低碰撞区跳频序列平均部分汉明相关理论界研究

平均汉明相关是评价跳频序列性能的重要判据之一。通常在系统应用中，相关窗的长度小于所选择的跳频序列的周期，所以研究跳频序列部分汉明相关性能显得尤为重要。文章建立了低碰撞区跳频序列集平均部分汉明相关的理论界，并通过理论界给出了跳频序列集序列长度、序列个数、频隙个数、平均部分汉明自相关和平均部分汉明互相关所满足的理论约束关系，同时还证明了常规跳频序列的Peng-Peng-Tang-Niu界是本文结果的特殊情况。  

Lower Bound on the Average Partial Hamming Correlation of Frequency Hopping Sequences with Low Hit Zone

Average Hamming correlation is an important performance indicator of frequency hopping sequences. Usually,the length of correlation window is shorter than the period of chosen frequency hopping sequence,so the study of partial Hamming correlation of frequency hopping sequence is particularly important. In this paper,the average partial Hamming correlation lower bounds of frequency hopping sequences with low hit zone,with respect to the size of the frequency slot set,the length of correlation window,the family size,the low hit zone,the average partial Hamming autocorrelation and the average partial Hamming crosscorrelation are established. It is shown that this new bound includes the known Peng-Peng-Tang-Niu bound for conventional frequency hopping sequences as special cases.