A Prospect Theoretic Look at a Joint Radar and Communication System

In this paper, we consider the problem of finding how a joint radar and communication system should divide its effort between supporting the radar and communication objectives when the system operates in an environment with hostile interference. Our model explores the uncertainty of the jammer’s location by assuming the joint system knows only the a priori probabilities of jammer’s positions. The underlying problem is formulated and solved as a Bayesian game involving the joint radar/communication system and a jammer. We then explore how irrational behavior by the rivals can affect the equilibrium strategies by using prospect theory (PT). It is shown that the PT system strategy is not sensitive to the jammer’s probability weighting parameter, while jammer’s strategy is sensitive to probability weighted parameters of both rivals.

[1]  A. Tversky,et al.  Advances in prospect theory: Cumulative representation of uncertainty , 1992 .

[2]  Andrey Garnaev,et al.  Stability of communication link connectivity against hostile interference , 2017, 2017 IEEE Global Conference on Signal and Information Processing (GlobalSIP).

[3]  Andrey Garnaev,et al.  One-Time Spectrum Coexistence in Dynamic Spectrum Access When the Secondary User May Be Malicious , 2015, IEEE Transactions on Information Forensics and Security.

[4]  Andrey Garnaev,et al.  Fair resource allocation under an unknown jamming attack: a Bayesian game , 2014, 2014 IEEE International Workshop on Information Forensics and Security (WIFS).

[5]  Athina P. Petropulu,et al.  Bargaining over fair performing dual radar and communication task , 2016, 2016 50th Asilomar Conference on Signals, Systems and Computers.

[6]  A. Tversky,et al.  Prospect theory: analysis of decision under risk , 1979 .

[7]  Eitan Altman,et al.  Jamming Game in a Dynamic Slotted ALOHA Network , 2011, GAMENETS.

[8]  Visa Koivunen,et al.  Delay estimation method for coexisting radar and wireless communication systems , 2017, 2017 IEEE Radar Conference (RadarConf).

[9]  Walid Saad,et al.  Prospect theory for enhanced cyber-physical security of drone delivery systems: A network interdiction game , 2017, 2017 IEEE International Conference on Communications (ICC).

[10]  Andrey Garnaev,et al.  Stationary Equilibrium Strategies for Bandwidth Scanning , 2013, MACOM.

[11]  Drew Fudenberg,et al.  Game theory (3. pr.) , 1991 .

[12]  H. Vincent Poor,et al.  An Introduction to Signal Detection and Estimation , 1994, Springer Texts in Electrical Engineering.

[13]  Narayan B. Mandayam,et al.  When Users Interfere with Protocols: Prospect Theory in Wireless Networks using Random Access and Data Pricing as an Example , 2014, IEEE Transactions on Wireless Communications.

[14]  Athina P. Petropulu,et al.  Bargaining in a Dual Radar and Communication System Using Radar-Prioritized OFDM Waveforms , 2017, NEW2AN.

[15]  Xi Fang,et al.  Coping with a Smart Jammer in Wireless Networks: A Stackelberg Game Approach , 2013, IEEE Transactions on Wireless Communications.

[16]  Urbashi Mitra,et al.  Mutual information based radar waveform design for joint radar and cellular communication systems , 2016, 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[17]  Athina P. Petropulu,et al.  Optimum Co-Design for Spectrum Sharing between Matrix Completion Based MIMO Radars and a MIMO Communication System , 2015, IEEE Transactions on Signal Processing.

[18]  Wayne E. Stark,et al.  Optimal Multiband Transmission Under Hostile Jamming , 2016, IEEE Transactions on Communications.

[19]  Yuanwei Jin,et al.  A joint design of transmit waveforms for radar and communications systems in coexistence , 2014, 2014 IEEE Radar Conference.

[20]  Mei Wang,et al.  Cumulative prospect theory and the St. Petersburg paradox , 2006 .

[21]  Eitan Altman,et al.  Jamming in wireless networks under uncertainty , 2009, WiOpt.

[22]  H. Vincent Poor,et al.  Cumulative prospect theoretic study of a cloud storage defense game against advanced persistent threats , 2017, 2017 IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS).

[23]  A. Aubry,et al.  A new radar waveform design algorithm with improved feasibility for spectral coexistence , 2015, IEEE Transactions on Aerospace and Electronic Systems.

[24]  A. Tversky,et al.  Prospect theory: an analysis of decision under risk — Source link , 2007 .

[25]  Petropulu Athina,et al.  Bargaining over fair performing dual radar and communication task , 2016 .

[26]  Andrey Garnaev,et al.  To Eavesdrop or Jam, That is the Question , 2013, ADHOCNETS.

[27]  Walid Saad,et al.  Eavesdropping and jamming in next-generation wireless networks: A game-theoretic approach , 2011, 2011 - MILCOM 2011 Military Communications Conference.

[28]  Muralidhar Rangaswamy,et al.  Multi-modal OFDM waveform design , 2013, 2013 IEEE Radar Conference (RadarCon13).