论文标题
低4.7极地代码的缩放指数
Sub-4.7 Scaling Exponent of Polar Codes
论文作者
论文摘要
极地代码在实践中明显接近通道容量，因此是5G标准的组成代码。但是，与低密度平价检查代码相比，短长的极性代码的性能具有改进的空间，可能会阻碍更广泛的应用程序类别的采用。作为解决性能问题的计划的一部分，至关重要的是要了解二进制无内存的对称频道的速度偏振。将一个称为缩放指数的数字定义为测量极化速度，并且在文献中给出了缩放指数的几个估计。截至2022年，2015年由Mondelli，Hassani和Urbanke制造的最严重的高估是4.714。我们将高估的高估至4.63。
Polar code visibly approaches channel capacity in practice and is thereby a constituent code of the 5G standard. Compared to low-density parity-check code, however, the performance of short-length polar code has rooms for improvement that could hinder its adoption by a wider class of applications. As part of the program that addresses the performance issue at short length, it is crucial to understand how fast binary memoryless symmetric channels polarize. A number, called scaling exponent, was defined to measure the speed of polarization and several estimates of the scaling exponent were given in literature. As of 2022, the tightest overestimate is 4.714 made by Mondelli, Hassani, and Urbanke in 2015. We lower the overestimate to 4.63.
