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Globecom

Virtual Wiretap Channel Based on Wireless Two-way Interferometry

Nobuyasu Shiga, Satoshi Yasuda, Kouki Yonaga, Kenichi Takizawa, Maki Yoshida

Published Dec 4, 2022• 1 citation
Publisher

Abstract

The wiretap channel is a setting where one aims to obtain information-theoretic security of communicated data under the sole assumption that the channel from a sender Alice to an eavesdropper Eve is “noisier” than that from Alice to a receiver Bob. However, in practice, the difference between the two channels in terms of noise may be much smaller because of the wide spread application of high-performance communication technologies. Thus, establishing a wiretap channel over real channels is a challenging task. In this paper, we report a wiretap channel in the form of a “protocol” (a so-called virtual wiretap channel) realized by using a highly precise wireless clock-synchronization technology called the wireless two-way interferometry (abbreviated as Wi-Wi). Wi-Wi technology has already been implemented in wireless communication devices, and it measures the clock time difference and signal propagation time in a situation where the precisions of both values are mutually affected. That is, Alice or Bob can induce a noise on Eve's clock time difference measurement by physically introducing noise in the signal propagation time between Alice and Bob. We analyzed the proposed wiretap channel referred to as the Wi-Wi wiretap channel experimentally, and estimated its parameters (e.g., the error probabilities). We confirmed that the Wi-Wi wiretap channel works well as a virtual wiretap channel by simulating and experimentally demonstrating a well-known, provably secure, optimal wiretap code over it. The results show that Wi-Wi wiretap channel can serve as a physical layer security, useful for synchronized Internet of Things (IoT) devises.

DOI
10.1109/globecom48099.2022.10000896

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In physical-layer security, communication secrecy is commonly achieved by providing the legitimate receiver a physical-layer advantage over the eavesdropper or, equivalently, by making the eavesdropper's channel more degraded than the legitimate receiver's, a setting traditionally known as the degraded wiretap channel. There may be situations, however, where such advantages cannot be guaranteed. One example is the wireless channel where the legitimate receiver's channel may be more degraded than the eavesdropper's owing to a deep fade (outage), additive interference at the edge of a network cell, etc. To our knowledge, such scenarios have not been remedied in the related literature. Thus, we propose in this work the first physical-layer security scheme that achieves communication in a setting where the eavesdropper has the physical-layer advantage over the legitimate receiver, a scenario that we call the reversely-degraded wiretap channel. Precisely, we show that by constraining the transmitter's input to be discrete uniformly distributed (such as an on-off keying modulation) and by using nonlinear threshold-based signal detection, the legitimate receiver is guaranteed to have a positive secrecy capacity even though the eavesdropper has a better signal-to-noise ratio (SNR). The former requirement on the input distribution is to limit the capacity gains of the eavesdropper at high SNR. The latter requirement allows the communication channel to exhibit supra-threshold stochastic resonance, a phenomenon whereby noise improves signal detection and increases the mutual information. A numerical example is provided to confirm our claims.

