Fundamental Limits of Communication With Low Probability of Detection

Abstract : This paper considers the problem of communication over a discrete memoryless channel (DMC) or an additive white Gaussian noise (AWGN) channel subject to the constraint that the probability that an adversary who observes the channel outputs can detect the communication is low. In particular, the relative entropy between the output distributions when a codeword is transmitted and when no input is provided to the channel must be sufficiently small. For a DMC whose output distribution induced by the " off " input symbol is not a mixture of the output distributions induced by other input symbols, it is shown that the maximum amount of information that can be transmitted under this criterion scales like the square root of the blocklength. The same is true for the AWGN channel. Exact expressions for the scaling constant are also derived.
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IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2016, 62 (6), pp.3493-3503. 〈10.1109/TIT.2016.2548471〉
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Soumis le : mercredi 20 juillet 2016 - 10:24:45
Dernière modification le : jeudi 3 mai 2018 - 15:18:05

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Ligong Wang, Gregory Wornell, Lizhong Zheng. Fundamental Limits of Communication With Low Probability of Detection. IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2016, 62 (6), pp.3493-3503. 〈10.1109/TIT.2016.2548471〉. 〈hal-01345907〉

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