中文摘要：

基于低碰撞区跳频序列的准同步跳频通信系统在低碰撞区内具有低的多址干扰。将已有的一维跳频序列低碰撞区扩展到时频二维，给出了两种构造二维时频低碰撞区跳频序列集的方法。构造法分别基于WelchCostas阵列和GolombCostas阵列，通过序列循环移位的方法分别得到一类二维时频低碰撞区跳频序列集。新的序列集满足跳频序列的二维周期汉明自相关函数和互相关函数构成的理论界，同时在二维时频低碰撞区内具有最优的自相关特性和互相关特性。

英文摘要：

The quasi-synchronous frequency hopping communication system based on frequency hopping se- quence with low hit zone has lower multiple access interference. The existing one-dimensional frequency hopping sequences with low hit zone is expanded to two-dimensional time-frequency hopping sequences. Two construc- tion methods of frequency hopping sequence set with two-dimensional time-frequency low hit zone are presented. The construction methods are based on Welch Costas array and Golomb Costas array respectively. And by the method of sequence cyclic shift, the frequency hopping sequence sets with the two-dimensional time-frequency low bit zone can be obtained. The newly constructed frequency hopping sequence sets reach the theory bound formed by two-dimensional periodic hamming auto-correlation and cross-correlation function of frequency hopping sequence. Meanwhile, it results in the optimal auto-correlation and cross-correlation properties in the two-dimensional time-frequency low hit zone.