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arXiv 1010.0937cs.ITmath.IT
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MIMO K路中继信道上加密消息的信号空间对齐和连续网络码解码

Signal Space Alignment for an Encryption Message and Successive Network Code Decoding on the MIMO K-way Relay Channel

Namyoon Lee, Joohwan Chun

摘要:

本文研究了多输入多输出(MIMO)高斯无线网络的$K$ -用户和一个中间中继$M$天线的网络信息流问题。在该网络中,每个用户打算向所有其他用户传送多播消息,同时经由中间中继从其他用户接收$K-1$独立消息。该网络信息流被称为MIMO高斯$K$路中继信道。对于这个通道,我们表明,$\frac{K}{2}$自由度是可以实现的,如果$M=K-1$。为了证明这一点,我们提出了一个编码和解码策略的灵感来自密码学理论。所提出的编码和解码策略涉及用于多址接入阶段(MAC)的\textit{signal space alignment for an encryption message}和用于广播(BC)阶段的\textit{zero forcing with successive network code decoding}。\emph{signal space alignment for an encryption message}的思想是所有用户合作地选择预编码向量来发送消息,使得中继器可以接收具有特殊结构\textit{network code chain structure}的适当加密消息。在BC阶段期间,\emph{zero forcing combined with successive network code decoding}使所有用户能够解密来自中继的加密消息,尽管事实上他们都具有不同的自身信息,他们将其用作密钥。

英文摘要:

This paper investigates a network information flow problem for a multiple-input multiple-output (MIMO) Gaussian wireless network with $K$-users and a single intermediate relay having $M$ antennas. In this network, each user intends to convey a multicast message to all other users while receiving $K-1$ independent messages from the other users via an intermediate relay. This network information flow is termed a MIMO Gaussian $K$-way relay channel. For this channel, we show that $\frac{K}{2}$ degrees of freedom is achievable if $M=K-1$. To demonstrate this, we come up with an encoding and decoding strategy inspired from cryptography theory. The proposed encoding and decoding strategy involves a \textit{signal space alignment for an encryption message} for the multiple access phase (MAC) and \textit{zero forcing with successive network code decoding} for the broadcast (BC) phase. The idea of the \emph{signal space alignment for an encryption message} is that all users cooperatively choose the precoding vectors to transmit the message so that the relay can receive a proper encryption message with a special structure, \textit{network code chain structure}. During the BC phase, \emph{zero forcing combined with successive network code decoding} enables all users to decipher the encryption message from the relay despite the fact that they all have different self-information which they use as a key.

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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