We propose a novel physical layer security scheme that exploits an optimization method as a one-way function. The proposed scheme builds on nonsquare differential multiple-input multiple-output (MIMO), which is capable of noncoherent detection even in massive MIMO scenarios and thus resilient against risky pilot insertion and pilot contamination attacks. In contrast to conventional nonsquare differential MIMO schemes, which require space-time projection matrices designed via highly complex, discrete, and combinatorial optimization, the proposed scheme utilizes projection matrices constructed via low-complexity continuous optimization designed to maximize the coding gain of the system. Furthermore, using a secret key generated from the true randomness nature of the wireless channel as an initial value, the proposed continuous optimization-based projection matrix construction method becomes a one-way function, making the proposed scheme a physical layer secure differential MIMO system. An attack algorithm to challenge the proposed scheme is also devised, which demonstrates that the security level achieved improves as the number of transmit antennas increases, even in an environment where the eavesdropper can perfectly estimate channel coefficients and experience asymptotically large signal-to-noise ratios.

中文翻译：

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具有嵌入式单向函数物理层安全性的非相干大规模 MIMO

我们提出了一种新颖的物理层安全方案，该方案将优化方法用作单向函数。所提出的方案建立在非方差分多输入多输出 (MIMO) 的基础上，即使在大规模 MIMO 场景中也能够进行非相干检测，从而抵御风险导频插入和导频污染攻击。与需要通过高度复杂、离散和组合优化设计的时空投影矩阵的传统非方差分 MIMO 方案相比，所提出的方案利用通过低复杂度连续优化构建的投影矩阵，旨在最大化系统的编码增益。此外，使用从无线信道的真实随机性生成的密钥作为初始值，所提出的基于连续优化的投影矩阵构建方法变为单向函数，使所提出的方案成为物理层安全差分MIMO系统。还设计了一种攻击算法来挑战所提出的方案，这表明即使在窃听者可以完美估计信道系数并体验渐近大信噪比的环境中，随着发射天线数量的增加，所达到的安全级别也会提高.