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

机译:双用户mIsO广播信道的安全自由度区域   与交替的CsIT

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摘要

The two user multiple-input single-output (MISO) broadcast channel withconfidential messages (BCCM) is studied in which the nature of channel stateinformation 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 statescorresponding to all possible values of $I_{1}I_{2}$, with each state occurringfor $\lambda_{I_{1}I_{2}}$ fraction of the total duration. The maincontribution 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 symmetryassumption, where $\lambda_{I_{1} I_{2}}=\lambda_{I_{2}I_{1}}$. The main technical contributions include developing a) novel achievableschemes for MISO BCCM with alternating CSIT with security constraints whichalso 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 andtheir impact on s.d.o.f.
机译:研究了带有机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(CSIT)的信道状态信息的性质可以为$ I_ {i} $,$ i = 1,2 $,其中$ I_ {1},I_ {2} \在\ {\ mathsf {P},\ mathsf {D},\ mathsf {N} \} $中,形式为$ \ mathsf {P } $,$ \ mathsf {D} $和$ \ mathsf {N} $分别对应于完美和瞬时,完全延迟且没有CSIT。因此,总体CSIT可以在$ 9 $可能的状态之间交替,对应于$ I_ {1} I_ {2} $的所有可能值,每个状态发生的$ \ lambda_ {I_ {1} I_ {2}} $占总数的一部分持续时间。本文的主要贡献是通过具有对称假设的交替CSIT建立MISO BCCM的安全自由度(sdof)区域,其中$ \ lambda_ {I_ {1} I_ {2}} = \ lambda_ {I_ {2} I_ {1}} $。主要技术贡献包括:a)为MISO BCCM开发新的可实现方案,并在具有安全约束的情况下交替CSIT,这也突显了州际编码保密的协同优势; b)通过局部统计等效性和通道增强提供了新的逆向证明;以及c)显示了渠道知识各个方面之间的相互作用及其对sdof的影响

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