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arXiv 0809.1039cs.ITmath.IT
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突发时延受限信息中断受限通信的高信噪比分析

High-SNR Analysis of Outage-Limited Communications with Bursty and Delay-Limited Information

Somsak Kittipiyakul, Petros Elia, Tara Javidi

摘要:

这项工作分析了高信噪比的渐近误差性能的超时有限的通信衰落,在任何时隙期间到达发射机的位数是随机的,但在接收机的位的交付必须遵守严格的延迟限制。具体地,比特错误是由接收机处的错误解码或违反严格的延迟约束引起的。在信噪比与比特到达过程的统计量成一定比例的情况下,本文证明了比特错误的渐近总概率的最佳衰减行为取决于源的突发性随信噪比成比例下降的速度。如果源突发性缩小得太慢,则错误的总概率渐近地由延迟违反事件主导。另一方面,如果源突发性缩减得太快,则错误的总概率渐近地由信道错误事件主导。然而,在适当的缩放,其中突发性与1/sqrt(对数SNR)线性缩放,并在最佳的编码持续时间和传输速率,信道错误和延迟违规错误的发生是渐近平衡的。在后一种情况下,错误的总概率的最佳指数揭示了一个权衡,解决了多少的可允许的时间和速率应该被用于获得可靠性的信道和多少用于适应突发与延迟约束的问题。

英文摘要:

This work analyzes the high-SNR asymptotic error performance of outage-limited communications with fading, where the number of bits that arrive at the transmitter during any time slot is random but the delivery of bits at the receiver must adhere to a strict delay limitation. Specifically, bit errors are caused by erroneous decoding at the receiver or violation of the strict delay constraint. Under certain scaling of the statistics of the bit-arrival process with SNR, this paper shows that the optimal decay behavior of the asymptotic total probability of bit error depends on how fast the burstiness of the source scales down with SNR. If the source burstiness scales down too slowly, the total probability of error is asymptotically dominated by delay-violation events. On the other hand, if the source burstiness scales down too quickly, the total probability of error is asymptotically dominated by channel-error events. However, at the proper scaling, where the burstiness scales linearly with 1/sqrt(log SNR) and at the optimal coding duration and transmission rate, the occurrences of channel errors and delay-violation errors are asymptotically balanced. In this latter case, the optimal exponent of the total probability of error reveals a tradeoff that addresses the question of how much of the allowable time and rate should be used for gaining reliability over the channel and how much for accommodating the burstiness with delay constraints.

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