具有优异汉明相关特性的混沌跳频序列构造方法  

A Construction Method of Chaotic Frequency Hopping Sequences with Good Hamming Correlation Properties

作　　者：周军[1] 刘星 肖飞[1] 程石磊 ZHOU Jun;LIU Xing;XIAO Fei;CHENG Shilei(No.30 Institute of CETC,Chengdu Sichuan 610041,China;College of Electrical Engineering,Sichuan University,Chengdu Sichuan 610065,China)

机构地区：[1]中国电子科技集团公司第三十研究所,四川成都610041 [2]四川大学电气工程学院,四川成都610065

出　　处：《通信技术》2024年第9期892-896,共5页Communications Technology

摘　　要：跳频通信具有码分多址、频带共享、抗干扰和抗截获的能力,在无线通信系统中得到了广泛的应用。目前基于混沌方法构造的跳频序列大多具有较高的线性复杂度,所得到的跳频序列虽然具有良好的随机性,但是其汉明相关性还不够。在选取具有优异汉明相关特性的m序列的基础上,结合混沌序列,利用笛卡尔积构造得到了具有优异汉明自相关性的跳频序列。该跳频序列具备与混沌序列一致的线性复杂度,而且可以保证其周期不小于m序列的周期,汉明自相关值不超过m序列的汉明自相关值。Frequency hopping communication has the ability of code division multiple access,frequency band sharing,resistance to interference and interception,and is widely used in wireless communication systems.At present,most of the frequency hopping sequences constructed based on chaotic methods have high linear complexity,and the obtained frequency hopping sequences have good randomness but their Hamming correlation is not good enough.On the basis of selecting m-sequences with excellent Hamming correlation properties,combined with chaotic sequences,a frequency hopping sequence with excellent Hamming autocorrelation is constructed using Cartesian product.The frequency hopping sequence has the same linear complexity as the chaotic sequence,and it can be ensured that its period is not less than that of m-sequences,and that its Hamming autocorrelation value does not exceed the Hamming autocorrelation value of m-sequences.

关 键 词：跳频序列 M序列 汉明自相关 笛卡尔积 高线性复杂度 

分 类 号：TN92[电子电信—通信与信息系统]