Low-hit-zone frequency hopping sequence sets with optimal partial Hamming correlation properties

In order to evaluate the goodness of frequency hopping sequence (FHS) design, the periodic Hamming correlation function is used as an important measure. Usually, the length of correlation window is shorter than the period of the chosen FHS, so the study of the partial Hamming correlation of FHS is p...

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Bibliographic Details
Published in:Designs, codes, and cryptography codes, and cryptography, 2014-10, Vol.73 (1), p.167-176
Main Authors: Liu, Xing, Peng, Daiyuan, Han, Hongyu
Format: Article
Language:English
Subjects:
Applied sciences
Circuits
Coding and Information Theory
Coding, codes
Computer Science
Cryptology
Data Structures and Information Theory
Discrete Mathematics in Computer Science
Exact sciences and technology
Information and Communication
Information, signal and communications theory
Modulation, demodulation
Radiocommunications
Signal and communications theory
Telecommunications
Telecommunications and information theory
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Summary:In order to evaluate the goodness of frequency hopping sequence (FHS) design, the periodic Hamming correlation function is used as an important measure. Usually, the length of correlation window is shorter than the period of the chosen FHS, so the study of the partial Hamming correlation of FHS is particularly important. In this paper, a class of low-hit-zone (LHZ) FHS sets with good partial Hamming correlation properties which has not yet been reported previously is constructed based on interleaving techniques. It is shown that new FHS sets are optimal with respect to the partial Hamming correlation bound of FHSs with LHZ.
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-013-9817-4