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On Lattice Sequential Decoding for the Unconstrained AWGN Channel

机译：无约束AWGN信道的格序解码

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摘要

In this paper, the performance limits and the computational complexity of the lattice sequential decoder are analyzed for the unconstrained additive white Gaussian noise channel. The performance analysis available in the literature for such a channel has been studied only under the use of the minimum Euclidean distance decoder that is commonly referred to as the lattice decoder. Lattice decoders based on solutions to the NP-hard closest vector problem are very complex to implement, and the search for low complexity receivers for the detection of lattice codes is considered a challenging problem. However, the low computational complexity advantage that sequential decoding promises, makes it an alternative solution to the lattice decoder. In this work, we characterize the performance and complexity tradeoff via the error exponent and the decoding complexity, respectively, of such a decoder as a function of the decoding parameter — the bias term. For the above channel, we derive the cut-off volume-to-noise ratio that is required to achieve a good error performance with low decoding complexity.
机译：本文针对无约束加性高斯白噪声信道，分析了格序解码器的性能极限和计算复杂度。仅在使用通常被称为晶格解码器的最小欧几里德距离解码器的情况下，才对文献中针对这种信道的性能分析进行了研究。基于解决NP-hard最接近向量问题的解决方案的晶格解码器实现起来非常复杂，并且寻找低复杂度的接收器以检测晶格码被认为是一个具有挑战性的问题。但是，顺序解码所承诺的低计算复杂度优势使其成为晶格解码器的替代解决方案。在这项工作中，我们分别根据这种解码器的误差指数和解码复杂度来表征性能和复杂度的折衷，该误差与解码参数（偏置项）有关。对于上述信道，我们得出了在具有低解码复杂度的情况下实现良好的错误性能所需的截断体积噪声比。

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