An Asymptotically Optimal Channel Hopping Sequence with Maximum Rendezvous Diversity
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In the literature, there are several well-known periodic channel hopping (CH) sequences that can achieve maximum rendezvous diversity in a cognitive radio network (CRN). For a CRN with N channels, it is known that the period of such a CH sequence is at least N^2. The asymptotic approximation ratio, defined as the ratio of the period of a CH sequence to the lower bound N^2 when N →∞, is still 2.5 for the best known CH in the literature. An open question in the multichannel rendezvous problem is whether it is possible to construct a periodic CH sequence that has the asymptotic approximation ratio 1. In this letter, we solve such a question by proposing CH sequences that have the asymptotic approximation ratio 1.
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