论文标题
来自矢量高斯来源的秘密密钥一代，带有公共和私人通信
Secret Key Generation from Vector Gaussian Sources with Public and Private Communications
论文作者
论文摘要
在本文中，我们考虑了通过利率有限的公共渠道和一个限制限制的安全渠道进行单向通信的秘密密钥生成问题，在该渠道中，公共渠道从爱丽丝到鲍勃和夏娃，而安全的渠道是从爱丽丝到鲍勃的。在此模型中，我们不会对来源构成任何限制，即Bob不会比Eve降解或更少。对于离散的无内存来源和向量高斯来源，我们在此问题中获得了最佳的秘密关键率。矢量高斯的特征是通过适当地应用增强论点并证明新的极端不平等来得出的。极端不平等可以看作是两种极端不等式的耦合，这与降解的复合Mimo Gaussian广播渠道以及Costa熵功率不平等的矢量概括有关。
In this paper, we consider the problem of secret key generation with one-way communication through both a rate-limited public channel and a rate-limited secure channels where the public channel is from Alice to Bob and Eve and the secure channel is from Alice to Bob. In this model, we do not pose any constraints on the sources, i.e. Bob is not degraded to or less noisy than Eve. We obtain the optimal secret key rate in this problem, both for the discrete memoryless sources and vector Gaussian sources. The vector Gaussian characterization is derived by suitably applying the enhancement argument, and Proving a new extremal inequality. The extremal inequality can be seen as coupling of two extremal inequalities, which are related to the degraded compound MIMO Gaussian broadcast channel, and the vector generalization of Costa's entropy power inequality, accordingly.
