scholarly journals A new class of optimal wide-gap one-coincidence frequency-hopping sequence sets

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Wenli Ren ◽  
◽  
Feng Wang
Keyword(s):  
Frequency Hopping ◽  
New Class ◽  
Frequency Hopping Sequence ◽  
Wide Gap

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.

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