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• W2891237627 abstract "In this paper, we propose a fast rendezvous algorithm for a heterogeneous cognitive radio network (CRN), where each user might have more than one radio. One of the well-known problems for most multiradio rendezvous algorithms in the literature is that they are not backward compatible to users with only <italic xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>one</i> radio. To tackle this backward compatibility problem, our approach is a hierarchical construction that groups several time slots into an interval and proposes a novel algorithm to emulate two radios with a single radio in an interval. By doing so, at the interval level, each user behaves as if it had (at least) two radios. For the two-user rendezvous problem in a CRN with <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${N}$ </tex-math></inline-formula> commonly labelled channels, the interval length is chosen to be <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${M}$ </tex-math></inline-formula> time slots, where <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${M=2lceil text {log}_{2} (lceil text {log}_{2} N rceil)rceil +7}$ </tex-math></inline-formula> . We show that the maximum time-to-rendezvous (MTTR) of our algorithm is bounded above by <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${9 M lceil n_{1}/m_{1} rceil cdot lceil n_{2}/m_{2} rceil }$ </tex-math></inline-formula> time slots, where <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${n_{1}}$ </tex-math></inline-formula> (resp. <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${n_{2}}$ </tex-math></inline-formula> ) is the number of available channels to user 1 (resp. 2), and <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${m_{1}}$ </tex-math></inline-formula> (resp. <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${m_{2}}$ </tex-math></inline-formula> ) is the number of radios for user 1 (resp. 2). For the setting that each user is equipped with only one radio and two available channels, our MTTR bound is only <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>${M}$ </tex-math></inline-formula> and that improves the state-of-the-art bound <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$16(lceil log _{2} log _{2} N rceil +1)$ </tex-math></inline-formula> in the literature. By conducting extensive simulations, we show that for the expected time-to-rendezvous, our algorithm is also better than several existing multiradio algorithms." @default.
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• W2891237627 date "2018-12-01" @default.
• W2891237627 modified "2023-10-12" @default.
• W2891237627 title "An Enhanced Fast Multi-Radio Rendezvous Algorithm in Heterogeneous Cognitive Radio Networks" @default.
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• W2891237627 doi "https://doi.org/10.1109/tccn.2018.2871208" @default.
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