Abstract
In this paper, we investigate the performance of power line communication (PLC) network in the presence of jamming attacks. The legitimate nodes of the PLC network try to communicate with the anchor node of the network while the jamming node attempts to degrade the system performance. The fading, attenuation and colored noise of the PLC channel with dependence on the frequency and transmission distance are taken into account. To investigate the jamming problem, we frame the adversarial interaction into a Bayesian game, where the PLC network tries to maximize the overall expected network capacity and the jammer node has the opposite goal. In the Bayesian game, both players have imperfect knowledge of their opponents. We study effects of total power available to the players on the equilibrium of the game by formulating it into zero-sum and non-zero-sum games, respectively. It is found that under some network setup, there exists a threshold power for which the actual gameplay of the legitimate nodes does not depend upon the actions of the jamming node, and vice versa. This allows us to choose the appropriate power allocation schemes given the total power and the action of the jamming node in some cases.
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
Notes
- 1.
The frequency f is in \(\mathrm {MHz}\) throughout the paper.
References
Pavlidou, N., Han Vinck, A.J., Yazdani, J., Honary, B.: Power line communications: state of the art and future trends. IEEE Commun. Mag. 41(4), 34–40 (2003)
Liu, W., Sigle, M., Dostert, K.: Channel characterization and system verification for narrowband power line communication in smart grid applications. IEEE Commun. Mag. 49(12), 28–35 (2011)
Zhang, L., Ma, H., Shi, D., Wang, P., Cai, G., Liu, X.: Reliability oriented modeling and analysis of vehicular power line communication for vehicle to grid (V2G) information exchange system. IEEE Access 5, 12449–12457 (2017)
Pittolo, A., Tonello, A.M.: Physical layer security in power line communication networks: an emerging scenario, other than wireless. IET Commun. 8(8), 1239–1247 (2014)
Wang, K., Yuan, L., Miyazaki, T., Guo, S., Sun, Y.: Antieavesdropping with selfish jamming in wireless networks: a Bertrand game approach. IEEE Trans. Veh. Technol. 66(7), 6268–6279 (2016)
Scalabrin, M., Vadori, V., Guglielmi, A.V., Badia, L.: A zero-sum jamming game with incomplete position information in wireless scenarios. In: Proceedings of European Wireless Conference (EW), pp. 1–6. VDE (2015)
Tang, X., Ren, P., Wang, Y., Du, Q., Sun, L.: Securing wireless transmission against reactive jamming: a Stackelberg game framework. In: Proceedings of IEEE Global Communications Conference (GLOBECOM), pp. 1–6. IEEE (2015)
Mathur, A., Bhatnagar, M.R., Panigrahi, B.K.: Performance evaluation of PLC under the combined effect of background and impulsive noises. IEEE Commun. Lett. 19(7), 1117–1120 (2015)
Mathur, A., Bhatnagar, M.R., Panigrahi, B.K.: On the performance of a PLC system assuming differential binary phase shift keying. IEEE Commun. Lett. 20(4), 668–671 (2016)
Salem, A., Rabie, K.M., Hamdi, K.A., Alsusa, E., Tonello, A.M.: Physical layer security of cooperative relaying power-line communication systems. In: Proceedings of IEEE International Symposium on Power Line Communications and Its Applications (ISPLC), pp. 185–189. IEEE (2016)
Osborne, M.J., Rubinstein, A.: A Course in Game Theory. MIT Press, Cambridge (1994)
Goldsmith, A.: Wireless Communications. Cambridge University Press, New York (2005)
Güzelgöz, S., Arslan, H., Islam, A., Domijan, A.: A review of wireless and PLC propagation channel characteristics for smart grid environments. J. Electr. Comput. Eng. 2011, 1–12 (2011)
Karols, P., Dostert, K., Griepentrog, G., Huettinger, S.: Mass transit power traction networks as communication channels. IEEE J. Sel. Areas Commun. 24, 1339–1350 (2006)
