOI
12 J. Xu and L. Qiu, "Energy efficiency optimization for MIMO broadcast channels," IEEE Transactions on Wireless Communications, vol. 12, no. 2, pp. 690-701, Feb. 2013.   DOI
13 J. G. Andrews, F. Baccelli, and R. K. Ganti, "A tractable approach to coverage and rate in cellular networks," IEEE Transactions on Communications, vol. 59, no. 11, pp. 3122-3134, Nov. 2011.   DOI
14 A. Ghosh, N. Mangalvedhe, R. Ratasuk, et al., "Heterogeneous cellular networks: From theory to practice," IEEE Communications Magazine, vol. 50, no. 6, pp. 54-64, 2012.   DOI
15 T. Yang, F. Heliot, and C. H. Foh, "A survey of green scheduling schemes for homogeneous and heterogeneous cellular networks," IEEE Communications Magazine, vol. 53, no. 11, pp. 175-181, Nov. 2015.   DOI
16 M. Peng, D. Liang, Y. Wei, J. Li, and H.-H. Chen, "Self-configuration and self-optimization in LTE-advanced heterogeneous networks," IEEE Communications Magazine, vol. 51, no. 5, pp. 36-45, May 2013.   DOI
17 H. S. Dhillon, R. K. Ganti, F. Baccelli, et al., "Modeling and Analysis of K-Tier Downlink Heterogeneous Cellular Networks," IEEE Journal on Selected Areas in Communications, vol. 30, no. 3, pp.550-560, 2012.   DOI
18 H. S. Dhillon, M. Kountouris, and J. G. Andrews, "Downlink MIMO HetNets: Modeling, ordering results and performance analysis," IEEE Transactions on Wireless Communications, vol. 12, no. 10, pp. 5208-5222, Oct. 2013.   DOI
19 R. Wang, J. Zhang, S. H. Song, and K. B. Letaief, "Average throughput analysis of downlink cellular networks with multi-antenna base stations," in Proc. of IEEE International Symposium on Personal, Indoor, and Mobile Radio Communication (PIMRC), pp. 1892-1896, Sep. 2014.
20 Z. Chen, L. Qiu, and X. Liang, "Area spectral efficiency analysis and energy consumption minimization in multi-antenna Poisson distributed networks," IEEE Transactions on Wireless Communications, vol. 15, no. 7, pp. 4862-4874, Jul. 2016.   DOI
21 C. Li, J. Zhang, J. G. Andrews, and K. B. Lataief, "Success probability and area spectral efficiency in multiuser MIMO HetHets," IEEE Transactions on Communications, vol. 64, no. 4, pp. 1544-1556, Apr. 2016.   DOI
22 X. Chen, J. Wu, Y. Cai, H. Zhang, and T. Chen, "Energy-efficiency oriented traffic offloading in wireless networks: A brief survey and a learning approach for heterogeneous cellular networks," IEEE Journal on Selected Areas in Communications, vol. 33, no. 4, pp. 627-640, Apr. 2015.   DOI
23 Q. Cui, T. Yuan, and W. Ni, "Energy-efficient two-way relaying under non-ideal power amplifiers," IEEE Transactions on Vehicular Technology, vol. 66, no. 2,pp. 1257-1270, Feb. 2017.   DOI
24 T. Zhang, J. Zhao, L. An, and D. Liu, "Energy efficiency of base station deployment in ultra dense HetNets: A stochastic geometry analysis," IEEE Wireless Communications Letters, vol. 5, no. 2, pp. 184-187, Apr. 2016.   DOI
25 J. G. Andrews et al., "What will 5G be," IEEE Journal on Selected Areas in Communications, vol. 32, no. 6, pp. 1065-1082, Jun. 2014.   DOI
26 A. Dataesatu, P. Boonsrimuang, K. Mori, and P. Boonsrimuang, "Energy Efficiency Enhancement in 5G Heterogeneous Cellular Networks Using System Throughput Based Sleep Control Scheme," in Proc. of International Conference on Advanced Communications Technology(ICACT), pp. 549-553, 2020.
