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International Symposium on Information Theory and its Applications

Generalized multiple-access relay channel with confidential messages

Amir Sonee, Somayeh Salimi, Mahmoud Salmasizadeh

Published Oct 1, 2010• 0 citations
Publisher

Abstract

In this paper, we propose information theoretic schemes that achieve the rate-equivocation regions for the multiple-access relay channel with confidential messages. This channel consists of two users that play the role of eavesdropper for each other's message and a relay that helps them to have a reliable and secure communication. The relay can itself be an eavesdropper of the users messages. The first coding scheme used for achievability is noise forwarding strategy and the second is the combination of noise forwarding with the compress and forward strategy. In the first one, relay cooperates with the users to have a confidential communication by sending codewords independent of the secret messages. In the second one, in addition to sending independent codewords, relay also sends compressed version of the received signals. Using these schemes, we derive the inner bounds for the capacity-equivocation region of the described model.

DOI
10.1109/isita.2010.5649500

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In this paper, we propose an information-theoretic scheme which achieves a new rate-equivocation region for the four-terminal relay-eavesdropper channel. The coding scheme used to achieve this region is a combination of the partial decode and forward, compress and forward and noise forwarding strategies. In this strategy the relay cooperates with the source to have both a reliable and secure communication by decoding some part of the source message, compressing the received signal and also sending the codewords independent of the transmitted message. Using this scheme we can obtain the perfect secrecy capacity of the semi- deterministic and deterministic relay channels.
We investigate the effects of an additional relay node on the secrecy of broadcast channels by considering the model of relay broadcast channels with confidential messages. We show that this additional relay node can increase the achievable secrecy rate region of the broadcast channels with confidential messages. More specifically, first, we investigate the discrete memoryless relay broadcast channels with two confidential messages and one common message. Three inner bounds (with respect to decode-forward, generalized noise-forward and compress-forward strategies) and an outer bound on the capacity-equivocation region are provided. Removing the secrecy constraint, this outer bound can also be served as a new outer bound for the relay broadcast channel. Second, we investigate the discrete memoryless relay broadcast channels with two confidential messages (no common message). Inner and outer bounds on the capacity-equivocation region are provided. Then, we study the Gaussian case, and find that with the help of the relay node, the achievable secrecy rate region of the Gaussian broadcast channels with two confidential messages is enhanced. Finally, we investigate the discrete memoryless relay broadcast channels with one confidential message and one common message. This work generalizes Lai-Gamals work on the relay-eavesdropper channel by considering an additional common message for both the legitimate receiver and the eavesdropper. Inner and outer bounds on the capacity-equivocation region are provided, and the results are further explained via a Gaussian example. Compared with Csiszár-Körner’s work on broadcast channels with confidential messages (BCC), we find that with the help of the relay node, the secrecy capacity region of the Gaussian BCC is enhanced.
This paper establishes the utility of user cooperation in facilitating secure wireless communications. In particular, the four-terminal relay–eavesdropper channel is introduced and an outer-bound on the optimal rate-equivocation region is derived. Several cooperation strategies are then devised and the corresponding achievable rate-equivocation region are characterized. Of particular interest is the novel noise-forwarding (NF) strategy, where the relay node sends codewords independent of the source message to confuse the eavesdropper. This strategy is used to illustrate the deaf helper phenomenon, where the relay is able to facilitate secure communications while being totally ignorant of the transmitted messages. Furthermore, NF is shown to increase the secrecy capacity in the reversely degraded scenario, where the relay node fails to offer performance gains in the classical setting. The gain offered by the proposed cooperation strategies is then proved theoretically and validated numerically in the additive white Gaussian noise (AWGN) channel.
A simple four node network in which cooperation improves the information-theoretic secrecy is studied. The channel consists of two senders, a receiver, and an eavesdropper. One or both senders transmit confidential messages to the receiver, while the eavesdropper tries to decode the transmitted message. The main result is the derivation of a newly achievable rate-equivocation region that is shown to be larger than a rate-equivocation region derived by Lai and El Gamal for the relay-eavesdropper channel. When the rate of the helping interferer is zero, the new rate-equivocation region reduces to the capacity-equivocation region over the wire-tap channel; hence, the new achievability scheme can be seen as a generalization of a coding scheme proposed by Csiszár and Körner.
This paper considers the problem of secret communication over a multiple access channel with generalized feedback. Two trusted users send independent confidential messages to an intended receiver, in the presence of a passive eavesdropper. In this setting, an active cooperation between two trusted users is enabled through using channel feedback in order to improve the communication efficiency. Based on rate-splitting and decode-and-forward strategies, achievable secrecy rate regions are derived for both discrete memoryless and Gaussian channels. Results show that channel feedback improves the achievable secrecy rates.
This paper studies secure communication over the broadcast channels with an untrusted relay. The relay helps users with transmission in broadcast channels, but we also wish to keep the information secret against the relay. Compress-and-forward relaying is a potential strategy to achieve secrecy. We obtain the achievable rate-equivocation regions by combining it with Marton's coding scheme and Cover's superposition coding scheme respectively. The secrecy rate region based on Marton's coding scheme provides a general result, without knowing information regarding two users. If we know which user is better (i.e. receiving more information), we can design a simpler scheme with superposition encoding. Outer bound to the rate-equivocation regions is also provided in this paper.