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arXiv 1108.3544cs.ITcs.CRmath.IT
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矢量高斯信源的安全有损传输

Secure Lossy Transmission of Vector Gaussian Sources

Ersen Ekrem, Sennur Ulukus

摘要:

研究了在存在窃听者的情况下,当合法用户和窃听者都具有高斯边信息时,矢量高斯信源到合法用户的安全有损传输问题.发射机的目的是描述源的合法用户的方式,合法用户可以重建源在一定的失真水平,而窃听者保持无知的源尽可能多的含糊度测量。我们得到了这个安全的有损传输问题的速率,含糊度和失真区域的外边界。当传输速率约束被移除时,该外边界是紧的。换句话说,我们获得了最大的含糊在窃听时,合法用户需要重建源在一个固定的失真水平,而没有约束的传输速率。最大含糊度的这种表征涉及两个辅助随机变量。我们表明,一个非平凡的随机变量的选择可能是必要的一般。两个辅助随机变量的必要性还意味着,一般来说,Wyner-Ziv编码在窃听者存在的情况下是次优的。此外,我们表明,即使在合法的链路上没有速率约束,未编码的传输(确定性或随机性)是次优的;窃听者的存在需要使用编码方案,以达到最大的含糊性。

英文摘要:

We study the secure lossy transmission of a vector Gaussian source to a legitimate user in the presence of an eavesdropper, where both the legitimate user and the eavesdropper have vector Gaussian side information. The aim of the transmitter is to describe the source to the legitimate user in a way that the legitimate user can reconstruct the source within a certain distortion level while the eavesdropper is kept ignorant of the source as much as possible as measured by the equivocation. We obtain an outer bound for the rate, equivocation and distortion region of this secure lossy transmission problem. This outer bound is tight when the transmission rate constraint is removed. In other words, we obtain the maximum equivocation at the eavesdropper when the legitimate user needs to reconstruct the source within a fixed distortion level while there is no constraint on the transmission rate. This characterization of the maximum equivocation involves two auxiliary random variables. We show that a non-trivial selection for both random variables may be necessary in general. The necessity of two auxiliary random variables also implies that, in general, Wyner-Ziv coding is suboptimal in the presence of an eavesdropper. In addition, we show that, even when there is no rate constraint on the legitimate link, uncoded transmission (deterministic or stochastic) is suboptimal; the presence of an eavesdropper necessitates the use of a coded scheme to attain the maximum equivocation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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