2016/03/01 by Rongrong Qian, Yuan Qi, Qian, Rongrong +1
Computer Science · Mathematics · #94A13 #94A24 #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT #msc:94A13 #msc:94A24
paper · pdf · doi:10.48550/arxiv.1603.00133
22 pages, 2 figures
arxiv created 2016/03/01 · arxiv updated 2016/03/02
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.