In this paper, we investigate secure transmissions in integrated satellite-terrestrial communications and the green interference based symbiotic security scheme is proposed. Particularly, the co-channel interference induced by the spectrum sharing between satellite and terrestrial networks and the inter-beam interference due to frequency reuse among satellite multi-beam serve as the green interference to assist the symbiotic secure transmission, where the secure transmissions of both satellite and terrestrial links are guaranteed simultaneously. Specifically, to realize the symbiotic security, we formulate a problem to maximize the sum secrecy rate of satellite users by cooperatively beamforming optimizing and a constraint of secrecy rate of each terrestrial user is guaranteed. Since the formulated problem is non-convex and intractable, the Taylor expansion and semi-definite relaxation (SDR) are adopted to further reformulate this problem, and the successive convex approximation (SCA) algorithm is designed to solve it. Finally, the tightness of the relaxation is proved. In addition, numerical results verify the efficiency of our proposed approach.
翻译:在本文中,我们研究了综合卫星—地球通信的安全传输以及基于绿色干扰的共生安全计划。特别是,由于卫星和地面网络之间的频谱共享以及卫星多波束之间频率再利用引起的波束干扰而引发的共同通道干扰,成为协助共生安全传输的绿色干扰,同时保证卫星和地面连接的安全传输。具体地说,为了实现共生安全,我们提出了一个问题,即通过合作优化和限制每个地面用户的保密率,最大限度地提高卫星用户的总保密率。由于所提出的问题是非电离层和棘手的,泰勒的扩张和半定型放松(SDR)被采纳来进一步重新解决这一问题,而连续的convex近似算法是用来解决这个问题的。最后,放松的紧凑性得到了证明。此外,数字结果证实了我们拟议方法的效率。