具有低碰撞区的跳频序列的理论界  

The Theoretical Bound for Frequency Hopping Sequences with Low Hit Zone

作　　者：唐小虎[1] TANG Xiaohu(School of Information Science and Technology,Southwest Jiaotong University,Chengdu 611756,Sichuan)

机构地区：[1]西南交通大学信息科学与技术学院,四川成都611756

出　　处：《四川师范大学学报（自然科学版）》2021年第4期427-438,F0002,共13页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(61871331)。

摘　　要：跳频序列理论界一直是跳频扩频通信的基础研究课题.21世纪初,我国学者提出“低碰撞区跳频序列”的概念,并建立相应的研究方法,为跳频序列的研究开创了一个新方向.自此,国内外掀起一股跳频序列的研究热潮,大量研究成果被报道.综合介绍具有低碰撞区的跳频序列理论界的研究状况,主要内容包括:具有低碰撞区的跳频序列周期汉明相关函数的理论界、具有低碰撞区的跳频序列非周期汉明相关函数的理论界、具有低碰撞区的跳频序列部分周期汉明相关函数的理论界、具有低碰撞区的跳频序列汉明相关函数平均值的理论界和具有低碰撞区的宽间隔跳频序列集部分汉明相关函数的理论界.The theoretical bound for frequency hopping sequence has always been a basic research topic in frequency hopping spread spectrum communications.At the beginning of this century,Chinese scholars put forward the concept of“frequency hopping sequence with low hit zone”and established the corresponding research methods,which opened up a new direction for the research of frequency hopping sequence.Since then,the study of frequency hopping sequences has received a lot of attentions,and a large number of research results have been reported.In this paper,the research status of theoretical bound for frequency hopping sequence with low hit zone is introduced.The main contents include:the theoretical bounds on the periodic Hamming correlation of frequency hopping sequences with low hit zone;the theoretical bounds on the aperiodic Hamming correlation of frequency hopping sequences with low hit zone;the theoretical bounds on the partial periodic Hamming correlation of frequency hopping sequences with low hit zone;the theoretical bounds on the average Hamming correlation of frequency hopping sequences with low hit zone;the theoretical bounds on the partial Hamming correlation of widegap frequency hopping sequences with low hit zone.

关 键 词：跳频扩频通信 跳频序列 低碰撞区 理论界 

分 类 号：TN921[电子电信—通信与信息系统]