Optimal Pricing and Power Allocation for Collaborative Jamming with Full Channel Knowledge in Wireless Sensor Networks

Abstract

This paper presents a price-searching model in which a source node (Alice) seeks friendly jammers that prevent eavesdroppers (Eves) from snooping legitimate communications by generating interference or noise. Unlike existing models, the distributed jammers also have data to send to their respective destinations and are allowed to access Alice’s channel if it can transmit sufficient jamming power, which is referred to as collaborative jamming in this paper. For the power used to deliver its own signal, the jammer should pay Alice. The price of the jammers’ signal power is set by Alice and provides a tradeoff between the signal and the jamming power. This paper presents, in closed-form, an optimal price that maximizes Alice’s benefit and the corresponding optimal power allocation from a jammers’ perspective by assuming that the network-wide channel knowledge is shared by Alice and jammers. For a multiple-jammer scenario where Alice hardly has the channel knowledge, this paper provides a distributed and interactive price-searching procedure that geometrically converges to an optimal price and shows that Alice by a greedy selection policy achieves certain diversity gain, which increases log-linearly as the number of (potential) jammers grows. Various numerical examples are presented to illustrate the behavior of the proposed model.

Transmission rate conditions for distributed filtering in sensor networks against eavesdropper

“…There are mainly four kinds of methods to defend against eavesdroppers. The first one is to employ friendly jammers to generate interference or noise (see, for example, Iwata et al, 2017;Jeong et al, 2017). In Iwata et al (2017), a cooperative jammer has been employed to aid with estimation errors and a lower bound on the ergodic secrecy capacity has been proposed.…”

“…In Iwata et al (2017), a cooperative jammer has been employed to aid with estimation errors and a lower bound on the ergodic secrecy capacity has been proposed. In Jeong et al (2017), a price-searching model has been proposed, and the friendly jammer has also been allowed to send messages to the legitimate users. The second one is to apply artificial noise injection.…”

Price-Based Resource Allocation in Wireless Power Transfer-Enabled Massive MIMO Networks

“…In [19], we considered to optimize the EE of wireless powered massive MIMO sensor network based on fractional programming. However, in [8,9,10,11,12,13,19], authors have not considered the resource allocation from the perspective of economics [20,21]. Considering the actual wireless communication scenario, the power beacon (PB) and the energy receiver can belong to different service operators.…”