This article concerns the maximum coding rate at which data can be transmitted over a noncoherent, single-antenna, Rayleigh block-fading channel using an error-correcting code of a given blocklength with a block-error probability not exceeding a given value. A high-SNR normal approximation of the maximum coding rate is presented that becomes accurate as the signal-to-noise ratio (SNR) and the number of coherence intervals $L$ over which we code tend to infinity. Numerical analyses suggest that the approximation is accurate at SNR values above 15dB and when the number of coherence intervals is 10 or more.

中文翻译：

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在有限块长度的单天线瑞利块衰落信道上

本文涉及使用具有不超过给定值的块错误概率的给定块长度的纠错码在非相干、单天线、瑞利块衰落信道上传输数据的最大编码率。提出了最大编码率的高 SNR 正态近似值，该近似值随着信噪比 (SNR) 和相干间隔数而变得准确 $L$ 我们的编码趋向于无穷大。数值分析表明，当 SNR 值高于 15dB 且相干间隔数为 10 或更多时，近似值是准确的。