A Novel Approach to Secure Communication in Physical Layer via Coupled Dynamical Systems

Abstract

A new framework for secure communication in physical layer is proposed. A network of users equipped with coupled dynamical systems is considered. The aim is to securely exchange messages between network nodes in the presence of an eavesdropper, referred to as Eve. Unlike a traditional wireless system, the messages to be conveyed are not sent directly through the medium. Instead, they are mapped to initial conditions of the dynamical system. Once the system converges to a steady state, conditions of the local system at each node is measured to recover the sent messages. A fundamental property of the proposed system which makes it secure is that Eve is not part of the dynamical system and hence, she does not observe the initial conditions of the nodes for steady state comparison measurement. In particular, a situation with two users is considered. The proposed system is then modeled as a two-way wiretap channel and the secrecy capacity region is derived under various conditions. A consequence of our result is that regardless of Eve's physical location and how strong her receiver is the achievable rates are positive, i.e., secure communication is possible. Furthermore, a radio frequency (RF) system is proposed to realize this model in a wireless setting by means of local coupled oscillators. In particular, a unidirectional master-slave coupling architecture is considered where a power-constrained slave node synchronizes its frequency with a high-power master node. It is shown how the coupling mechanism, realized by transmitting and receiving power between the RF front-ends of the master and the slave node, can be used by the slave node to securely send messages or to share secret keys with the master node. To the best of our knowledge, this is the first architecture providing physical layer secret key generation fully designed in the RF front-end. The proposed RF system is simulated using Advanced Design System (ADS). The simulation results are shown for a 10 m channel link and confirm the security condition. The secret key generation rate is 2 bits per synchronization time-frame which is dominated by the wave propagation delay between the two nodes.