Optimal frequency-hopping sequence sets under maximum aperiodic Hamming correlation

2015 ◽  
Author(s):  
Changyuan Wang ◽  
Daiyuan Peng
Keyword(s):  
Frequency Hopping ◽  
Optimal Frequency ◽  
Frequency Hopping Sequence ◽  
Hamming Correlation

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.

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.

Set of Frequency-Hopping Sequence with Optimal Hamming Correlation

2014 ◽  
Vol 631-632 ◽  
pp. 834-838 ◽  
Author(s):  
Hong Wang ◽  
Ping Huang
Keyword(s):  
Spread Spectrum ◽  
Communication Systems ◽  
Cartesian Product ◽  
Frequency Hopping ◽  
Direct Sequence Spread Spectrum ◽  
Wireless Communication Systems ◽  
Frequency Hopping Sequence ◽  
Hamming Correlation ◽  
Optimal Average ◽  
Correlation Properties

In wireless communication systems, frequency hopping (FH) spread spectrum and direct sequence spread spectrum are two main spread coding technologies. In this paper,by the Cartesian product, we construct one class of one-coincidence frequency-hopping sequence set. It is shown that this set has optimal balance property, optimal average periodic Hamming correlation properties and optimal average periodic partial Hamming correlation properties according to the bounds.

Sign in / Sign up

Export Citation Format

Share Document