基于二阶分圆类的高能量效率完备高斯整数序列设计  

High Energy Efficient Perfect Gaussian Integer Sequence Design Based on Second Order Cyclotomic Classes

作　　者：赵伟[1] 黄雷 贾彦国 沈秀敏[1] ZHAO Wei;HUANG Lei;JIA Yanguo;SHEN Xiumin(School of Information Science and Engineering,The Key Laboratory for Computer Virtual Technology and System Integration of Hebei Province,Yanshan University,Qinhuangdao 066004,China)

机构地区：[1]燕山大学信息科学与工程学院河北省计算机虚拟技术与系统集成重点实验室,秦皇岛066004

出　　处：《电子与信息学报》2023年第6期1952-1958,共7页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(61601401);河北省自然科学基金(F2018203057,F2020203043);河北省高等学校科学技术研究项目(QN2021144);河北省创新能力提升计划项目(22567626H)。

摘　　要：完备高斯整数序列(PGIS)因其良好的抗干扰性、高传输率和频谱利用率,如今已被广泛应用于码分复用(CDM)系统和正交频分复用(OFDM)系统。该文将高斯整数序列(GIS)分解成实部序列和虚部序列,再通过对实部序列和虚部序列2阶分圆构造出2阶和3阶的PGIS,并提出一种新的将奇数长PGIS扩展成偶数长PGIS的方法,该文构造出的多数PGIS能量效率高于95%,扩大了扩频通信系统的地址选择空间,对于工程实践具有重要意义。Perfect Gaussian Integer Sequence(PGIS)has been widely used in Code Division Multiplexing(CDM)systems and Orthogonal Frequency Division Multiplexing(OFDM)systems because of its good antiinterference,high transmission rate and high frequency spectrum utilization.In this paper,Gaussian Integer Sequence(GIS)is decomposed into real part sequence and imaginary part sequence,and then second-order and third-order PGIS are constructed by second-order cyclotomy of real part sequence and imaginary part sequence.A new method of extending odd length PGIS to even length PGIS is proposed.The energy efficiency of most PGIS constructed in this paper is higher than 95%,and expands the address selection space of spread spectrum communication system,which is of great significance to engineering practice.

关 键 词：完备高斯整数序列 分圆类 自相关函数 互相关函数 能量效率 

分 类 号：TN911.23[电子电信—通信与信息系统]