Spatial stochastic models for analysis of heterogeneous cellular networks with repulsively deployed base stations

Performance Evaluation

Volumn 78, Issue , 2014, Pages 7-17

  Nakata, Itaru ^a   Miyoshi, Naoto ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Coverage probability; Determinantal point processes; Heterogeneous cellular networks; Signal to interference plus noise ratio; Spatial stochastic models; Ginibre point processes

Indexed keywords

PROBABILITY;

COVERAGE PROBABILITIES; HETEROGENEOUS CELLULAR NETWORKS; NOISE RATIO; POINT PROCESS; SPATIAL STOCHASTIC;

BASE STATIONS;

EID: 84903200151     PISSN: 01665316     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.peva.2014.05.002     Document Type: Article

References (28)

1. LTE advanced: heterogeneous networks, Qualcomm, 2011. Available at http://www.qualcomm.com/media/documents/files/qualcomm-research-lte- heterogeneous-networks.pdf.
2. X. Lagrange Multitier cell design IEEE Commun. Mag. 35 1997 60 64
3. H.S. Dhillon, R.K. Ganti, F. Baccelli, and J.G. Andrews Modeling and analysis of K-tier downlink heterogeneous cellular networks IEEE J. Sel. Areas Commun. 30 2012 550 560
4. H.S. Dhillon, R.K. Ganti, J.G. Andrews, Load-aware heterogeneous cellular networks: modeling and SIR distribution, in: Globecom 2012 - Wireless Communications Symposium, 2012, pp. 4530-4535.
5. M. Di Renzo, C. Merola, A. Guidotti, F. Santucci, and G.E. Corazza Error performance of multi-antenna receivers in a Poisson field interferers: a stochastic geometry approach IEEE Trans. Commun. 61 2013 2025 2047
6. M. Di Renzo, A. Guidotti, and G.E. Corazza Average rate of downlink heterogeneous cellular networks over generalized fading channels: a stochastic geometry approach IEEE Trans. Commun. 61 2013 3050 3071
7. H.-S. Jo, Y.J. Sang, P. Xia, and J.G. Andrews Heterogeneous cellular networks with flexible cell association: a comprehensive downlink SINR analysis IEEE Trans. Wireless Commun. 11 2012 3484 3495
8. P. Madhusudhanan, J.G. Restrepo, Y. Liu, T.X. Brown, Downlink coverage analysis in a heterogeneous cellular network, in: Globecom 2012 - Wireless Communications Symposium, 2012, pp. 4386-4391.
9. S. Mukherjee Distribution of downlink SINR in heterogeneous cellular networks IEEE J. Sel. Areas Commun. 30 2012 575 585
10. S. Mukherjee, Downlink SINR distribution in a heterogeneous cellular wireless network with biased cell association, in: Proc. 2012 IEEE ICC, 2012, pp. 6780-6786.
11. F. Baccelli, and B. Błaszczyszyn Stochastic geometry and wireless networks Volume I: Theory/Volume II: Applications Foundations and Trends(R) in Networking vol. 3 2009 249 449 4 (2009) 1-312
12. M. Haenggi Stochastic Geometry for Wireless Networks 2012 Cambridge University Press
13. J.G. Andrews, F. Baccelli, and R.K. Ganti A tractable approach to coverage and rate in cellular networks IEEE Trans. Commun. 59 2011 3122 3134
14. F. Baccelli, M. Klein, M. Lebourges, and S. Zuyev Stochastic geometry and architecture of communication networks Telecommun. Syst. 7 1997 209 227
15. F. Baccelli, and S. Zuyev Stochastic geometry models of mobile communication networks Frontiers in Queueing: Models and Applications in Science and Engineering 1997 CRC Press 227 243
16. T.X. Brown Cellular performance bounds via shotgun cellular systems IEEE J. Sel. Areas Commun. 18 2000 2443 2455
17. P.J. Fleming, A.L. Stolyar, B. Simon, Closed-form expressions for other-cell interference in cellular CDMA, in: Center for Computational Mathematics Reports 116, University of Colorado Denver, 1997.
18. J. Ilow, and D. Hatzinakos Analytic alpha-stable noise modeling in a Poisson field of interferers or scatterers IEEE Trans. Signal Process. 46 1998 1601 1611
19. E.S. Sousa Performance of a spread spectrum packet radio network link in a Poisson field of interferes IEEE Trans. Inform. Theory 38 1992 1743 1754
20. N. Miyoshi, and T. Shirai A cellular network model with Ginibre configurated base stations Adv. Appl. Probab. 46 2014 in press
21. J.B. Hough, M. Krishnapur, Y. Peres, and B. Virág Zeros of Gaussian Analytic Functions and Determinantal Point Processes 2009 American Mathematical Society Also available at http://research.microsoft.com/en-us/um/ people/peres/GAF-book.pdf
22. T. Shirai, and Y. Takahashi Random point fields associated with certain Fredholm determinants I: Fermion, Poisson and Boson processes J. Funct. Anal. 205 2003 414 463
23. A. Soshnikov Determinantal random point fields Russian Math. Surveys 55 2000 923 975
24. A. Goldman The Palm measure and the Voronoi tessellation for the Ginibre process Ann. Appl. Probab. 20 2010 90 128
25. G.L. Torrisi, and E. Leonardi Large deviations of the interference in the Ginibre network model Stoch. Syst. 4 2014 1 33 (electronic)
26. E. Kostlan On the spectra of Gaussian matrices, directions in matrix theory (Auburn, AL, 1990) Linear Algebra Appl. 162/164 1992 385 388
27. N. Miyoshi, and T. Shirai Cellular networks with α-Ginibre configurated base stations The Impact of Applications on Mathematics: Proc. of Math. for Industry 2013 2014 Springer in press
28. H. Nagamatsu, N. Miyoshi, T. Shirai, Padé approximation for coverage probability in cellular networks, in: Proc. 12th Int'l Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt/SpaSWiN 2014, Hmmamet, Tunisia, May 16 2014, pp. 699-706.