Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Results on Finite Wireless Sensor Networks: Connectivity and Coverage   Many analytic results for the connectivity, coverage, and capacity of
wireless networks have been reported for the case where the number of nodes,
$n$, tends to infinity (large-scale networks). The majority of these results
have not been extended for small or moderate values of $n$; whereas in many
practical networks, $n$ is not very large. In this paper, we consider finite
(small-scale) wireless sensor networks. We first show that previous asymptotic
results provide poor approximations for such networks. We provide a set of
differences between small-scale and large-scale analysis and propose a
methodology for analysis of finite sensor networks. Furthermore, we consider
two models for such networks: unreliable sensor grids, and sensor networks with
random node deployment. We provide easily computable expressions for bounds on
the coverage and connectivity of these networks. With validation from
simulations, we show that the derived analytic expressions give very good
estimates of such quantities for finite sensor networks. Our investigation
confirms the fact that small-scale networks possesses unique characteristics
different from the large-scale counterparts, necessitating the development of a
new framework for their analysis and design.

8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th