Kim, S.-C., Lee, J.-H., Song, H.-H., Kim, Y.-H.: Wideband channel measurements and modeling for in-house power line communication. In: Proceedings of IEEE International Symposium on Power Line Communications and its Applications (ISPLC) (2002)
Tlich, M., Zeddam, A., Moulin, F., Gauthier, F.: Indoor power-line communications channel characterization up to 100 MHz-part I: one-parameter deterministic model. IEEE Trans. Power Delivery 23(3), 1392–1401 (2008)
Hoque, K.R., Debiasi, L., De Natale, F.G.B.: Performance analysis of MC-CDMA power line communication system. In: Proceedings of International Conference on Wireless and Optical Communications Networks (WOCN), pp. 1–5. IEEE (2007)
Karols, P.: Nachrichtentechnische Modellierung von Fahrleitungsnetzen in der Bahntechnik. Mensch-und-Buch-Verlag (2004)
Cheng, X., Cao, R., Yang, L.: Relay-aided amplify-and-forward powerline communications. IEEE Trans. Smart Grid 4(1), 265–272 (2013)
Tse, D., Viswanath, P.: Fundamentals of Wireless Communication. Cambridge University Press, New York (2005)
Simon, M.K., Alouini, M.-S.: Digital Communication over Fading Channels, vol. 95. Wiley, Hoboken (2005)
Ai, Y., Cheffena, M.: Capacity analysis of PLC over Rayleigh fading channels with colored Nakagami-\(m\) additive noise. In: Proceedings of IEEE Vehicular Technology Conference (VTC-Fall), pp. 1–5. IEEE (2016)
Mathur, A., Bhatnagar, M.R., Ai, Y., Cheffena, M.: Performance analysis of a dual-hop wireless-powerline mixed cooperative system. Submitted to IEEE Transactions on Industrial Informatics
(2012). https://seminarprojects.blogspot.com/2012/08/power-line-communication-plc.html. Accessed 28 June 2017
Myerson, R.B.: Game Theory. Harvard University Press, Cambridge (2013)
Han, Z.: Game Theory in Wireless and Communication Networks: Theory, Models, and Applications. Cambridge University Press, Cambridge (2012)
Dantzig, G.B.: Linear Programming and Extensions. Princeton University Press, Princeton (1998)
Garnaev, A., Baykal-Gursoy, M., Poor, H.V.: A game theoretic analysis of secret and reliable communication with active and passive adversarial modes. IEEE Trans. Wireless Commun. 15(3), 2155–2163 (2016)
Lemke, C.E., Howson Jr., J.T.: Equilibrium points of bimatrix games. J. Soc. Ind. Appl. Math. 12(2), 413–423 (1964)
https://www.mathworks.com/matlabcentral/fileexchange/44279-lemke-howson-algorithm-for-2-player-games. Accessed 28 June 2017
Zimmermann, M., Dostert, K.: A multipath model for the powerline channel. IEEE Trans. Commun. 50(4), 553–559 (2002)
Philipps, H.: Development of a statistical model for powerline communication channels. In: Proceedings of IEEE International Symposium on Power Line Communications and its Applications (ISPLC), pp. 5–7 (2000)
Acknowledgment
The authors gratefully acknowledge the Regional Research Fund of Norway (RFF) for supporting our research. Yun Ai would also like to thank the Norwegian University Center in St. Petersburg for funding his research visit to the Saint Petersburg State University, Russia. Artem Sedakov acknowledges the Russian Foundation for Basic Research (grant No. 17-51-53030).
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
Ai, Y., Bhatnagar, M.R., Cheffena, M., Mathur, A., Sedakov, A. (2017). Game-Theoretical Analysis of PLC System Performance in the Presence of Jamming Attacks. In: Rass, S., An, B., Kiekintveld, C., Fang, F., Schauer, S. (eds) Decision and Game Theory for Security. GameSec 2017. Lecture Notes in Computer Science(), vol 10575. Springer, Cham. https://doi.org/10.1007/978-3-319-68711-7_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-68711-7_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-68710-0
Online ISBN: 978-3-319-68711-7
eBook Packages: Computer ScienceComputer Science (R0)