时频二维低/无碰撞区跳频序列集构造

在通信系统中,跳频信号不仅会出现时延,还会存在频移。研究具有时频二维低/无碰撞区的跳频序列的构造。证明了Reed-Solomon(RS)码的时频二维周期汉明自相关函数的上界;提出了两种构造方法。第一种方法是基于RS码来构造时频二维周期低碰撞区跳频序列集。第二种方法利用矩阵来构造时频二维非周期无碰撞区跳频序列集。丰富了时频二维低/无碰撞区跳频序列的理论研究成果。

Construction of frequency hopping sequence set with time frequency two-dimensional low or no hit zone

In the communication system, the frequency hopping signal not only has time shift, but also frequency shift. The construction of the frequency hopping sequence with the time frequency two dimensional low or no hit zone are studied. The upper bound of the time frequency two dimensional period Hamming auto correlation function of Reed-Solomon (RS) codes is proved. Two methods of construction are proposed. The first method based on RS codes is to construct the period frequency hopping sequence set with the time frequency two dimensional low hit zone. The second method is to construct the aperiodic frequency hopping sequence set with the time frequency two dimensional no hit zone by matrix. These methods can enrich the theoretical results on the frequency hopping sequence with the time frequency two dimensional low or no hit zone.