New Construction for Low Hit Zone Frequency Hopping Sequence Sets with Optimal Partial Hamming Correlation

Abstract

Low hit zone frequency hopping sequences (LHZ FHSs) with favorable partial Hamming correlation properties are desirable in quasi-synchronous frequency hopping multiple-access systems. An LHZ FHS set is said to be strictly optimal if it has optimal partial Hamming correlation for all correlation windows. In this paper, we propose an interleaved construction of new sets of strictly optimal LHZ FHSs. By choosing suitable known optimal FHSs and certain appropriate shift sequences, strictly optimal LHZ FHS sets with new and flexible parameters can be obtained.