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On the performance of polar codes for 5G eMBB control channel

机译：关于5G eMBB控制信道的极码性能

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摘要

Polar codes are a class of error-correcting codes which can provably achieve the capacity of a binary memoryless symmetric channel with low-complexity encoding and decoding algorithms. They have been selected for use in the next generation of wireless communications, as a coding scheme for the enhanced mobile broadband (eMBB) control channel, which requires codes with short lengths and low rates. Successive-cancellation (SC), SC list (SCL), and their modifications, are some of the most studied polar code decoding algorithms. In this paper, we study polar codes of short lengths and different code rates. We show that for a fixed target frame error rate (FER), there is an optimal code rate with which SC and SCL decoders can achieve it with maximum power efficiency. In addition, we study the effect of CRC on the error-correction performance of SCL decoders and show that there is an optimal CRC length with which the decoder achieves its best results. We further analyze the speed of polar code decoding by considering state-of-the-art fast SCL decoders available in literature, thus providing a survey of the decoder design space for eMBB, considering error-correction performance, achievable throughput, flexibility and estimated complexity.
机译：极地码是一类纠错码，可以使用低复杂度的编码和解码算法来证明可实现二进制无记忆对称信道的容量。它们已被选择用于下一代无线通信中，作为增强型移动宽带（eMBB）控制信道的编码方案，该方案需要长度短且速率低的代码。连续取消（SC），SC列表（SCL）及其修改是一些研究最深​​入的极地代码解码算法。在本文中，我们研究了短长度和不同码率的极性码。我们证明，对于固定的目标帧错误率（FER），SC和SCL解码器可以以最佳的功率效率实现最佳的码率。此外，我们研究了CRC对SCL解码器的纠错性能的影响，并表明存在最佳的CRC长度，解码器可达到此最佳效果。我们通过考虑文献中提供的最先进的快速SCL解码器来进一步分析极性码解码的速度，从而提供针对eMBB的解码器设计空间的调查，同时考虑纠错性能，可实现的吞吐量，灵活性和估计的复杂性。

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