In this letter, we propose a progressive rate-filling method as a framework to study agile construction of multilevel polar-coded modulation. We show that the bit indices within each component polar code can follow a fixed, precomputed ranking sequence, e.g., the Polar sequence in the 5G standard, while their allocated rates (i.e., the number of information bits of each component polar code) can be fast computed by exploiting the target sum-rate approximation and proper rate-filling methods. In particular, we develop two rate-filling strategies based on the capacity and the rate considering the finite block-length effect. The proposed construction methods can be performed independently of the actual channel condition with ${O\left(m\right)}$ ($m$ denotes the modulation order) complexity and robust to diverse modulation and coding schemes in the 5G standard, which is a desired feature for practical systems.

翻译：在此信中,我们建议采用渐进率填充方法,作为研究多级极地编码调制器的灵活构造的框架。我们显示,每个部件极地编码中的位数指数可以遵循固定的预先计算排序顺序,例如5G标准中的极地顺序,而其分配比率(即每个部件极地编码的信息位数)可以通过利用目标总和近似和适当的加速方法快速计算。特别是,我们根据能力和考虑到有限轮挡长度效应的速率,制定了两种填制法。提议的建造方法可以独立于实际频道状况,以${O\left(m\right)}$美元表示调制器的复杂程度,并强有力地在5G标准中采用多种调制和编码办法,这是实用系统的理想特征。