Construction of Asynchronous Relaxed Difference Set of Q-Ary Maximum-Length Channel-Hopping Sequences for Cognitive Radio Wireless Networks
Jia-Xing You, Guu-Chang Yang, Wing C. Kwong · IEEE Communications Letters · 2023
In this letter, a new family of Relaxed Difference Set of Maximum-Length Channel-Hopping (RDSML-CH) sequences is constructed using$q$-ary m-sequences in an extension finite field F($p^{2s}$), where$q=p^{s}>3$for any prime$p \ge 2$and integer$s \ge 1$. They have more ways of construction and flexible choices of period than the original RDSML-CH sequences. More importantly, by applying “light-weight” RDSs with fewer consecutive elements and improved channel assignments in the matrix, the maximum-time-to-rendezvous is reduced to$4q+3$, which is much shorter than the period, a notable improvement over the original RDSML-CH and similar constructions.