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The wiretap channel is a setting where one aims to obtain information-theoretic security of communicated data under the sole assumption that the channel from a sender Alice to an eavesdropper Eve is “noisier” than that from Alice to a receiver Bob. However, in practice, the difference between the two channels in terms of noise may be much smaller because of the wide spread application of high-performance communication technologies. Thus, establishing a wiretap channel over real channels is a challenging task. In this paper, we report a wiretap channel in the form of a “protocol” (a so-called virtual wiretap channel) realized by using a highly precise wireless clock-synchronization technology called the wireless two-way interferometry (abbreviated as Wi-Wi). Wi-Wi technology has already been implemented in wireless communication devices, and it measures the clock time difference and signal propagation time in a situation where the precisions of both values are mutually affected. That is, Alice or Bob can induce a noise on Eve's clock time difference measurement by physically introducing noise in the signal propagation time between Alice and Bob. We analyzed the proposed wiretap channel referred to as the Wi-Wi wiretap channel experimentally, and estimated its parameters (e.g., the error probabilities). We confirmed that the Wi-Wi wiretap channel works well as a virtual wiretap channel by simulating and experimentally demonstrating a well-known, provably secure, optimal wiretap code over it. The results show that Wi-Wi wiretap channel can serve as a physical layer security, useful for synchronized Internet of Things (IoT) devises.
Key agreement using physical layer properties of communication channels is a well studied problem. iJam is a physical layer key agreement protocol that achieves security by creating a “virtual” wiretap channel for the adversary through a subprotocol between the sender and the receiver that uses self-jamming by the receiver. The protocol was implemented and its security was shown through extensive experiments. The self-jamming subprotocol of iJam was later modelled as a wiretap channel and used for designing a secure message transmission protocol with provable security. We use the same wiretap model of the subprotocol to design secret key agreement protocols with provable security. We propose two protocols that use the wiretap channel once from Alice to Bob, and a protocol that uses two wiretap channels, one from Alice to Bob, and one in the opposite direction. We provide security proof and efficiency analysis for the protocols. The protocols effectively give physical layer security protocols that can be implemented and have provable security. We discuss our results and propose directions for future research.
Secret key agreement using physical properties of a wireless channel is becoming a promising scheme to establish a secret key between two users, especially in short-distance radio frequency (RF) communications. In this scheme, the existence of codes or key distillation that can make the leaked information to an eavesdropper arbitrarily small can be derived in an information theoretical way, given a priori knowledge on the channel linking a sender (Alice), a legitimate receiver (Bob), and an eavesdropper (Eve), which is called the wiretap channel. In practice, however, it is often difficult for Alice and Bob to get sufficient knowledge on Eve. In this study, we implement a free-space optical wiretap channel in a 7.8 km-terrestrial link and study how to estimate Eve's tapping ability, demonstrating high speed secret key agreement in the optical domain under a certain restricted condition of line-of-sight.
In this paper we propose a two-way protocol of physical layer security using the method of privacy amplification against eavesdroppers. First we justify our proposed protocol by analyzing the physical layer security provided by the classic wiretap channel model (i.e. one-way protocol). In the Gaussian channels, the classic one-way protocol requires Eve's channel to be degraded w.r.t. Bob's channel. However, this channel degradation condition depends on Eve's location and whether Eve's receiving antenna is more powerful than Bob's. To overcome this limitation, we introduce a two-way protocol inspired in IEEE TIT (1993) that eliminates the channel degradation condition. In the proposed two-way protocol, on a first phase, via Gaussian channel, Bob sends randomness to Alice, which is partially leaked to Eve. Then, on a second phase, Alice transmits information to Bob over a public noiseless channel. We derive the secrecy capacity of the two-way protocol when the channel to Eve is also Gaussian. We show that the capacity of the two-way protocol is always positive. We present numerical values of the capacities illustrating the gains obtained by our proposed protocol. We apply our result to simple yet realistic models of satellite communication channels.
Wyner [96] proved that unconditionally secure communication over noisy channels is possible if the wiretapping channel is noisier than the main channel. The work has developed the following belief: Physical-channel characteristics are great resources to build security functionalities in the information-theoretic framework. We follow this belief and investigate the three problems of secret key establishment, manipulation detection, and distance bounding verification over physical-layer channels. We investigate secret key establishment (SKE) between Alice and Bob when they are connected through a pair of noisy wiretap channels with leakage to Eve. Our results show the possibility of SKE even in cases where the main channels are noisier than Eve's channels. We then notice two implicit assumptions of this work: (i) local randomness is freely available, and (ii) the wiretap channels are independent. We remove Assumption (i) by considering no local randomness for the parties. The results appreciate the role of noise as a single resource for randomness derivation and key generation in this setting. Regarding the second assumption, we consider the general two-way wiretap channel, where simultaneous data transmission can help achieve higher key rates. We show under what condition our security requirements can be strengthened without sacrificing the SK capacity. We consider manipulation detection against physical-layer adversaries noticing their limitations. We define leakage-resilient algebraic manipulation detection (LR-AMD) codes and prove optimal LR-AMD code constructions in general and special leakage scenarios. We show two applications of these codes: (i) robust nonperfect secret sharing and (ii) manipulation detection over wiretap channels. We then discuss how these codes can be composed with other primitives to guarantee bitwise manipulation detection and SKE against active adversaries over binary wiretap channels. Distance bounding verification (DBV) allows a verifier to check an upper bound on a claimed distance from a prover. We study DBV over physical channels with security against distance fraud (DFA), ma a fraud (MFA) and terrorist fraud (TFA) attacks. We show efficient DFA- and MFA-secure protocols only using physical channel properties. We further prove that TFA-security becomes feasible if the parties' communication is limited by the bounded retrieval model (BRM).
This work considers the two way wiretap channel in which two legitimate users, Alice and Bob, wish to exchange messages securely in the presence of a passive eavesdropper Eve. In the full duplex scenario, where each node can transmit and receive simultaneously, we obtain new achievable secrecy rate regions based on the idea of allowing the two users to jointly optimize their channel prefixing distributions and binning codebooks; in addition to key sharing. The new regions are shown to be strictly larger than the known ones for a wide class of discrete memoryless and Gaussian channels. In the half duplex case, where a user can only transmit or receive on any given degree of freedom, we introduce the idea of randomized scheduling and establish the significant gain it offers in terms of the achievable secrecy sum-rate. We further develop an experimental setup based on a IEEE 802.15.4-enabled sensor boards to validate our theoretical analysis. Using this testbed, it is shown that one can exploit the two way nature of the communication, via appropriately randomizing the transmit power levels and transmission schedule, to introduce significant ambiguity at a noiseless Eve. To the best of our knowledge, this is one of the first attempts aiming towards building practical secrecy protocols inspired by information theoretic principles.
In physical-layer security, communication secrecy is commonly achieved by providing the legitimate receiver a physical-layer advantage over the eavesdropper or, equivalently, by making the eavesdropper's channel more degraded than the legitimate receiver's, a setting traditionally known as the degraded wiretap channel. There may be situations, however, where such advantages cannot be guaranteed. One example is the wireless channel where the legitimate receiver's channel may be more degraded than the eavesdropper's owing to a deep fade (outage), additive interference at the edge of a network cell, etc. To our knowledge, such scenarios have not been remedied in the related literature. Thus, we propose in this work the first physical-layer security scheme that achieves communication in a setting where the eavesdropper has the physical-layer advantage over the legitimate receiver, a scenario that we call the reversely-degraded wiretap channel. Precisely, we show that by constraining the transmitter's input to be discrete uniformly distributed (such as an on-off keying modulation) and by using nonlinear threshold-based signal detection, the legitimate receiver is guaranteed to have a positive secrecy capacity even though the eavesdropper has a better signal-to-noise ratio (SNR). The former requirement on the input distribution is to limit the capacity gains of the eavesdropper at high SNR. The latter requirement allows the communication channel to exhibit supra-threshold stochastic resonance, a phenomenon whereby noise improves signal detection and increases the mutual information. A numerical example is provided to confirm our claims.