基于矩阵置换的最优无碰撞区跳频序列集的构造

Construction of optimal frequency hopping sequence sets with no-hit zone based on matrix permutation

对已有的几类无碰撞区跳频序列集的构造进行推广,提出一种无碰撞区跳频序列集的一般构造。该一般构造是通过对矩阵的列进行置换来实现的。在提出的序列集构造中,序列的长度、序列的条数和无碰撞区大小可灵活变动,而且构造方法多样,序列集的某些性质受具体的构造方法和参数的影响。由该方法得到序列集的参数达到了理论界,是一类最优无碰撞区跳频序列集。

A general construction method of optimal frequency hopping sequence sets with no-hit zone was proposed in this paper, which included several known constructions as special cases. The general method was obtained by performing the column permutation on the signal matrix. In the proposed construction, the length, the number of the sequences and the length of the no-hit zone could be changed flexibly. Furthermore, the available concrete construction methods were abundant. Some properties of the frequency hopping sequence sets were influenced by the concrete construction methods and the parameters. The parameters of frequency hopping sequence sets obtained by this method reach the theoretical bound; hence they are classes of optimal frequency hopping sequence sets with no-hit zone.