跳频序列非周期部分汉明相关理论界研究

Theoretical Bounds of the Aperiodic Partial Hamming Correlation for Frequency Hopping Sequences

数据链是无人集群系统的重要网络结构,网络组间采用跳频技术实现抗干扰。跳频序列的非周期部分汉明相关能全面衡量跳频序列在不同相关窗大小下的抗干扰性能,其对于系统性能的评价非常重要。文章建立了关于跳频序列集非周期部分汉明相关的理论下界,推导了跳频序列集中序列的长度和数量、频隙集的大小、相关窗窗口大小与最大非周期部分汉明自相关以及最大非周期部分汉明互相关的不等式关系。可以用得出的理论界来判断所使用的跳频序列集关于非周期部分汉明相关的优劣。

The data link is an important network structure of unmanned swarm,and frequency hopping technology is used between network groups to achieve anti-interference performance.The aperiodic partial Hamming correlation of the frequency hopping sequence can fully measure the anti-jamming performance of the frequency hopping sequence under different correlation window length,which is very important for the evaluation of system performance.In this paper,a theoretical bound on the Hamming correlation of the aperiodic partial for the frequency hopping sequence set is derived.And the constraint relationship among the length and number of sequences in the frequency hopping sequence set,the size of the frequency slot set,the length of the correlation window and the maximum aperiodic partial Hamming autocorrelation and the maximum aperiodic partial Hamming cross-correlation are deduced.According to the derived theoretical bounds,the optimal aperiodic partial Hamming correlation performance can be judged for the used frequency hopping sequence set.