论文标题
基于分段高斯近似的极地代码的设计和分析
Design and Analysis of Polar Codes Based on Piecewise Gaussian Approximation
论文作者
论文摘要
在本文中，我们提出了基于分段高斯近似（PGA）技术的极地代码的构建。首先优化了PGA，然后将PGA与高斯近似（GA）的构造方法进行了比较，显示了中等块的性能增长，并且在连续取消（SC）解码和添加性白色高斯噪声（AWGN）通道的情况下，长期块的性能提高和长度的高精度。基于PGA，我们基于易于实现的多段多项式开发两个近似值。我们介绍了针对中型块进行了优化的近似PGA（APGA），并提供了性能改进而不增加复杂性。此外，我们开发了简化的PGA（SPGA）作为GA的替代方案，该GA可以针对长块进行了优化，并实现了高结构的精度。仿真结果表明，APGA和SPGA施工方法的表现优于现有的GA，并且具有明显改善性能的中型和长块代码的竞争方法。
In this article, we propose the construction of polar codes based on piecewise Gaussian approximation (PGA) techniques. The PGA is first optimized and then compared to the Gaussian approximation (GA) construction method, showing performance gains for medium blocks and high precision for long blocks, in scenarios with successive cancellation (SC) decoding and additive white gaussian noise (AWGN) channel. Based on the PGA, we develop two approximations based on multi-segmented polynomials that are easy to implement. We present the Approximate PGA (APGA) that is optimized for medium blocks and provides a performance improvement without increasing complexity. Furthermore, we develop the simplified PGA (SPGA) as an alternative to the GA, which is optimized for long blocks and achieves high construction accuracy. Simulation results show that the APGA and SPGA construction methods outperform existing GA and competing approaches for medium and long block codes with notable performance improvement.
