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The Streaming-DMT of Fading Channels

机译：衰落信道的流式DMT

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摘要

We consider the sequential transmission of a stream of messages over a block-fading multi-input-multi-output 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 coherence blocks. In the special case when , 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 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 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 , in order to attain the optimal DMT. Finally, we discuss the case when multiple messages arrive at uniform intervals within each coherence period. Through a simple example, we exhibit the suboptimality of interleaving and propose another scheme that achieves the optimal DMT.
机译：我们考虑通过块渐变多输入多输出通道上的消息流的顺序传输。新消息到达每个一致性块的开始，并且在延迟了一致性块之后，要求解码器顺序输出每个消息。在特殊情况下，设置减少为准静态衰落信道。我们在高信噪比（SNR）方案中建立了最佳的分集复用权衡（DMT），并表明它等于准静态信道DMT的倍数。反之则是基于利用延迟约束来在所有相干块上全局地放大与消息关联的本地中断事件。这种方法似乎是新的。我们提出了两种实现最佳DMT的编码方案。第一种方案涉及消息的交织，使得每个消息在连续的相干块之间传输。该方案需要了解编码器和解码器的延迟约束。我们的第二种编码方案包括顺序树码，并且是延迟通用的，即编码器不需要知道解码延迟。但是，在此方案中，我们要求相干块长度增加，以达到最佳DMT。最后，我们讨论在每个相干周期内多个消息以相同的间隔到达的情况。通过一个简单的例子，我们展示了交织的次优性，并提出了另一种实现最佳DMT的方案。

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