河北师范大学数学科学学院河北省计算数学与应用重点实验室,河北,石家庄,050000
收稿:2020-11-18,
修回:2021-04-16,
纸质出版:2021-12-25
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李玉博, 门鑫宇, 高印芝, 等. 具有集间低相关性的完全互补码集构造法[J]. 电子学报, 2021,49(12):2357-2365.
LI Yu-bo, MEN Xin-yu, GAO Yin-zhi, et al. Constructions of Complete Complementary Code Sets With Low Inter‑Set Cross‑Correlation[J]. Acta Electronica Sinica, 2021, 49(12): 2357-2365.
李玉博, 门鑫宇, 高印芝, 等. 具有集间低相关性的完全互补码集构造法[J]. 电子学报, 2021,49(12):2357-2365. DOI: 10.12263/DZXB.20201307.
LI Yu-bo, MEN Xin-yu, GAO Yin-zhi, et al. Constructions of Complete Complementary Code Sets With Low Inter‑Set Cross‑Correlation[J]. Acta Electronica Sinica, 2021, 49(12): 2357-2365. DOI: 10.12263/DZXB.20201307.
为解决传统互补序列集中序列数目受限的问题,近年来有学者提出集间低相关性完全互补码(CCC,Complete Complementary Code)的概念. 集间低相关性的完全互补码具有良好的非周期自相关和互相关特性,作为多小区多载波码分多址(MC?CDMA
Multi?Carrier Code Division Multiple Access)通信系统中的扩频码可有效消除小区内的干扰,同时也可以抑制小区间的干扰. 该文提出两类具有集间低相关性的完全互补码集的构造方法,得到的序列集具有以下特性:(1)每个码集都是一个参数为(N
N
N)?CCC的完全互补码集;(2)不同集合的互补序列具有低相关性. 将多个完全互补码集合并,可以得到参数达到渐进最优的准互补序列集(QCSS
Quasi?Complementary Sequence Set).
In order to solve the problem of the limited number of sequences in the traditional complementary sequence sets
some scholars have proposed the concept of complete complementary code sets(CCCs) with low inter-set cross-correlation in recent years. Complete complementary code sets with low inter-set cross-correlation have perfect aperiodic auto-correlation and cross-correlation properties. As the spreading code in the multi-cell MC-CDMA communication system
CCCs can effectively eliminate intra-cell interference and suppress inter-cell interference. Two constructions of complete complementary code sets with low inter-set correlation are developed
and the resultant complementary sequence sets have the following properties: (1) each set is a complete complementary code set with parameters (N
N
N)?CCC; (2) complementary sequences from different sets have low correlation functions. Finally
an asymptotically optimal quasi-complementary sequence set is obtained when these multiple complete complementary code sets are combined .
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