Abstract: In the frequency hopping system, the performance of frequency hopping sequence is the main index to evaluate the performance of frequency hopping communication system. Two methods are put forward for constructing frequency hopping sequences with the two-dimensional aperiodic low hit zone. Firstly, the frequency hopping sequence set with the two-dimensional aperiodic low hit zone by the Cartesian product is constructed. Secondly, the frequency hopping sequence set with the two-dimensional aperiodic low hit zone by the interleaving technique is constructed. Finally, the new frequency hopping sequence set’ aperiodic hamming correlation is analyzed in the two-dimensional low hit zone, and according to the theoretical bound, the optimal analysis of the sequence set is carried out.

Key words: frequency hopping sequence, low hit zone, Cartesian product, interleaving technique, hamming correlation