Abstract
Attempting to build a uniform theory of mobility-dependent characterization of wireless communications systems, in this paper, we address time-dependent analysis of the signal-to-interference ratio (SIR) in device-to-device (D2D) communications scenario. We first introduce a general kinetic-based mobility model capable of representing the movement process of users with a wide range of mobility characteristics including conventional, fractal and even non-stationary ones. We then derive the time-dependent evolution of mean, variance and coefficient of variation of SIR metric. We demonstrate that under non-stationary mobility behavior of communicating entities the SIR may surprisingly exhibit stationary behavior.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Baccelli, F., Błaszczyszyn, B.: Stochastic geometry and wireless networks volume II applications. Found. Trends® Netw. 4(1–2), 1–312 (2010)
Haenggi, M.: Stochastic Geometry for Wireless Networks. Cambridge University Press, Cambridge (2012)
Klain, D.A., Rota, G.-C.: Introduction to Geometric Probability. Cambridge University Press, Cambridge (1997)
Rappaport, T.S.: Wireless Communications: Principles and Practice, vol. 2. Prentice Hall PTR, Upper Saddle River (1996)
Bettstetter, C., Hartenstein, H., Pérez-Costa, X.: Stochastic properties of the random waypoint mobility model. Wirel. Netw. 10(5), 555–567 (2004)
Nain, P., et al.: Properties of random direction models. In: INFOCOM 2005, Proceedings IEEE 24th Annual Joint Conference of the IEEE Computer and Communications Societies, vol. 3. IEEE (2005)
Groenevelt, R., Altman, E., Nain, P.: relaying in mobile ad hoc networks: the brownian motion mobility model. Wirel. Netw. 12(5), 561–571 (2006)
Rhee, I., et al.: On the levy-walk nature of human mobility. IEEE/ACM Trans. Netw. (TON) 19(3), 630–643 (2011)
Orlov, Yu.N., Fedorov, S.L.: Modeling and statistical analysis of functionals defined on samples from a nonstationary time series, Preprints IPM. M.V. Keldysh. no. 43, 26 p. (2014)
Orlov, Yu.N.: Kinetic methods for investigating time-dependent time series, 276 p. MIPT, Moscow (2014)
Orlov, Yu.N., Fedorov, S.L.: Methods for numerical modeling of processes of a nonstationary random walk, 112 p. MIPT, Moscow (2016)
Orlov, Yu.N., Fedorov, S.L.: Modeling of distributions of functionals on the ensemble of trajectories of a nonstationary stochastic process, Pr. M.V. Keldysh, No. 101, 14 p. (2016)
Fedorov, S.L., Orlov, Yu.N., Samuylov, A., Moltchanov, D., Gaidamaka, Y., Samouylov, K., Shorgin, S.: Modeling of functional distribution for ensemble of trajectories, induced by the non-stationary stochastic process. In: proceedings of the 31th European Conference on Modelling and Simulation ECMS-2017, Budapest, Bulgaria, 23–26 May 2017, pp. 720–725 (2017)
Orlov, Yu.N., Zenyuk, D., Samuylov, A., Moltchanov, D., Andreev, S., Romashkova, O., Gaidamaka, Y., Samouylov, K.: Time-dependent SIR modeling for D2D communications in indoor deployments. In: proceedings of the 31th European Conference on Modelling and Simulation ECMS-2017, Budapest, Bulgaria, 23–26 May 2017, pp. 726–731 (2017)
Samuylov, D., Moltchanov, Y., Gaidamaka, V., Begishev, R., Kovalchukov, P., Abaev, S., Shorgin. SIR analysis in square-shaped indoor premises. In: proceedings of the 30th European Conference on Modelling and Simulation ECMS-2016, Regensburg, Germany May 31–June 03 2016, pp. 692–697 (2016). doi:10.7148/2016-0692
Samuylov, A., Gaidamaka, Y., Moltchanov, D., Andreev, S., Koucheryavy, Y.: Random triangle: a baseline model for interference analysis in heterogeneous networks. IEEE Trans. Veh. Technol. 65(8), 6778–6782 (2016). doi:10.1109/TVT.2015.2481795
Begishev, V., Kovalchukov, R., Samuylov, A., Ometov, A., Moltchanov, D., Gaidamaka, Y., Andreev, S.: An analytical approach to SINR estimation in adjacent rectangular cells. In: Balandin, S., Andreev, S., Koucheryavy, Y. (eds.) ruSMART 2015. LNCS, vol. 9247, pp. 446–458. Springer, Cham (2015). doi:10.1007/978-3-319-23126-6_39
Etezov, S., Gaidamaka, Y., Samuylov, K., Moltchanov, D., Samuylov, A., Andreev, S., Koucheryavy, E.: On distribution of SIR in dense D2D deployments. In: 22nd European Wireless conference (EW 2016), 18–20 May 2016, Oulu, Finland, pp. 333–337 (2016)
Samuylov, A., Ometov, A., Begishev, V., Kovalchukov, R., Moltchanov, D., Gaidamaka, Y., Samouylov, K., Andreev, S., Koucheryavy, Y.: Analytical performance estimation of network-assisted D2D communications in urban scenarios with rectangular cells. Trans. Emerg. Telecommun. Technol. pp. 1–14 (2015). doi:10.1002/ett.2999
Acknowledgement
The publication was financially supported by the Ministry of Education and Science of the Russian Federation (the Agreement number 02.a03.21.0008) and by RFBR (research projects Nos. 15-07-03051, 17-07-00845).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Ivchenko, A., Orlov, Y., Samouylov, A., Molchanov, D., Gaidamaka, Y. (2017). Characterizing Time-Dependent Variance and Coefficient of Variation of SIR in D2D Connectivity. In: Galinina, O., Andreev, S., Balandin, S., Koucheryavy, Y. (eds) Internet of Things, Smart Spaces, and Next Generation Networks and Systems. ruSMART NsCC NEW2AN 2017 2017 2017. Lecture Notes in Computer Science(), vol 10531. Springer, Cham. https://doi.org/10.1007/978-3-319-67380-6_49
Download citation
DOI: https://doi.org/10.1007/978-3-319-67380-6_49
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-67379-0
Online ISBN: 978-3-319-67380-6
eBook Packages: Computer ScienceComputer Science (R0)