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arXiv 1506.04643cs.ITmath.IT
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衰落信道上的异步通信与加性噪声

Asynchronous Communication over a Fading Channel and Additive Noise

R. M. Sundaram, Devendra Jalihal, Venkatesh Ramaiyan

摘要:

在\cite{Chandar2008}中,Quinar等人研究了在$A$时隙之间随机且均匀地发送的帧的顺序帧同步问题。对于离散无记忆信道(DMC),他们证明了帧长度$N$必须缩放为$e^{α(Q)N}>A$,以使帧检测误差随着$A$渐近地变为零。$α(Q)$是同步阈值,$Q$是信道转移概率。本文研究了衰落信道和加性噪声环境下的序列帧同步问题,并试图消除衰落的影响。对于离散ON-OFF衰落信道(具有ON概率$p$)和加性噪声(具有信道转移概率$Q_n$),我们给出了复合信道$α(Q)$的同步门限,并证明了$α(Q)\leq p\,α(Q_n)$ .然后,我们表征的同步阈值瑞利衰落和AWGN信道作为信道参数的函数。异步框架允许在同步帧长度$N$和信道$Q$之间进行折衷以支持同步。这允许我们用同步帧能量而不是同步帧长度来表征同步阈值。

英文摘要:

In \cite{Chandar2008}, Chandar et al studied a problem of sequential frame synchronization for a frame transmitted randomly and uniformly among $A$ slots. For a discrete memory-less channel (DMC), they showed that the frame length $N$ must scale as $e^{α(Q)N}>A$ for the frame detection error to go to zero asymptotically with $A$. $α(Q)$ is the synchronization threshold and $Q$ is channel transition probability. We study the sequential frame synchronisation problem for a fading channel and additive noise and seek to characterise the effect of fading. For a discrete ON-OFF fading channel (with ON probability $p$) and additive noise (with channel transition probabilities $Q_n$), we characterise the synchronisation threshold of the composite channel $α(Q)$ and show that $α(Q)\leq p\,α(Q_n)$. We then characterize the synchronization threshold for Rayleigh fading and AWGN channel as a function of channel parameters. The asynchronous framework permits a trade-off between sync frame length, $N$, and channel, $Q$, to support asynchronism. This allows us to characterize the synchronization threshold with sync frame energy instead of sync frame length.

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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