| 周期准互补序列集构造法 |
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| 引用本文： | 陈晓玉, 彭秀英, 王成瑞, 崔莉. 周期准互补序列集构造法[J]. 电子与信息学报, 2022, 44(11): 4034-4040. doi: 10.11999/JEIT210881 |
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| 作者姓名： | 陈晓玉 彭秀英 王成瑞 崔莉 |
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| 作者单位： | 1.燕山大学信息科学与工程学院 秦皇岛 066004;;2.河北省信息传输与信号处理重点实验室 秦皇岛 066004 |
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| 基金项目： | 河北省自然科学基金(F2021203078)，河北省高等学校科学技术研究项目(ZD2022026) |
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| 摘 要： | 该文基于2元序列支撑集和低相关序列集，提出一种新的周期准互补序列集构造框架。在此框架基础上，分别利用最优4元序列族A、族D和Luke序列集提出了3类渐近最优和渐近几乎最优周期准互补序列集，序列集参数由2元序列和低相关序列集共同决定。与传统的完备互补序列集相比，所构造的准互补序列集具有更多的序列数目，应用到多载波扩频通信系统中可以支持更多的用户。
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| 关 键 词： | 准互补序列集 2元序列 低相关 渐近最优 |
| 收稿时间： | 2021-08-26 |
| 修稿时间： | 2022-05-09 |
Constructions of Periodic Quasi-complementary Sequence Sets |
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| CHEN Xiaoyu, PENG Xiuying, WANG Chengrui, CUI Li. Constructions of Periodic Quasi-complementary Sequence Sets[J]. Journal of Electronics & Information Technology, 2022, 44(11): 4034-4040. doi: 10.11999/JEIT210881 |
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| Authors: | CHEN Xiaoyu PENG Xiuying WANG Chengrui CUI Li |
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| Affiliation: | 1. College of Information Science & Engineering, Yanshan University, Qinhuangdao 066004, China;;2. Hebei Province Key Laboratory of Information Transmission and Signal Processing, Qinhuangdao 066004, China |
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| Abstract: | Based on the support of binary sequences and low correlation sequence sets, a new framework for constructing periodic quasi-complementary sequence sets is proposed. Based on this framework, three classes of asymptotically optimal and asymptotically almost optimal periodic quasi-complementary sequence sets are proposed by using the optimal quaternary sequence family A, family D and Luke sequence set, respectively. In addition, the parameters of sequence set are determined by the binary sequence and the low correlation sequence set. Compared with the traditional complete complementary sequence set, the quasi-complementary sequence set includes more sequences, which can support more users in multi-carrier spread spectrum communication system. |
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| Keywords: | Quasi-complementary sequence set Binary sequence Low correlation Asymptotically optimal |
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