极化码与奇偶校验码的级联编码：面向5G及未来移动通信的编码方案
Concatenated Coding of Polar Codes and Parity-Check Codes: Coding Scheme for 5G and Future Mobile Communications

基于信道极化 定理而提出的极化码是目前唯一被严格理论证明可以达到香农容量限的编码，并被接受为第五代移动通信系统（5G）中短码控制信道的编码方案。本文首先给出极化码的编码和译码原理，然后提出一种极化码与奇偶校验码级联的设计方案，发送端编码器采用奇偶校验码作为外码，极化码作为内码的级联编码结构。接收端译码器采用基于奇偶校验辅助的连续消 除列表译码算法。相比于极化码与循环冗余校验码的级联方案，本文提出的级联设计方案具有更加优良的纠错性能，且没有提升编、译码的复杂度，有能力满足5G移动通信控制信道对纠错性能的要求。
Polar codes are the first coding schemes that probably achieve the Shannon capacity of memory-less symmetric channels with an explicit construction based on the channel polarization. Moreover, polar codes are adopted for control channels in the fifth generation mobile communication systems (5G). Here, the basic principle of polar codes is briefly introduced, including polar encoding and decoding. Furthermore, a concatenated coding scheme of polar codes and parity-check codes, called the parity-check-concatenated (PCC) polar codes is proposed. The information bits are encoded by an outer parity-check encoder and an inner polar encoder. At the receiver, the parity-check-aided successive cancellation list (PC-aided SCL) algorithm is applied for decoding. Simulation results show that PCC polar codes could have evident performance gains over the cyclic redundancy check-concatenated polar codes without increasing the complexity of encoding and decoding. Therefore, PCC polar codes could meet the requirements of 5G for the error correction performance.