This paper presents two secure transmission algorithms for millimeter-wave wireless communication, which are computationally attractive and have analytical solutions. In the proposed algorithms, we consider phased-array transmission structure and focus on phase shift keying (PSK) modulation. It is found that the traditional constellation synthesis problem can be solved with the aid of polygon construction in the complex plane. A detailed analysis is then carried out and an analytical procedure is developed to obtain a qualified phase solution. For a given synthesis task, it is derived that there exist infinite weight vector solutions under a mild condition. Based on this result, we propose the first secure transmission algorithm by varying the transmitting weight vector at symbol rate, thus resulting exact phases at the intended receiver and producing randomnesses at the undesired eavesdroppers. To improve the security without significantly degrading the symbol detection reliability for target receiver, the second secure transmission algorithm is devised by allowing a relaxed symbol region for the intended receiver. Compared to the first algorithm, the second one incorporates an additional random phase rotation operation to the transmitting weight vector and brings extra disturbance for the undesired eavesdroppers. Different from the existing works that are only feasible for the case of single-path mmWave channels, our proposed algorithms are applicable to more general multi-path channels. Moreover, all the antennas are active in the proposed algorithms and the on-off switching circuit is not needed. Simulations are presented to demonstrate the effectivenesses of the proposed algorithms under various situations.

中文翻译：

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通过多边形构造实现安全毫米波无线通信的相控阵传输

本文提出了两种用于毫米波无线通信的安全传输算法，它们在计算上具有吸引力并且具有解析解。在所提出的算法中，我们考虑了相控阵传输结构并专注于相移键控 (PSK) 调制。发现传统的星座合成问题可以借助复平面中的多边形构造来解决。然后进行详细分析并制定分析程序以获得合格的相溶液。对于给定的综合任务，推导出在温和条件下存在无限权向量解。基于这个结果，我们提出了第一个安全传输算法，通过以符号率改变传输权向量，从而在预期的接收者处产生精确的相位，并在不希望的窃听者处产生随机性。为了在不显着降低目标接收器的符号检测可靠性的情况下提高安全性，通过允许预期接收器的宽松符号区域来设计第二安全传输算法。与第一种算法相比，第二种算法在传输权向量中加入了额外的随机相位旋转操作，并给不希望的窃听者带来了额外的干扰。与仅适用于单径毫米波信道情况的现有工作不同，我们提出的算法适用于更通用的多径信道。此外，在所提出的算法中所有天线都处于活动状态，并且不需要开关电路。