Title :
Set of optimal frequency-hopping sequences based on polynomial theory
Author :
Han, H.Y. ; Peng, D.Y.
Author_Institution :
Inst. of Mobile Commun., Southwest Jiaotong Univ., Chengdu, China
Abstract :
A new frequency-hopping sequence (FHS) set is presented and studied. The construction of new FHSs is based on the polynomial theory over the finite field, and the new FHSs are called the power residue and the constant FHSs. It is shown that the presented FHS set is optimal with respect to the average Hamming correlation bound and it includes the known cubic and constant FHS set as a special case.
Keywords :
correlation theory; frequency hop communication; polynomials; FHS; average Hamming correlation; finite field; optimal frequency-hopping sequence; polynomial theory; power residue;
Journal_Title :
Electronics Letters
DOI :
10.1049/el.2013.3840
