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arXiv 2007.06739cs.ITeess.SPmath.IT
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用于超可靠低延迟通信的正交稀疏叠加码

Orthogonal Sparse Superposition Codes for Ultra-Reliable Low-Latency Communications

Yunseo Nam, Jeonghun Park, Songnam Hong, Namyoon Lee

摘要:

本文提出了一种新的稀疏叠加码,适用于加性高斯白噪声信道中的低速率短分组通信。新的码是正交稀疏叠加(OSS)码。OSS码的码字被表示为稀疏子码字的叠加,稀疏子码字的支持集相互不重叠。为了以计算高效的方式构造这样的码字,提出了连续编码方法。利用子码字之间的正交性,提出了一种简单而接近最优的译码方法,该方法采用逐次支持集消去进行逐元素最大后验译码。该解码器的块长度线性解码复杂度超快,远低于商业上使用的现代信道码的信道解码器。分析得出了几层OSS码的块出错率的上界随块长度和码率的变化关系。事实证明,单层OSS码在功率受限的情况下达到了最终的香农极限,即使使用线性复杂度解码器。通过仿真,所提出的OSS码被证明比商业上使用的编码调制技术在低速率和短延迟通信场景中表现更好。

英文摘要:

This paper presents a new class of sparse superposition codes for low-rates and short-packet communications over the additive white Gaussian noise channel. The new code is orthogonal sparse superposition (OSS) code. A codeword of OSS codes is represented as a superposition of sparse sub-codewords whose support sets are mutually non-overlapping. To construct such codewords in a computationally efficient manner, a successive encoding method is presented. Harnessing the orthogonal property among sub-codewords, a simple yet near-optimal decoding method is proposed, which performs element-wise maximum a posterior decoding with successive support set cancellation. This decoder is super-fast by a linear decoding complexity in block lengths, far less than the commercially used channel decoders for modern channel codes. The upper bounds for the block error rates (BLERs) are analytically derived for few-layered OSS codes as a function of block lengths and code rates. It turns out that a single-layered OSS code achieves the ultimate Shannon limit in the power-limited regime, even with the linear complexity decoder. Via simulations, the proposed OSS codes are shown to perform better than commercially used coded modulation techniques for low-rate and short-latency communication scenarios.

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