强时频无碰撞区跳频序列理论界

Theoretical bounds on strong time-frequency two-dimensional no-hit-zone sequences

在准同步跳频通信系统中,无碰撞区跳频序列具有良好的Hamming相关性能,但是当时延超出无碰撞区时,该性能将无法得到保障。为了给跳频序列集在时频二维无碰撞区之外Hamming相关性优化提供标准,导出了包含频隙个数、序列长度、序列数目、时频二维无碰撞区之外跳频序列集最大异相Hamming自相关函数值和最大互相关函数值的理论界。提出了强时频二维无碰撞区跳频序列集的概念。分析了一类强时频二维无碰撞区跳频序列集的Hamming相关性。

In the quasi-synchronous frequency hopping communication system,the frequency hopping sequence in the no-hit-zone has good Hamming-related performance,but this performance cannot be guaranteed when it extends beyond the no-hit-zone at that time.In order to provide a standard for the optimization of the Hamming correlation of the frequency hopping sequence set outside the time-frequency two-dimensional no-hit-zone,the theoretical bound including the number of frequency slots,the length of the sequence,the number of sequence,the maximum out-of-phase Hamming auto-correlation function value and the maximum cross-correlation function value of the frequency hopping sequence set outside the time-frequency two-dimensional no-hit-zone is derived.The concept of strong time-frequency two-dimensional no-hit-zone frequency hopping sequence set is proposed.The Hamming correlation of a class of strong time-frequency two-dimensional no-hit-zone frequency hopping sequence set is analyzed.