一类具有最优平均汉明相关特性的跳频序列族

A Class of Frequency-Hopping Sequence Family with Optimal Average Hamming Correlation Property

平均汉明相关是评价跳频序列性能的重要判据之一。该文基于模p的高次剩余构造了一类长度为p2,序列族的大小为(p?1)2的跳频序列族。该跳频序列族的平均汉明自相关值为0,平均汉明互相关值为1,关于平均汉明相关理论界是最优的。

The average Hamming correlation is an important performance indicator of the frequency hopping sequences. Based on power residue module p, a class of frequency-hopping sequence family with length of sequences being p2 and family size （p-1）2 is constructed in this paper. It is shown that the average Hamming autocorrelation of the new frequency hopping sequence family is 0, and the average Hamming crosscorrelation is 1. The family is optimal with respect to the average Hamming correlation bound.