标题： 高维随机格的渐近分析 显示英文标题

标题： Asymptotic Analysis of Random Lattices in High Dimensions

摘要： 本文针对高维随机格进行了渐近分析，以阐明所研究格的距离特性。 这些特性不仅表明了高维随机格中任意一对格点之间距离的渐近值，还描述了该渐近值接近精确距离的收敛行为。 进一步的渐近分析为具有大量天线时球形解码复杂度和最大似然（ML）检测器的成对错误概率（PEP）的渐近行为提供了新的见解。 显示英文摘要

摘要： This paper presents the asymptotic analysis of random lattices in high dimensions to clarify the distance properties of the considered lattices. These properties not only indicate the asymptotic value for the distance between any pair of lattice points in high-dimension random lattices, but also describe the convergence behavior of how the asymptotic value approaches the exact distance. The asymptotic analysis further prompts new insights into the asymptotic behavior of sphere-decoding complexity and the pairwise error probability (PEP) with maximum-likelihood (ML) detector for a large number of antennas.