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Frequency Hopping Sequences With Optimal Partial Hamming Correlation

2016; Institute of Electrical and Electronics Engineers; Volume: 62; Issue: 6 Linguagem: Inglês

10.1109/tit.2016.2551225

1557-9654

Jingjun Bao, Lijun Ji,

Wireless Communication Networks Research

Frequency hopping sequences (FHSs) with favorable partial Hamming correlation properties have important applications in many synchronization and multiple-access systems. In this paper, we investigate constructions of FHSs and FHS sets with optimal partial Hamming correlation. We first establish a correspondence between FHS sets with optimal partial Hamming correlation and multiple partition-type balanced nested cyclic difference packings with a special property. By virtue of this correspondence, some FHSs and FHS sets with optimal partial Hamming correlation are constructed from various combinatorial structures, such as cyclic difference packings and cyclic relative difference families. As a consequence, our constructions yield new FHSs and FHS sets with optimal partial Hamming correlation.