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D₄格上的两级去相关编码调制

Two-Level Decorrelated Coded Modulation on the $D_4$ Lattice

Leopold Bertholet, Chloe Makdad, Stephen Mackes, Daniel Chew, Matthew Robinson

arXiv 2608.16662首次发表:更新:

AI 中文总结

提出针对D₄格的两级去相关编码(TLDC),结合Voronoi整形与两级解码,在16-QAM的AWGN信道下,块长64和1024比特时,较同类方案获0.5 dB增益,性能更优。

AI 中文摘要

我们提出了两级去相关编码(TLDC),这是一种针对D₄格的新型编码调制方案,它将Voronoi整形与两级解码过程相结合,以低复杂度实现格整形和编码增益。在TLDC中,第一级的解码值使第二级的多个随机变量近似不相关。第二级变量的这种独立性允许并行解码或合并为更大的码字,从而提升性能。TLDC支持在每一级灵活选择前向纠错(FEC),在每一级使用比特交织或多级极化码时,所得到的编码调制方案在加性高斯白噪声(AWGN)下的16-QAM上,当块长为64和1024比特时,相比类似的最先进编码调制方案可实现高达0.5 dB的增益。

英文摘要

We propose \textit{two-level decorrelated coding} (TLDC), a novel coded modulation scheme for the $D_4$ lattice that combines Voronoi shaping with a two-stage decoding process to achieve lattice shaping and coding gains at low complexity. In TLDC, the decoded values of the first level allow the several random variables in the second level to become approximately uncorrelated. The resulting independence of the variables in level two permits decoding in parallel or consolidation into a larger codeword, enhancing performance. TLDC supports flexible choice of FEC within each level. Using bit-interleaved or multi-level polar codes at each level, the resulting coded modulation scheme exhibits a gain of up to 0.5 dB over analogous state-of-the-art coded modulation schemes on a 16-QAM under AWGN at block sizes of 64 and 1024 bits.

论文原文

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