In this paper, we consider the physical layer (PHY) security problem for hybrid wiretapping wireless systems in millimeter wave transmission, where active eavesdroppers (AEs) and passive eavesdroppers (PEs) coexist to intercept the confidential messages and emit jamming signals. To achieve secure and reliable transmission, we propose an artificial noise (AN)-aided robust multi-beam array transceiver scheme. Leveraging beamforming, we aim to minimize transmit power by jointly designing the information and AN beamforming, while satisfying valid reception for legitimate users (LUs), per-antenna power constraints for transmitter, as well as all interception power constraints for eavesdroppers (Eves). In particular, the interception power formulation is taken into account for protecting the information against hybrid Eves with imperfect AE channel state information (CSI) and no PE CSI. In light of the intractability of the problem, we reformulate the considered problem by replacing non-convex constraints with tractable forms. Afterwards, a two-stage algorithm is developed to obtain the optimal solution. Additionally, we design the received beamforming weights by means of minimum variance distortionless response, such that the jamming caused by AEs can be effectively suppressed. Simulation results demonstrate the superiority of our proposed scheme in terms of energy efficiency and security.

中文翻译：

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用于混合窃听系统的稳健多波束安全毫米波无线通信

在本文中，我们考虑了毫米波传输中混合窃听无线系统的物理层 (PHY) 安全问题，其中主动窃听者 (AE) 和被动窃听者 (PE) 共存以拦截机密消息并发射干扰信号。为了实现安全可靠的传输，我们提出了一种人工噪声 (AN) 辅助的鲁棒多波束阵列收发器方案。利用波束成形，我们的目标是通过联合设计信息和 AN 波束成形来最小化发射功率，同时满足合法用户 (LU) 的有效接收、发射机的每天线功率限制以及窃听者 (Eves) 的所有拦截功率限制。尤其，考虑了拦截功率公式，以保护信息免受具有不完善的 AE 信道状态信息 (CSI) 和没有 PE CSI 的混合 Eves 的影响。鉴于问题的难处理性，我们通过用易处理的形式替换非凸约束来重新表述所考虑的问题。之后，开发了两阶段算法以获得最优解。此外，我们通过最小方差无失真响应设计接收波束形成权重，从而可以有效抑制由AE引起的干扰。仿真结果证明了我们提出的方案在能源效率和安全性方面的优越性。我们通过用易于处理的形式替换非凸约束来重新表述所考虑的问题。之后，开发了两阶段算法以获得最优解。此外，我们通过最小方差无失真响应设计接收波束形成权重，从而可以有效抑制由AE引起的干扰。仿真结果证明了我们提出的方案在能源效率和安全性方面的优越性。我们通过用易于处理的形式替换非凸约束来重新表述所考虑的问题。之后，开发了两阶段算法以获得最优解。此外，我们通过最小方差无失真响应设计接收波束形成权重，从而可以有效抑制由AE引起的干扰。仿真结果证明了我们提出的方案在能源效率和安全性方面的优越性。