Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Downlink Analysis for a Heterogeneous Cellular Network   In this paper, a comprehensive study of the the downlink performance in a
heterogeneous cellular network (or hetnet) is conducted. A general hetnet model
is considered consisting of an arbitrary number of open-access and
closed-access tier of base stations (BSs) arranged according to independent
homogeneous Poisson point processes. The BSs of each tier have a constant
transmission power, random fading coefficient with an arbitrary distribution
and arbitrary path-loss exponent of the power-law path-loss model. For such a
system, analytical characterizations for the coverage probability and average
rate at an arbitrary mobile-station (MS), and average per-tier load are derived
for both the max-SINR connectivity and nearest-BS connectivity models. Using
stochastic ordering, interesting properties and simplifications for the hetnet
downlink performance are derived by relating these two connectivity models to
the maximum instantaneous received power (MIRP) connectivity model and the
maximum biased received power (MBRP) connectivity models, respectively,
providing good insights about the hetnets and the downlink performance in these
complex networks. Furthermore, the results also demonstrate the effectiveness
and analytical tractability of the stochastic geometric approach to study the
hetnet performance.

3
The categories of this paper are: physics
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: eess
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol