DEFEATING JAMMING WITH THE POWER OF SILENCE: A GAME- THEORETIC ANALYSIS

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DEFEATING JAMMING WITH THE POWER OF SILENCE: A GAME- THEORETIC ANALYSIS

Abstract

The   timing   channel   is   a   logical   communication  channel   in   which information is encoded in the timing between events. Recently, the use of the timing  channel has  been proposed as  a  counter  measure to  reactive  jamming attacks  performed by  an  energy  constrained  malicious  node.  In  fact,  while  a jammer is able to disrupt the information contained in the attacked packets, timing information cannot be jammed, and therefore, timing channels can be exploited to deliver information to the receiver even on a jammed channel. Since the nodes under attack and the jammer have conflicting interests, their interactions can be modeled by means of game theory. Accordingly, in this paper, a game-theoretic model of the interactions between nodes exploiting the timing channel to achieve resilience to jamming attacks and a jammer is derived and analyzed. More specifically, the Nash equilibrium is studied in terms of existence, uniqueness, and

convergence under best response dynamics. Furthermore, the case in which the

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communication nodes  set  their  strategy  and  the  jammer reacts  accordingly is modeled and analyzed as a Stackel berg game, by considering both perfect and imperfect knowledge of the jammer’s utility function.

Existing System

Wireless networks are especially prone to several attacks due to the shared and broadcast nature of the wireless medium. One of the most critical attacks is jamming.  Jamming  attacks  can  partially  or  totally  disrupt  ongoing communications, and proper solutions have been proposed in various application scenarios. Continuous jamming attacks can be really expensive for the jammer in terms of energy consumption as the transmission of jamming signals needs a significant, and constant, amount of power. To reduce energy consumption while achieving a high jamming effectiveness, reactive jamming is frequently used  the feasibility and detectability of jamming attacks in wireless networks are analyzed. In these papers above, methodologies to detect jamming attacks are illustrated; it is also shown that it is possible to identify which kind of jamming attack is ongoing

by looking at the signal strength and other relevant network parameters, such as bit

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and packet errors. In the feasibility of reactive jamming attacks by providing a real implementation of a reactive jammer in a software-defined radio environment where a reactive jammer prototype is implemented on a USRP2 platform and network users are  implemented on MICAz motes. Authors  show that reactive jamming attacks are feasible and efficient, and that low reaction times can be achieved; then,  they  highlight  the  need  to  investigate proper countermeasures against reactive jamming attacks.

Drawbacks

To reduce energy consumption while achieving a high jamming effectiveness, reactive jamming is frequently used  the feasibility and detect ability of jamming attacks in wireless networks are analyzed.

Proposed System

The main contributions of this paper can be therefore summarized as follows: 1) we model the interactions between a jammer and a target node as a jamming game; 2) we prove the existence, uniqueness and

convergence   to   the   Nash   equilibrium  (NE)   under   best   response dynamics; 3) we prove the existence and uniqueness of the equilibrium of the Stackel berg game where the target node plays as a leader and the jammer reacts consequently; 4) we investigate in this latter Stackel berg scenario the impact on the achievable performance of imperfect knowledge of the jammer’s utility function; 5) we conduct an extensive numerical analysis which shows that our proposed models well capture the main factors behind the utilization of timing channels, thus representing a promising framework for the design and understanding of such systems.

Advantages

·  Lower Energy Consumption

·  High Throughput

Modules	·	Nash Equilibrium Analysis
	·	Existence of the Nash Equilibrium
	·	Uniqueness of the Nash Equilibrium
	· ·	Convergence to the Nash Equilibrium Performance Analysis

NASH Equilibrium Analysis

The Nash Equilibrium points (NEs), in which both players achieve their highest utility given the strategy profile of the opponent. In the following we also provide proofs of the existence, uniqueness and convergence to the Nash Equilibrium under best response dynamics.

Existence of the Nash Equilibrium

It is well known that the intersection points between bT(y) and bJ(x)are the

NEs of the game. Therefore, to demonstrate the existence of at least one NE, it

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suffices to prove that bT(y) and bJ(x) have one or more intersection points. In other words, it is sufficient to find one or more pairs.

Uniqueness of the Nash Equilibrium

After proving the NE existence in Theorem, let us prove the uniqueness of the NE, that is, there is only one strategy profile such that no player has incentive to deviate unilaterally.

Convergence to the Nash Equilibrium

We now analyze the convergence of the game to the NE when players follow Best Response Dynamics (BRD). In BRD the game starts from any initial

point(x(0),y(0))∈Sand, at each successive step, each player plays its strategy by

following its best response function.

Performance Analysis

The game allows the leader to achieve a utility which is atleast equal to the utility achieved in the ordinary game at the NE, if we assume perfect knowledge,

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that is, the target node is completely aware of the utility function of the jammer and  its  parameters,  and  thus  it  is  able  to  evaluate  bJ(x).  Whereas,  if  some parameters in the utility function of the jammer are unknown at the target node.

System Requirements

Hardware Requirements

Processor            -       Pentium –III Speed                  -        1.1 Ghz

RAM                    -       256 MB(min) Hard Disk            -       20 GB

Key Board            -       Standard Windows Keyboard

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Ø  Expert developers in JAVA , DOT NET , ANDROID , PHP, MATLAB , NS2 , NS3 , VLSI

,CLOUD SIM, TANNER , MICROWIND , EMBEDDED , ROBOTICS , MECHANICAL , MECHATRONICS , WIRELESS NETWORS, OPNET , OMNET

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Mouse                  -       Two or Three Button Mouse

Monitor               -        SVGA

Software Requirements:-

Operating System : LINUX

Tool                       : Network Simulator-2

Front End               :O TCL (Object Oriented Tool Command Language)

References

[1]  V. Anantharam and S. Verdu, “Bits through queues,” IEEE Trans. Inf. Theory, vol. 42, no. 1, pp. 4–18, Jan. 1996.

cellence in IEEE Project development for universities across INDIA, USA, UK, AUSTRALIA, and SWEEDEN.

Ø  Expert developers in JAVA , DOT NET , ANDROID , PHP, MATLAB , NS2 , NS3 , VLSI

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[2] G. Morabito, “Exploiting the timing channel to increase energy efficiency in

wireless networks,” IEEE J. Sel. Areas Commun., vol. 29, no. 8, pp. 1711–1720, Sep. 2011.