New class of frequency-hopping sequences set with optimal average Hamming correlation property

Abstract

The average Hamming correlation is an important performance parameter of frequency-hopping sequences.A generalization of Whiteman cyclotomy was proposed and then some properties of the new defined cyclotomy classes were presented.Based on the generalization of Whiteman cyclotomy,new classes of frequency-hopping sequences set were constructed.The proposed frequency-hopping sequences set was shown to be optimal with respect to the average Hamming correlation bound.

Keywords

• frequency-hopping sequence;Whiteman generalized cyclotomy;average Hamming correlation bound