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arXiv 1502.02647cs.ITcs.CRmath.IT
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交替CSIT的两用户MISO广播信道的安全自由度域

Secure Degrees of Freedom Region of the Two-User MISO Broadcast Channel with Alternating CSIT

Pritam Mukherjee, Ravi Tandon, Sennur Ulukus

摘要:

研究了具有保密消息的两用户多输入单输出(MISO)广播信道(BCCM),其中来自每个用户的发射机处的信道状态信息(CSIT)的性质可以是$I_{i}$、$i=1,2$的形式,其中$I_{1}, I_{2}\in \{\mathsf{P}, \mathsf{D}, \mathsf{N}\}$和$\mathsf{P}$、$\mathsf{D}$和$\mathsf{N}$的形式分别对应于完全瞬时、完全延迟和无CSIT。因此,整个CSIT可以在与$I_{1}I_{2}$的所有可能值相对应的$9$可能状态之间交替,每个状态出现总持续时间的$λ_{I_{1}I_{2}}$部分。本文的主要贡献是建立了安全自由度(s.d.o.f.)区域的MISO BCCM与交替CSIT与对称性假设,其中$λ_{I_{1} I_{2}}=λ_{I_{2}I_{1}}$。主要的技术贡献包括:a)开发新的可实现的MISO BCCM方案,其中交替CSIT与安全约束,还强调了状态间编码的协同效益,b)通过本地统计等价和信道增强的新的逆向证明;以及c)显示信道知识的各个方面之间的相互作用及其对s.d.o.f.的影响。

英文摘要:

The two user multiple-input single-output (MISO) broadcast channel with confidential messages (BCCM) is studied in which the nature of channel state information at the transmitter (CSIT) from each user can be of the form $I_{i}$, $i=1,2$ where $I_{1}, I_{2}\in \{\mathsf{P}, \mathsf{D}, \mathsf{N}\}$, and the forms $\mathsf{P}$, $\mathsf{D}$ and $\mathsf{N}$ correspond to perfect and instantaneous, completely delayed, and no CSIT, respectively. Thus, the overall CSIT can alternate between $9$ possible states corresponding to all possible values of $I_{1}I_{2}$, with each state occurring for $λ_{I_{1}I_{2}}$ fraction of the total duration. The main contribution of this paper is to establish the secure degrees of freedom (s.d.o.f.) region of the MISO BCCM with alternating CSIT with the symmetry assumption, where $λ_{I_{1} I_{2}}=λ_{I_{2}I_{1}}$. The main technical contributions include developing a) novel achievable schemes for MISO BCCM with alternating CSIT with security constraints which also highlight the synergistic benefits of inter-state coding for secrecy, b) new converse proofs via local statistical equivalence and channel enhancement; and c) showing the interplay between various aspects of channel knowledge and their impact on s.d.o.f.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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