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2018 | OriginalPaper | Chapter

Impact of Uncertainty About a User to be Active on OFDM Transmission Strategies

Authors : Andrey Garnaev, Wade Trappe, Ratnesh Kumbhkar, Narayan B. Mandayam

Published in: Cognitive Radio Oriented Wireless Networks

Publisher: Springer International Publishing

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Abstract

In this paper we investigate the impact that incomplete knowledge regarding user activity can have on the equilibrium transmission strategy for an OFDM-based communication system. The problem is formulated as a two user non-zero sum game for independent fading channel gains, where the equilibrium strategies are derived in closed form. This allows one to show that a decrease in uncertainty about the user activity could reduce the number of subcarriers jointly used by the users. For the boundary case (with complete information, which reflects a classical water-filling game) the equilibrium strategies are given explicitly. The necessary and sufficient conditions, when channels sharing strategies are optimal, is established as well as the set of shared subcarriers is identified. The stability of the upper bound of the size of this set with respect to power budgets is derived.

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Appendix
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Literature
1.
go back to reference Altman, E., Avrachenkov, K., Garnaev, A.: Closed form solutions for water-filling problems in optimization and game frameworks. Telecommun. Syst. 47, 153–164 (2011)CrossRef Altman, E., Avrachenkov, K., Garnaev, A.: Closed form solutions for water-filling problems in optimization and game frameworks. Telecommun. Syst. 47, 153–164 (2011)CrossRef
2.
go back to reference Fudenberg, D., Tirole, J.: Game Theory. MIT Press, Boston (1991)MATH Fudenberg, D., Tirole, J.: Game Theory. MIT Press, Boston (1991)MATH
3.
go back to reference 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. Wirel. Commun. 15, 2155–2163 (2016)CrossRef 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. Wirel. Commun. 15, 2155–2163 (2016)CrossRef
4.
go back to reference Garnaev, A., Trappe, W.: The eavesdropping and jamming dilemma in multi-channel communications. In: IEEE International Conference on Communications (ICC), pp. 2160–2164. Budapest, Hungary (2013) Garnaev, A., Trappe, W.: The eavesdropping and jamming dilemma in multi-channel communications. In: IEEE International Conference on Communications (ICC), pp. 2160–2164. Budapest, Hungary (2013)
7.
go back to reference Garnaev, A., Trappe, W.: One-time spectrum coexistence in dynamic spectrum access when the secondary user may be malicious. IEEE Trans. Inf. Forensics Secur. 10, 1064–1075 (2015)CrossRef Garnaev, A., Trappe, W.: One-time spectrum coexistence in dynamic spectrum access when the secondary user may be malicious. IEEE Trans. Inf. Forensics Secur. 10, 1064–1075 (2015)CrossRef
8.
go back to reference Garnaev, A., Trappe, W.: A bandwidth monitoring strategy under uncertainty of the adversary’s activity. IEEE Trans. Inf. Forensics Secur. 11, 837–849 (2016)CrossRef Garnaev, A., Trappe, W.: A bandwidth monitoring strategy under uncertainty of the adversary’s activity. IEEE Trans. Inf. Forensics Secur. 11, 837–849 (2016)CrossRef
9.
go back to reference Garnaev, A., Trappe, W.: Bargaining over the fair trade-off between secrecy and throughput in OFDM communications. IEEE Trans. Inf. Forensics Secur. 12, 242–251 (2017)CrossRef Garnaev, A., Trappe, W.: Bargaining over the fair trade-off between secrecy and throughput in OFDM communications. IEEE Trans. Inf. Forensics Secur. 12, 242–251 (2017)CrossRef
10.
