Frequency hopping sequences with optimal aperiodic Hamming correlation by interleaving techniques | Zendy

Xing Liu | Zendy; Daiyuan Peng | Zendy

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Frequency hopping sequences with optimal aperiodic Hamming correlation by interleaving techniques

Author(s) -

Xing Liu,

Daiyuan Peng

Publication year - 2017

Publication title -

advances in mathematics of communications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.601

H-Index - 26

eISSN - 1930-5346

pISSN - 1930-5338

DOI - 10.3934/amc.2017009

Subject(s) - aperiodic graph , mathematics , interleaving , sequence (biology) , hamming code , hamming distance , hamming weight , coincidence , combinatorics , discrete mathematics , algorithm , computer science , block code , genetics , biology , decoding methods , medicine , alternative medicine , pathology , operating system

Aperiodic Hamming correlation is an important criterion for evaluating the goodness of frequency hopping (FH) sequence design, while it received little attraction in the literature. In this paper, a construction of FH sequences with optimal aperiodic Hamming correlation by interleaving techniques is presented. Further, a class of one-coincidence FH sequence sets under aperiodic Hamming correlation is proposed. By employing the one-coincidence FH sequence sets, a class of FH sequence sets with optimal aperiodic Hamming correlation is also constructed by interleaving techniques.

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