Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: ETTR Bounds and Approximation Solutions of Blind Rendezvous Policies in
  Cognitive Radio Networks with Random Channel States   In this paper, we consider the multichannel rendezvous problem in cognitive
radio networks (CRNs) where the probability that two users hopping on the same
channel have a successful rendezvous is a function of channel states. The
channel states are modeled by stochastic processes with joint distributions
known to users. However, the exact state of a channel at any time is not
observable. We first consider two channel models: (i) the fast time-varying
channel model (where the channel states are assumed to be independent and
identically distributed in each time slot), and (ii) the slow time-varying
channel model (where the channel states remain unchanged over time). Among the
classes of the blind rendezvous policies that randomly hop on channels
according to certain channel selection probabilities, we show the optimal
channel selection policy that minimizes the expected time-to-rendezvous (ETTR)
is the single selection policy that hops on the ``best'' channel all the time
in the fast time-varying channel model. However, for the slow time-varying
channel model, it is much more difficult to find the optimal channel selection
policy. By using the majorization ordering, we derive a lower bound and an
upper bound for the ETTR under the assumption that the channel states are
exchangeable random variables. Bases on these bounds, we then prove various
approximation solutions. We then extend our results to general channel models
where the joint distribution of the channel states is only assumed to be
stationary in time.

13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat