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arXiv 1804.07985cs.ITmath.IT
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瑞利环境下多个单比特收发器的容量

Capacity of Multiple One-Bit Transceivers in a Rayleigh Environment

Kang Gao, J. Nicholas Laneman, Bertrand Hochwald

摘要:

我们分析了一个系统的信道容量与大量的一位收发器在一个经典的瑞利环境中,在接收端的完美的信道信息。利用$M$发射机和$N=αM$接收机,我们推导出每个发射机的容量$\mathcal{C}$的表达式,其中$\mathcal{C}\leq\min(1,α)$,作为$α$和信噪比(SNR)$ρ$的函数,当$M\to\infty$。我们表明,我们的表达式是一个很好的近似小$M$,并提供简单的近似$\mathcal{C}$为各种范围的$α$和SNR $ρ$。我们的结论是,在高信噪比,$\mathcal{C}$达到其上限为1,只有当比率$α>1.24$。给出了用于确定$\mathcal{C}$何时“饱和”的表达式,该表达式是$α$和$ρ$的函数。

英文摘要:

We analyze the channel capacity of a system with a large number of one-bit transceivers in a classical Rayleigh environment with perfect channel information at the receiver. With $M$ transmitters and $N=αM$ receivers, we derive an expression of the capacity per transmitter $\mathcal{C}$, where $\mathcal{C}\leq\min(1,α)$, as a function of $α$ and signal-to-noise ratio (SNR) $ρ$, when $M\to\infty$. We show that our expression is a good approximation for small $M$, and provide simple approximations of $\mathcal{C}$ for various ranges of $α$ and SNR $ρ$. We conclude that at high SNR, $\mathcal{C}$ reaches its upper limit of one only if the ratio $α>1.24$. Expressions for determining when $\mathcal{C}$ "saturates" as a function of $α$ and $ρ$ are given.

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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