go back to reference Garnaev, A., Trappe, W., Petropulu, A.: Equilibrium strategies for an OFDM network that might be under a jamming attack. In: 51st Annual Conference on Information Systems and Sciences (CISS) (2017) Garnaev, A., Trappe, W., Petropulu, A.: Equilibrium strategies for an OFDM network that might be under a jamming attack. In: 51st Annual Conference on Information Systems and Sciences (CISS) (2017)
11.
go back to reference Han, Z., Niyato, D., Saad, W., Basar, T., Hjrungnes, A.: Game Theory in Wireless and Communication Networks: Theory, Models, and Applications. Cambridge University Press, New York (2012)MATH Han, Z., Niyato, D., Saad, W., Basar, T., Hjrungnes, A.: Game Theory in Wireless and Communication Networks: Theory, Models, and Applications. Cambridge University Press, New York (2012)MATH
12.
go back to reference He, G., Cottatellucci, L., Debbah, M.: The waterfilling game-theoretical framework for distributed wireless network information flow. EURASIP J. Wirel. Commun. Netw. 1, 124–143 (2010) He, G., Cottatellucci, L., Debbah, M.: The waterfilling game-theoretical framework for distributed wireless network information flow. EURASIP J. Wirel. Commun. Netw. 1, 124–143 (2010)
13.
go back to reference Ju, P., Song, W., Jin, A.L.: A Bayesian game analysis of cooperative MAC with incentive for wireless networks. In: IEEE Global Communications Conference (GLOBECOM) (2014) Ju, P., Song, W., Jin, A.L.: A Bayesian game analysis of cooperative MAC with incentive for wireless networks. In: IEEE Global Communications Conference (GLOBECOM) (2014)
15.
go back to reference Prasad, R.: OFDM for Wireless Communications Systems. Artech House, Boston (2004) Prasad, R.: OFDM for Wireless Communications Systems. Artech House, Boston (2004)
16.
go back to reference Scutari, G., Palomar, D.P., Barbarossa, S.: Asynchronous iterative water-filling for Gaussian frequency-selective interference channels. IEEE Trans. Inf. Theory 54, 2868–2878 (2008)MathSciNetCrossRefMATH Scutari, G., Palomar, D.P., Barbarossa, S.: Asynchronous iterative water-filling for Gaussian frequency-selective interference channels. IEEE Trans. Inf. Theory 54, 2868–2878 (2008)MathSciNetCrossRefMATH
17.
18.
go back to reference Song, T., Stark, W.E., Li, T., Tugnait, J.K.: Optimal multiband transmission under hostile jamming. IEEE Trans. Commun. 64, 4013–4027 (2016)CrossRef Song, T., Stark, W.E., Li, T., Tugnait, J.K.: Optimal multiband transmission under hostile jamming. IEEE Trans. Commun. 64, 4013–4027 (2016)CrossRef
19.
go back to reference Sridharan, G., Kumbhkar, R., Mandayam, N.B., Seskar, I., Kompella, S.: Physical-layer security of NC-OFDM-based systems. In: IEEE Military Communications Conference (MILCOM), pp. 1101–1106 (2016) Sridharan, G., Kumbhkar, R., Mandayam, N.B., Seskar, I., Kompella, S.: Physical-layer security of NC-OFDM-based systems. In: IEEE Military Communications Conference (MILCOM), pp. 1101–1106 (2016)
20.
go back to reference Wei, H., Sun, H.: Using Bayesian game model for intrusion detection in wireless Ad Hoc networks. Int. J. Commun. Netw. Syst. Sci. 3(7), 602–607 (2010) Wei, H., Sun, H.: Using Bayesian game model for intrusion detection in wireless Ad Hoc networks. Int. J. Commun. Netw. Syst. Sci. 3(7), 602–607 (2010)
21.
go back to reference Yu, W., Ginis, G., Cioffi, J.M.: Distributed multiuser power control for digital subscriber lines. IEEE J. Sel. Areas Commun. 20, 1105–1115 (2002)CrossRef Yu, W., Ginis, G., Cioffi, J.M.: Distributed multiuser power control for digital subscriber lines. IEEE J. Sel. Areas Commun. 20, 1105–1115 (2002)CrossRef
Metadata
Title
Impact of Uncertainty About a User to be Active on OFDM Transmission Strategies
Authors
Andrey Garnaev
Wade Trappe
Ratnesh Kumbhkar
Narayan B. Mandayam
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-76207-4_18

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