Capacity Results for Relay Channels with Confidential Messages
Capacity Results for Relay Channels with Confidential Messages
复制标题
具有机密消息的中继通道的容量结果
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
Shun Watanabe
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文献类型：
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作者：
Y. Oohama;Shun Watanabe
我们考虑一个通信系统，其中中继有助于从{a}发送者到{a}接收者的消息传输。中继不仅被认为是一个助手，但作为一个窃听器谁可以获得一些有关传输信息的知识。在本文中，我们研究了一个中继信道与机密消息（RCC），发送者试图发送公共信息的接收器和中继，也有私人信息的接收器和机密的中继。对中继器保密的私人信息的保密级别由含糊率来测量，即，以中继器处的信道输出为条件的私有信息的熵速率。RCC的性能指标是利率三元组，包括共同利率、私人利率和含糊率作为组成部分。速率模糊区域由所有这些可实现速率三元组组成的集合定义。本文给出了速率模糊区的两种定义。我们首先定义了确定性编码器情况下的速率模糊区域，称之为确定性速率模糊区域。其次，我们定义了随机编码器情况下的速率模糊区域，称之为随机速率模糊区域。我们推导出明确的内部和外部边界的上述两个区域。在确定性/随机速率模糊区域，我们提出了两类中继信道的内外界匹配。我们还评估了高斯RCC的确定性和随机率模糊区域。
We consider a communication system where a relay helps transmission of messages from {a} sender to {a} receiver. The relay is considered not only as a helper but as a wire-tapper who can obtain some knowledge about transmitted messages. In this paper we study a relay channel with confidential messages(RCC), where a sender attempts to transmit common information to both a receiver and a relay and also has private information intended for the receiver and confidential to the relay. The level of secrecy of private information confidential to the relay is measured by the equivocation rate, i.e., the entropy rate of private information conditioned on channel outputs at the relay. The performance measure of interest for the RCC is the rate triple that includes the common rate, the private rate, and the equivocation rate as components. The rate-equivocation region is defined by the set that consists of all these achievable rate triples. In this paper we give two definitions of the rate-equivocation region. We first define the rate-equivocation region in the case of deterministic encoder and call it the deterministic rate-equivocation region. Next, we define the rate-equivocation region in the case of stochastic encoder and call it the stochastic rate-equivocation region. We derive explicit inner and outer bounds for the above two regions. On the deterministic/stochastic rate-equivocation region we present two classes of relay channels where inner and outer bounds match. We also evaluate the deterministic and stochastic rate-equivocation regions of the Gaussian RCC.