Construction of optimal frequency hopping sequence sets with no-hit zone based on matrix permutation

2013 ◽  
Vol 33 (11) ◽  
pp. 3028-3031
Author(s):  
Haoyuan CHEN ◽  
Pinhui KE ◽  
Shengyuan ZHANG
Keyword(s):  
Frequency Hopping ◽  
Optimal Frequency ◽  
Matrix Permutation ◽  
Frequency Hopping Sequence

New Constructions of Optimal Frequency-Hopping Sequence Sets with Low-Hit-Zone

2016 ◽  
Vol 27 (01) ◽  
pp. 53-66 ◽  
Author(s):  
Changyuan Wang ◽  
Daiyuan Peng ◽  
Limengnan Zhou
Keyword(s):  
Multiple Access ◽  
Chinese Remainder Theorem ◽  
Discrete Logarithm ◽  
Multiple Access Interference ◽  
Frequency Hopping ◽  
Optimal Frequency ◽  
Frequency Hopping Sequence ◽  
Low Hit Zone ◽  
Logarithm Function

The frequency-hopping sequence set with low-hit-zone (LHZ FHS set) is useful for eliminating multiple-access interference in quasi-synchronous frequency-hopping multiple access systems. In this paper, basing on Cyclotomy, the discrete logarithm function and the Chinese remainder theorem, we construct two classes of LHZ FHS sets which have new parameters not covered in the literature. It is proved that proposed LHZ FHS sets are optimal respectively with respect to the Peng-Fan-Lee bounds.

Two classes of near-optimal frequency-hopping sequence sets with prime-power period

2017 ◽  
Vol 10 (3) ◽  
pp. 437-454
Author(s):  
Shanding Xu ◽  
Xiwang Cao ◽  
Guangkui Xu ◽  
Gaojun Luo
Keyword(s):  
Prime Power ◽  
Frequency Hopping ◽  
Optimal Frequency ◽  
Frequency Hopping Sequence

An Optimal Frequency Hopping Sequence Set Based on the Polynomial Theory

2014 ◽  
Vol 490-491 ◽  
pp. 872-878
Author(s):  
Lian Wang ◽  
Min Liu
Keyword(s):  
Frequency Hopping ◽  
Optimal Frequency ◽  
New Class ◽  
Singleton Bound ◽  
Frequency Hopping Sequence ◽  
Optimal Polynomial ◽  
Hamming Correlation ◽  
Polynomial Theory

A new class of cubic frequency hopping (FH) sequence set is proposed in this paper. The new cubic FH sequence set is proved to be optimal with respect to the average Hamming correlation bound. Furthermore an optimal FH sequence set based on polynomial theory that is optimal with respect to the Singleton bound on FH sequences is also constructed. In addition, the average Hamming correlation of the optimal polynomial frequency hopping sequence set is discussed in this paper. The analysis result shows that the new polynomial FH sequence set is also optimal with respect to the average Hamming correlation bound.

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.

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