一类基于m-序列采样的最优跳频序列  

A class of optimal frequency hopping sequence based on the decimated m-sequences

作　　者：秦庆如 苏为 王健鹏[1] QIN Qingru;SU Wei;WANG Jianpeng(School of Mathematics,Southwest Jiaotong University,Chengdu 611756,China;School of Economics and Information Engineering,Southwestern University of Finance and Economics,Chengdu 611130,China)

机构地区：[1]西南交通大学数学学院,四川成都611756 [2]西南财经大学经济与信息工程学院,四川成都611130

出　　处：《湖北大学学报（自然科学版）》2024年第6期774-783,共10页Journal of Hubei University：Natural Science

基　　金：中央政府指导地方科技发展基金(2022ZYD0004);中央高校基本科研业务费专项资金(682023GF013、2682023CG007);四川省杰出青年科学基金(2023NSFSC1912)资助。

摘　　要：在跳频通信系统中,跳频序列的相关特性是衡量系统性能的一个重要标准。因此,设计新的具有低相关性能的跳频序列一直是跳频系统中研究的重要课题之一。基于有限域上的特征和与m-序列的采样序列,本研究构造了一类关于Lempel-Greenberger界的最优跳频序列,该类序列具有新参数。In frequency hopping communication system,the correlation characteristic of frequency hopping sequence is an important standard to measure the system performance.Therefore,the design of new frequency hopping sequences with low correlation property has always been one of the important topics in frequency hopping systems.In this paper,we presented a class of frequency hopping sequences with respect to the Lempel-Greenberger bound,which was based on the character sums over finite fields and the decimation of m-sequences.The frequency hopping sequences have new parameters.

关 键 词：跳频序列 Lempel-Greenberger界 M-序列 采样序列 特征和 

分 类 号：TP393.04[自动化与计算机技术—计算机应用技术]