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Construction of Multi-Kernel Polar Codes with Kernel Substitution
IEEE Wireless Communications Letters ( IF 6.3 ) Pub Date : 2020-11-01 , DOI: 10.1109/lwc.2020.3006759
Chenyang Xia , Chi-Ying Tsui , Youzhe Fan

Traditional polar codes are constructed based on a size-2 kernel and the code length is thus restricted to an integer power of 2. To achieve flexible code lengths, punctured and shortened schemes are used in the existing 5G standard. Recently, an alternative approach for flexible code lengths, multi-kernel (MK) polar code, has been proposed, which is constructed based on both size-2 and other larges kernels. However, the error-correction performance is not as good as that of the punctured and shortened schemes. In this letter, an MK polar code construction method based on a kernel substitution scheme is proposed, which is a practical scheme to construct the codes using two types of large kernels with the same size so that the error-correction performance can be improved. Compared with the existing MK polar codes, simulation results show that 0.15 - 0.25dB performance gain can be achieved by SC decoding for most code settings at a block error rate of 10−4 without complexity overhead.

中文翻译:

用内核替换构建多内核极性码

传统的极化码是基于 size-2 内核构建的,因此码长被限制为 2 的整数次幂。 为了实现灵活的码长,现有 5G 标准中使用了打孔和缩短方案。最近,已经提出了一种灵活代码长度的替代方法,即多核 (MK) 极性码,它是基于 size-2 和其他大内核构建的。然而,纠错性能不如穿孔和缩短方案。在这封信中,提出了一种基于核替代方案的MK极化码构造方法,该方法是利用两种大小相同的大核构造码以提高纠错性能的实用方案。与现有的 MK 极化码相比,仿真结果表明 0.
更新日期:2020-11-01
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