Model based on Matern process for ICI mitigation in multi cell cooperation

S. Pratap Singh; Suman Yadav; Sanjay Kumar

doi:10.3103/S0735272717080039

Authors

S. Pratap Singh Birla Institute of Technology, India
Suman Yadav Galgotias College of Engineering and Technology, India
Sanjay Kumar Birla Institute of Technology, India

DOI:

https://doi.org/10.3103/S0735272717080039

Keywords:

MHCP, СCDF, PDF, MCC, ergodic capacity

Abstract

Ever increasing need of data rate and coverage can be achieved by mitigating the impairments of wireless communication system. Inter cell interference (ICI) is one of the most challenging impairment of wireless communication. To mitigate ICI, multi cell cooperation (MCC) based technique has been proposed in literature. In this paper, ICI mitigation is achieved by using Matérn Hard-Core Point Process (MHCP) instead of Poisson point process (PPP). In MHCP a minimum distance between base stations is maintained. Therefore, MHCP corresponds to real deployment scenario. Also, use of MHCP reduces the analytical complexity significantly compared to that of PPP. A closed form expression for complementary cumulative distribution function (CCDF) of signal-to-interference ratio is derived using MHCP for MCC based system in terms of number of base stations, number of antennas and path loss. Using derived expression of CCDF, analytical expressions for probability density function and ergodic capacity is also presented in the closed form. Finally, performance analysis is shown in terms of ergodic capacity. Results are validated by comparing the proposed results with [4].

References

HUANG, K.; ANDREWS, J.G. An analytical framework for multicell cooperation via stochastic geometry and large deviations. IEEE Trans. Inf. Theory, v.59, n.4, p.2501, 2012. DOI: https://doi.org/10.1109/TIT.2012.2232966.

LEE, N.; MORALES-JIMENEZ, D.; LOZANO, A.; HEATH, R.W. Spectral efficiency of dynamic coordinated beamforming: A stochastic geometry approach. IEEE Trans. Wireless Commun., v.14, n.1, 2015. DOI: https://doi.org/10.1109/TWC.2014.2337305.

SARKAR, A.; HAENGGI, M. Secrecy coverage. Internet Mathematics, v.9, n.2-3, p.199-216, 2013. DOI: http://dx.doi.org/10.1080/15427951.2012.673333.

IBRAHIM, A.M.; ELBATT, T.; EL-KEYI, A. Coverage probability analysis for wireless networks using repulsive point processes. Proc. of IEEE 24th Int. Symp. on Personal, Indoor and Mobile Radio Communications, 8-11 Sept. 2013, London UK. IEEE, 2013. DOI: https://doi.org/10.1109/PIMRC.2013.6666284.

BACCELLI, F.; GIOVANIDIS, A. A stochastic geometry framework for analyzing pairwise-cooperative cellular networks. IEEE Trans. Wireless Commun., v.14, n.2, p.794-808, 2015. DOI: https://doi.org/10.1109/TWC.2014.2360196.

HAENGGI, M.; ANDREWS, J.G.; BACCELLI, F.; DOUSSE, O.; FRANCESCHETTI, M. Stochastic geometry and random graphs for the analysis and design of wireless networks. IEEE J. Selected Areas Commun., v.27, n.7, 2009. DOI: https://doi.org/10.1109/JSAC.2009.090902.

BURCHARDT, H.; HAAS, H. Multicell cooperation: evolution of coordination and cooperation in large-scale networks. IEEE Wireless Commun., v.20, n.1, p.19-26, 2013. DOI: https://doi.org/10.1109/MWC.2013.6472195.

ALFANO, G.; GARETTO, M.; LEONARDI, E. New insights into the stochastic geometry analysis of dense CSMA networks. Proc. IEEE INFOCOM, 10-15 Apr. 2011, Shanghai, China. IEEE, 2011. DOI: https://doi.org/10.1109/INFCOM.2011.5935092.

STOYAN, D.; STOYAN, H. On one of Matérn’s hard-core point process models. Mathematische Nachrichten, v.122, n.1, p.205-214, 1985. DOI: https://doi.org/10.1002/mana.19851220121.

JONES, M.O. Limiting behaviour of some spatial particle systems. Stochastic Models, v.31, n.2, p.208, 2015. DOI: http://dx.doi.org/10.1080/15326349.2014.994367.

YADAV, S.; SINGH, S. PRATAP. Novel closed form expression for multi cell cooperation using MHCP to reduce interference. Proc. of IEEE 18th Int. Symp. on Wireless Personal Multimedia Communications, 2015.

YADAV, S.; SINGH, S. PRATAP. Closed form expression of ergodic capacity for multi cell cooperation using MHCP. Proc. of IEEE UP Section Conf. on Electrical Computer and Electronics, UPCON, 4-6 Dec. 2015, Allahabad, India. IEEE, 2016. DOI: https://doi.org/10.1109/UPCON.2015.7456745.

GRADSHTEYN, I.S.; RYZHIK, I.M. Table of Integrals, Series, and Products, 7th ed. Academic Press Pub., 2007.

HOYDIS, J.; PETROVA, M.; MAHONEN, P. Effects of topology on local throughput-capacity of ad hoc networks. Proc. of IEEE 19th Int. Symp. on Personal, Indoor and Mobile Radio Communications, 15-18 Sept. 2008, Cannes, France. IEEE, 2008. DOI: https://doi.org/10.1109/PIMRC.2008.4699831.