The amount of sensitive data, which is transmitted wirelessly will increase with future technologies. This raises many questions about secure data transmission. Besides cryptography, information-theoretic security gained increasing attention over the recent years. Among others, it deals with the problem of secure data transmission on the physical layer to a legitimate receiver (Bob) in the presence of an eavesdropper (Eve). In this work, we investigate upper and lower bounds on the secrecy outage probability for slowly-fading wiretap channels with an arbitrary dependency structure between the fading channels to Bob and Eve. Both cases of absence of channel-state information at the transmitter (CSI-T) and availability of CSI-T of only the main channel to the legitimate receiver are considered. Furthermore, we derive explicit expressions for the upper and lower bounds for Rayleigh fading and compare them to the case of independent channels. The joint distribution of the legitimate and eavesdropper channels has a tremendous impact on the achievable secrecy outage probability. The bounds enable developing guaranteed secrecy schemes by only measuring the marginal channel distributions.

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相关衰落信道保密中断概率的界限


随着未来技术的发展，无线传输的敏感数据量将会增加。这引发了许多有关安全数据传输的问题。除了密码学之外，信息论安全近年来也受到越来越多的关注。其中，它处理在存在窃听者（Eve）的情况下在物理层上向合法接收者（Bob）安全传输数据的问题。在这项工作中，我们研究了缓慢衰落窃听通道的保密中断概率的上限和下限，其中鲍勃和夏娃的衰落通道之间具有任意依赖结构。考虑发射机处缺乏信道状态信息 (CSI-T) 和仅主信道的 CSI-T 到合法接收机的可用性的两种情况。此外，我们推导了瑞利衰落的上限和下限的显式表达式，并将它们与独立信道的情况进行比较。合法通道和窃听通道的联合分配对可实现的保密中断概率具有巨大影响。该界限使得能够通过仅测量边际通道分布来开发有保证的保密方案。