Secure Transmission With Multiple Antennas-Part II: The MIMOME Wiretap Channel
Secure Transmission With Multiple Antennas-Part II: The MIMOME Wiretap Channel
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DOI：
10.1109/tit.2010.2068852
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发表时间：
2010-11-01
影响因子：
2.5
通讯作者：
Wornell, Gregory W.
中科院分区：
文献类型：
--
作者：
Khisti, Ashish;Wornell, Gregory W.
分析了在发送端、接收端和窃听端都有多根天线的情况下，高斯窃听信道模型的容量。相关联的信道矩阵是固定的并且对于所有终端是已知的。一个可计算的特征的保密能力建立作为鞍点解的极大极小问题。匡威的是基于在其他广播设置中使用的Sato型参数，和编码定理是基于高斯窃听codebooks.At高信噪比（SNR），保密容量被证明是通过同时对角化的信道矩阵通过广义奇异值分解，并独立编码跨产生的并行信道。相应的广义奇异值的相关能力表示。研究表明，半盲“掩蔽”多输入多输出（MIMO）传输策略，即沿沿着有增益的方向发送信息，沿沿着无增益的方向发送合成噪声，在这种体制下，可以任意远离容量，并给出了保密容量为零的充要条件，其简化了当信道矩阵的条目独立且相同分布时许多天线的限制。由此产生的比例定律确定，为了防止安全通信，窃听者需要发送者和预期接收者共同拥有的天线的三倍，并且发送者和预期接收者之间的天线的最佳划分比例为2：1。
The capacity of the Gaussian wiretap channel model is analyzed when there are multiple antennas at the sender, intended receiver and eavesdropper. The associated channel matrices are fixed and known to all the terminals. A computable characterization of the secrecy capacity is established as the saddle point solution to a minimax problem. The converse is based on a Sato-type argument used in other broadcast settings, and the coding theorem is based on Gaussian wiretap codebooks.At high signal-to-noise ratio (SNR), the secrecy capacity is shown to be attained by simultaneously diagonalizing the channel matrices via the generalized singular value decomposition, and independently coding across the resulting parallel channels. The associated capacity is expressed in terms of the corresponding generalized singular values. It is shown that a semi-blind "masked" multi-input multi-output (MIMO) transmission strategy that sends information along directions in which there is gain to the intended receiver, and synthetic noise along directions in which there is not, can be arbitrarily far from capacity in this regime.Necessary and sufficient conditions for the secrecy capacity to be zero are provided, which simplify in the limit of many antennas when the entries of the channel matrices are independent and identically distributed. The resulting scaling laws establish that to prevent secure communication, the eavesdropper needs three times as many antennas as the sender and intended receiver have jointly, and that the optimum division of antennas between sender and intended receiver is in the ratio of 2:1.