论文标题
多内核极性代码：概念和设计原理
Multi-Kernel Polar Codes: Concept and Design Principles
论文作者
论文摘要
在本文中，我们通过在转换矩阵的Kronecker产品中采用不同尺寸的核来提出一种新的极地代码构建，从而概括了Arikan的原始结构。拟议的多内核极性代码可以在代码长度方面具有更大的灵活性，此外，还允许各种新的设计原理。我们详细描述编码以及连续的取消（SC）解码和SC列表（SCL）解码，我们为冷冻组提供了一种新颖的设计方法，可以优化列表解码下的性能，而不是原始的基于可靠的代码设计。最后，与刺破和缩短的极性代码相比，我们在数值上证明了新设计原理下多内核极性代码的优势。
In this paper, we propose a new polar code construction by employing kernels of different sizes in the Kronecker product of the transformation matrix, thus generalizing the original construction by Arikan. The proposed multi-kernel polar code allows for more flexibility in terms of the code length, moreover allowing for various new design principles. We describe in detail encoding as well as successive cancellation (SC) decoding and SC list (SCL) decoding, and we provide a novel design method for the frozen set that allows to optimise the performance under list decoding, as opposed to original relability-based code design. Finally, we numerically demonstrate the advantage of multi-kernel polar codes under the new design principles compared to punctured and shortened polar codes.
