一种最优零碰撞区跳频序列集的构造方法

零碰撞区跳频序列集能够有效减轻准同步跳频通信系统中多址干扰,具有广阔应用前景.文中首先分析分段交织构造零碰撞区跳频序列集需要满足的条件,然后提出一种约束跳频间隔最优零碰撞区跳频序列集构造方法并分析了序列集具有最优性的条件和约束跳频间隔对平均跳频间隔的影响.最后数值仿真了构造的序列集的Hamming相关函数,证明了该构造方法的有效性,且改序列集的部分子集可以用来构造具有更大零碰撞区的最优序列集.该方法构造的序列集平均跳频间隔随着约束间隔增大而增大,而线性复杂度则随之降低,实际应用中需要合理地选择约束跳频间隔达到两者的折中.

A Construction Method of Optimal No-hit Zone Frequency Hopping Sequence Set

No-hit zone（NHZ） frequency hopping sequence set can effectively eliminate multiple address interference of the quasi-synchronous code division multiple access （QS-CDMA） communication system which has a bright prosperity in application.Firstly,the requirements of segmented interleaving technique to construct NHZ sequence set is analyzed in this paper; then a frequency distance restricted NHZ frequency hopping sequence set construction method is derived as well the condition to ensure the set optimal and the effect of the restricted distance for the average frequency distance are analyzed.Finally the numerical simulation of the Hamming correlation of the constructed sequence set proves the validity of this method,and the partial subset can be used to reconstruct another optimal sequence set with bigger NHZ.With the restricted distance getting bigger the average sequence distance of the constructed sequence set increases,while the linear complexity decreases,the restricted distance should be rationally selected to meet the compromise between the two factors.