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A Secrecy Constrained Power Allocation for MIMO Wire-Tap Channels

Mauro Biagi, Enzo Baccarelli, Valentina Polli, Tatiana Patriarca, N. CORDESCHI

Published Jan 1, 2009• 1 citation
OpenAlex

Abstract

Since a wireless transmission requires to access to a shared medium, the communication is susceptible to adversarial eavesdropping. This paper describes how eavesdropping can potentially be limited by resorting to waterfilling-like algorithms with additional constraints. A Gaussian wiretap channel (WTC) is considered in which a transmitter sends confidential messages to its reference receiver in the presence of a passive eavesdropper. We approach the problem from two different perspectives, focusing either on the rate of the main link or the secrecy level. Through numerical analysis, we show how the information-secrecy regions can be the means to evaluate the quality of the main link and the secrecy level, resulting from our algorithms application. Finally we analyze the case of interfering signals (induced by users sharing the same transmission resource) to show their effects on both information rate and secrecy, even in the case of an eavesdropper able to mitigate the interference.

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Since a wireless transmission requires to access to a shared medium, the communication is susceptible to adversarial eavesdropping. This paper describes how eavesdropping can potentially be limited by resorting to waterfilling-like algorithms with additional constraints. A Gaussian wiretap channel (WTC) is considered in which a transmitter sends confidential messages to its reference receiver in the presence of a passive eavesdropper. We approach the problem from two different perspectives, focusing either on the rate of the main link or the secrecy level. Through numerical analysis, we show how the information-secrecy regions can be the means to evaluate the quality of the main link and the secrecy level, resulting from our algorithms application. Finally we analyze the case of interfering signals (induced by users sharing the same transmission resource) to show their effects on both information rate and secrecy, even in the case of an eavesdropper able to mitigate the interference.
Wireless transmission requires the access to a shared medium, so the communication may be susceptible to adversarial eavesdropping. This paper describes how eavesdropping can potentially be limited by resorting to waterfilling-like algorithms by introducing additional constraints. A Gaussian Wire-Tap Channel (WTC) has been considered as the channel in which a transmitter sends confidential messages to its reference receiver in the presence of a passive eavesdropper. In the more general context of an ad-hoc network, we propose two different Space Division Multiple Access (SDMA) techniques by paying attention to the rate of the main link and to secrecy level. Through numerical analysis, we show the information-secrecy regions to evaluate the quality of main link and secrecy level that the algorithms can allow when constrained SDMA is considered. Finally, we evaluate the effect of interference (induced by users sharing the same transmission resource) to evaluate the effect of disturbing signals on information rate and secrecy.
Due to the broadcast nature of the wireless medium, wireless communication is susceptible to adversarial eavesdropping. This paper describes how eavesdropping can potentially be defeated by exploiting the superposition nature of the wireless medium. A Gaussian wire-tap channel with a helping interferer (WTC-HI) is considered in which a transmitter sends confidential messages to its intended receiver in the presence of a passive eavesdropper and with the help of an interferer. The interferer, which does not know the confidential message assists the confidential message transmission by sending a signal that is independent of the transmitted message. An achievable secrecy rate and a Sato-type upper bound on the secrecy capacity are given for the Gaussian WTC-HI. Through numerical analysis, it is found that the upper bound is close to the achievable secrecy rate when the interference is weak for symmetric interference channels, and under more general conditions for asymmetric Gaussian interference channels.
Wireless communication is susceptible to adversarial eavesdropping due to the broadcast nature of the wireless medium. In this paper it is shown how eavesdropping can be alleviated by exploiting the superposition property of the wireless medium. A wiretap channel with a helping interferer (WT-HI), in which a transmitter sends a confidential message to its intended receiver in the presence of a passive eavesdropper, and with the help of an independent interferer, is considered. The interferer, which does not know the confidential message, helps in ensuring the secrecy of the message by sending independent signals. An achievable secrecy rate for the WT-HI is given. The results show that interference can be exploited to assist secrecy in wireless communications. An important example of the Gaussian case, in which the interferer has a better channel to the intended receiver than to the eavesdropper, is considered. In this situation, the interferer can send a (random) codeword at a rate that ensures that it can be decoded and subtracted from the received signal by the intended receiver but cannot be decoded by the eavesdropper. Hence, only the eavesdropper is interfered with and the secrecy level of the confidential message is increased.
Wireless communication is susceptible to eavesdropping attacks because of its broadcast nature. This paper illustrates how interference can be used to counter eavesdropping and assist secrecy. In particular, a wiretap channel with a helping interferer (WT-HI) is considered. Here, a transmitter sends a confidential message to its intended receiver in the presence of a passive eavesdropper and with the help of an independent interferer. The interferer, which does not know the confidential message, helps in ensuring the secrecy of the message by sending an independent signal. An achievable secrecy rate and several computable outer bounds on the secrecy capacity of the WT-HI are given for both discrete memoryless and Gaussian channels.
We consider the General Gaussian Multiple Access Wire-Tap Channel (GGMAC-WT). In this scenario, multiple users communicate with an intended receiver in the presence of an intelligent and informed eavesdropper. We define two suitable secrecy measures, termed individual and collective, to reflect the confidence in the system for this multi-access environment. We determine achievable rates such that secrecy to some pre-determined degree can be maintained, using Gaussian codebooks. We also find outer bounds for the case when the eavesdropper receives a degraded version of the intended receiver's signal. In the degraded case, Gaussian codewords are shown to achieve the sum capacity for collective constraints. In addition, a TDMA scheme is shown to also achieve sum capacity for both sets of constraints. Numerical results showing the new rate region are presented and compared with the capacity region of the Gaussian Multiple-Access Channel (GMAC) with no secrecy constraints. We then find the secrecy sum-rate maximizing power allocations for the transmitters, and show that a cooperative jamming scheme can be used to increase achievable rates in this scenario.
Privacy is a critical issue when communicating over shared mediums. A fundamental model for the information-theoretic analysis of secure communications is the wiretap channel (WTC), which consists of a communicating pair and an eavesdropper. In this work we study the secrecy capacity of Gaussian multiple-input multiple-output (MIMO) WTCs with finite memory. These channels are very common in wireless communications as well as in wireline communications (e.g., in power line communications). We derive a closed-form expression for the secrecy capacity of the MIMO Gaussian WTC with finite memory via the analysis of an equivalent block-memoryless model, which is transformed into a set of parallel independent memoryless MIMO WTCs. The secrecy capacity is expressed as the maximization over the input covariance matrices in the frequency domain. Finally, we show that for the Gaussian scalar WTC with finite memory, the secrecy capacity can be obtained by waterfilling.