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

  • WANG Changyuan
    Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University
  • PENG Daiyuan
    Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University
  • NIU Xianhua
    School of Computer and Software Engineering, Xihua University
  • HAN Hongyu
    Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University

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<p>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.</p>

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