27 L. Li, M. Peng, C. Yang, and Y. Wu, "Optimization of base-station density for high energy-efficient cellular networks with sleeping strategies," IEEE Transactions on Wireless Communications, vol. 65, no. 9, pp. 7501-7514, Sep. 2016.
28 Z. Wang and W. Zhang, "A separation architecture for achieving energyefficient cellular networking," IEEE Transactions on Wireless Communications, vol. 13, no. 6, pp. 3113-3123, Jun. 2014.   DOI
29 H. Chen, Q. Zhang and F. Zhao, "Energy-efficient base station sleep scheduling in relay-assisted cellular networks," KSII Transations on Internet and Information Systems, vol. 9, no. 3, pp. 1074-1086, May, 2015.
30 Y. S. Soh, T. Q. S. Quek, M. Kountouris, and H. Shin, "Energy efficient heterogeneous cellular networks," IEEE Journal on Selected Areas in Communications, vol. 31, no. 5, pp. 840-850, May 2013.   DOI
31 C. H. Liu, K. L. Fong, "Fundamentals of the downlink green coverage and energy efficiency in heterogeneous networks," IEEE Journal on Selected Areas in Communications, vol. 34, no. 12, pp. 3271-3287, 2016.   DOI
32 C. Liu, B. Natarajan, H. Xia, "Small cell base station sleep strategies for energy efficiency," IEEE Transactions on Vehicular Technology, vol. 65, no. 3, pp. 1652-1661, 2016.   DOI
33 M. Xu, X. F. Tao, F. Yang, et al., "On energy efficient design for dynamic CoMP transmission in K-Tier heterogeneous cellular networks," China Communications, vol. 13, no. 6, pp. 147-153, 2016.   DOI
34 H. He, P. Aquilina and T. Ratnarajah, "Full-duplex Multi-cell Networks with Interference Alignment," in Proc. of 16th International Symposium on Wireless Communication Systems (ISWCS), August 27-30, 2019.
35 N. Deng, W. Zhou, M.Haenggi, "The Ginibre point process as a model for wireless networks with repulsion," IEEE Transactions on Wireless Communications, vol. 14, no. 1, pp. 107-121, 2015.   DOI
36 H. B. Kong, I. Flint, P. Wang, et al., "Modeling and analysis of wireless networks using poisson hard-core process," in Proc. of IEEE International Conference on Communications, May 21-25, 2017.
37 A. M. Ibrahim, T. ElBatt, and A. El-Keyi, "Coverage probability analysis for wireless networks using repulsive point processes," in Proc. of IEEE 24th Annu. Int. Symp. Pers. Indoor Mobile Radio Commun. (PIMRC), pp. 1002-1007, September, 2013.
38 W. Bao and B. Liang, "Rate maximization through structured spectrum allocation and user association in heterogeneous cellular networks," IEEE Transactions on Communications, vol. 63, no. 11, pp. 4510-4524, Nov. 2015.   DOI
39 H. ElSawy and E. Hossain, "On cognitive small cells in two-tier heterogeneous networks," in Proc. of 9th Int. Workshop Spatial Stochastic Models Wireless Netw. (SpaSWiN), pp. 75-82, May 2013.
40 H. He, J. Xue, T. Ratnarajah, et al., "Modeling and analysis of cloud radio access networks using Matern hard-core point processes," IEEE Transactions on Wireless Communications, vol. 15, no. 6, pp. 4074-4087, 2016.   DOI
41 R. K. Ganti, M. Haenggi, "SIR asymptotics in general cellular network models," in Proc. of IEEE International Symposium on Information Theory (ISIT), pp. 1009-1013, June 14-19, 2015.
42 H. ElSawy, E. Hossain, "Two-tier hetNets with cognitive femtocells: downlink performance modeling and analysis in a multichannel environment," IEEE Transactions on Mobile Computing, vol. 13, no. 3, pp. 649-663, 2014.   DOI
43 M. Haenggi, "The mean interference-to-signal ratio and its key role in cellular and amorphous networks," IEEE Wireless Communications Letters, vol. 3, no. 6, pp. 597-600, 2014.   DOI