A new frequency-hopping sequence set based upon generalized cyclotomy

2012 ◽  
Vol 69 (2) ◽  
pp. 247-259 ◽  
Author(s):  
Fang Liu ◽  
Daiyuan Peng ◽  
Zhengchun Zhou ◽  
Xiaohu Tang
Keyword(s):  
Frequency Hopping ◽  
Generalized Cyclotomy ◽  
Frequency Hopping Sequence

NEW OPTIMAL FREQUENCY HOPPING SEQUENCE SETS FROM BALANCED NESTED DIFFERENCE PACKINGS OF PARTITION-TYPE

2013 ◽  
Vol 24 (04) ◽  
pp. 533-545 ◽  
Author(s):  
HAN CAI ◽  
XIANGYONG ZENG ◽  
XIAOHU TANG ◽  
LEI HU
Keyword(s):  
Frequency Hopping ◽  
Optimal Frequency ◽  
Generalized Cyclotomy ◽  
Frequency Hopping Sequence ◽  
Difference Packings

In this paper, we construct a new kind of balanced nested difference packings of partition-type based on generalized cyclotomy with respect to ℤpm. As an application, we propose a construction of frequency hopping sequence sets. The frequency hopping sequence sets obtained in this paper are optimal with respect to the Peng-Fan bound.

Optimal Frequency-Hopping Sequence Sets Based on Cyclotomy

2016 ◽  
Vol 27 (04) ◽  
pp. 443-462 ◽  
Author(s):  
Shanding Xu ◽  
Xiwang Cao ◽  
Guangkui Xu
Keyword(s):  
Frequency Hopping ◽  
Optimal Frequency ◽  
Generalized Cyclotomy ◽  
Basic Properties ◽  
Correlation Distribution ◽  
Cyclotomic Numbers ◽  
Frequency Hopping Sequence ◽  
Hamming Correlation

In this paper, a kind of generalized cyclotomy with respect to the square of a prime is presented and the properties of the corresponding generalized cyclotomic numbers are investigated. Based on the generalized cyclotomy, a class of frequency-hopping sequence (FHS) set is constructed. By means of some basic properties of the generalized cyclotomy, we derive the Hamming correlation distribution of the new set. The results show that the proposed FHS set is optimal with regard to the average Hamming correlation (AHC) bound. By choosing suitable parameters, the construction also leads to the optimal FHS set and the optimal FHSs with regard to the maximum Hamming correlation (MHC) bound and Lempel-Greenberger bound, respectively.

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