时频低碰撞区跳频序列理论界的研究

Theoretical bounds on low hit zone of time-frequency frequency hopping sequences

在实际的通信系统中,跳频信号除存在传输延时外,还有可能发生频率偏移。研究具有时频二维低碰撞区的跳频序列具有重要的应用价值。跳频序列的二维周期汉明自相关函数和互相关函数满足的理论界是判断跳频序列和跳频序列集好坏的标准。给出了由跳频序列的时频二维移位汉明相关值、频隙个数、序列的长度、序列的个数构成的理论界。

In the practical communication systems, besides the existing transmission delay, frequency shift are also likely to happen in the frequency hopping signal. Therefore existing frequency hopping sequences with low hit zone are expanded to time-frequency frequency hopping sequences with low hit zone. The theory bound satisfied by two-dimensional periodic hamming auto-correlation function and cross-correlation function of frequency hopping sequence is the criteria for judging good or bad frequency hopping se-quence and frequency hopping sequence set. The theory bound formed by time-frequency two-dimensional shift Hamming correlation value of frequency hopping sequence, frequency gap numbers, sequence length, and the family size is provided which is not in-cluded in the previous bounds.