Title
Construction of low-hit-zone frequency hopping sequences with optimal partial Hamming correlation by interleaving techniques.
Abstract
In quasi-synchronous frequency hopping code division multiple-access systems, frequency hopping sequences (FHSs) with low-hit-zone (LHZ) are commonly employed to minimize multiple-access interferences. Usually, the length of correlation window is shorter than the period of the chosen FHSs due to the limited synchronization time or hardware complexity. Thus the study of the partial Hamming correlation properties of LHZ FHSs is of particular importance. In this paper, we prove the nonexistence of LHZ FHS sets with strictly optimal partial Hamming correlation in some conditions. In addition, employing the interleaving techniques, we present a construction of LHZ FHS sets with optimal partial Hamming correlation from m-sequences. The fundamental idea of our design is to use short individual m-sequences together with certain appropriate shift sequences to construct long LHZ FHS sets with optimal partial Hamming correlation. In particular, our construction gives new parameters not covered in the literature.
Year
DOI
Venue
2017
10.1007/s10623-016-0274-8
Des. Codes Cryptography
Keywords
Field
DocType
Frequency hopping sequences,Low-hit-zone,Partial Hamming correlation,Interleaving techniques,m,-sequence,Quasi-synchronous frequency hopping communication,94A55,94B05
Synchronization,Combinatorics,Hamming correlation,Hardware complexity,Correlation,Frequency-hopping spread spectrum,Interleaving,Mathematics
Journal
Volume
Issue
ISSN
84
3
0925-1022
Citations 
PageRank 
References 
1
0.35
29
Authors
5
Name
Order
Citations
PageRank
Hongyu Han1639.66
Daiyuan Peng241634.83
Parampalli Udaya331339.13
Zheng Ma437646.43
Hongbin Liang5255.25