Optimal Construction of Frequency-Hopping Sequence Sets with Low-Hit-Zone under Periodic Partial Hamming Correlation

Changyuan WANG; Daiyuan PENG; Xianhua NIU; Hongyu HAN

doi:10.1587/transfun.E100.A.304

Regular Section

Optimal Construction of Frequency-Hopping Sequence Sets with Low-Hit-Zone under Periodic Partial Hamming Correlation

Changyuan WANG, Daiyuan PENG, Xianhua NIU, Hongyu HAN

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Keywords: maximum periodic partial Hamming correlation, average periodic partial Hamming correlation, Cartesian product, low-hit-zone

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2017 Volume E100.A Issue 1 Pages 304-307

DOI https://doi.org/10.1587/transfun.E100.A.304

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Abstract

In this paper, a new class of low-hit-zone (LHZ) frequency-hopping sequence sets (LHZ FHS sets) is constructed based upon the Cartesian product, and the periodic partial Hamming correlation within its LHZ are studied. Studies have shown that the new LHZ FHS sets are optimal according to the periodic partial Hamming correlation bounds of FHS set, and some known FHS sets are the special cases of this new construction.

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