Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: TOSE: A Fast Capacity Determination Algorithm Based on Random Matrix
  Theory   Wireless network capacity is one of the most important performance metrics
for wireless communication networks. Future wireless networks will be composed
of extremely large number of base stations (BSs) and users, and organized in
the form of multiple clusters. Unfortunately, the determination of average
cluster capacity for such future wireless networks is difficult, and lacks of
both analytical expressions and fast algorithms. In this paper, we propose a
fast algorithm TOSE to estimate the average cluster capacity based on the
random matrix theory (RMT). It can avoid the exact eigenvalue derivations of
large dimensional matrices, which are complicated and inevitable in
conventional capacity determination methods. Instead, fast eigenvalue
estimations can be realized based on RMT in our TOSE algorithm. In addition, we
derive the analytical upper and lower bounds of the average cluster capacity.
Our numerical experiments show that TOSE is faster than the conventional
Cholesky decomposition method, by at least three orders of magnitude. Besides,
TOSE has superior generality, since it is independent of the distributions of
BSs and users, and the shape of network areas.

13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex