论文标题
极地代码的性能和构建：位错误概率的观点
Performance and Construction of Polar Codes: The Perspective of Bit Error Probability
论文作者
论文摘要
极地代码的大多数现有作品都集中在块误差概率的分析上。但是，在许多情况下，位错误概率对于评估通道代码的性能也很重要。在本文中，我们建立了一个新框架来分析极地代码的位误差概率。具体而言，通过重新访问位渠道的错误事件，我们首先引入有条件的位误差概率作为度量，以评估对系统和非系统性极性代码的位渠道的可靠性。在极性子代码的概念的指导下，我们在每个位渠道的条件位误差概率上得出了上限，因此，在极性代码的位误差概率上的上限。基于这些，提出了两种旨在最小化极性代码的位误差概率的构造指标，它们具有线性计算复杂性和显式形式。仿真结果表明，所提出的方法构建的极性代码可以胜过传统方法构建的极性代码。
Most existing works of polar codes focus on the analysis of block error probability. However, in many scenarios, bit error probability is also important for evaluating the performance of channel codes. In this paper, we establish a new framework to analyze the bit error probability of polar codes. Specifically, by revisiting the error event of bit-channel, we first introduce the conditional bit error probability as a metric to evaluate the reliability of bit-channel for both systematic and non-systematic polar codes. Guided by the concept of polar subcode, we then derive an upper bound on the conditional bit error probability of each bit-channel, and accordingly, an upper bound on the bit error probability of polar codes. Based on these, two types of construction metrics aiming at minimizing the bit error probability of polar codes are proposed, which are of linear computational complexity and explicit forms. Simulation results show that the polar codes constructed by the proposed methods can outperform those constructed by the conventional methods.
