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arXiv 1301.2180cs.ITmath.IT
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衰落信道的流式DMT

The Streaming-DMT of Fading Channels

Ashish Khisti, Stark Draper

摘要:

我们考虑在块衰落多输入多输出(MIMO)信道上的消息流的顺序传输。新消息到达每个相干块的开始,并且在延迟$T$相干块之后,要求解码器顺序地输出每个消息。在当$T=1$时的特殊情况下,建立简化为准静态衰落信道。我们建立了最佳的分集复用折衷(DMT)在高信号噪声比(SNR)制度,并表明它等于$T$倍的DMT的准静态信道。相反的是基于利用延迟约束来放大与消息相关联的局部中断事件,全局地跨越所有相干块。这种方法似乎是新的。我们提出了两种编码方案,实现最佳DMT。第一种方案涉及消息的交织,使得每个消息跨$T$连续的相干块发送。该方案需要在编码器和解码器处的延迟约束的知识。我们的第二编码方案涉及顺序树码并且是延迟通用的,即,编码器不需要知道解码延迟。然而,在该方案中,我们要求相干块长度增加为$\log\mathrm{({SNR})}$,以获得最佳DMT。最后,我们讨论的情况下,当多个消息到达均匀的时间间隔{ \em内}每个相干周期。通过一个简单的例子,我们展示了次优交织,并提出了另一种方案,实现最佳DMT。

英文摘要:

We consider the sequential transmission of a stream of messages over a block-fading multi-input-multi-output (MIMO) channel. A new message arrives at the beginning of each coherence block, and the decoder is required to output each message sequentially, after a delay of $T$ coherence blocks. In the special case when $T=1$, the setup reduces to the quasi-static fading channel. We establish the optimal diversity-multiplexing tradeoff (DMT) in the high signal-to-noise-ratio (SNR) regime, and show that it equals $T$ times the DMT of the quasi-static channel. The converse is based on utilizing the delay constraint to amplify a local outage event associated with a message, globally across all the coherence blocks. This approach appears to be new. We propose two coding schemes that achieve the optimal DMT. The first scheme involves interleaving of messages, such that each message is transmitted across $T$ consecutive coherence blocks. This scheme requires the knowledge of the delay constraint at both the encoder and decoder. Our second coding scheme involves a sequential tree code and is delay-universal i.e., the knowledge of the decoding delay is not required by the encoder. However, in this scheme we require the coherence block-length to increase as $\log\mathrm{({SNR})}$, in order to attain the optimal DMT. Finally, we discuss the case when multiple messages arrive at uniform intervals {\em within} each coherence period. Through a simple example we exhibit the sub-optimality of interleaving, and propose another scheme that achieves the optimal DMT.

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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