Paper Info
Title
Coverage and Rate Analysis in Downlink ${L}$ -Tier HetNets With Fluctuating Beckmann Fading
Abstract
The fluctuating Beckmann (FB) fading is a general fading model, and it extends the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\kappa $ </tex-math></inline-formula> - <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mu $ </tex-math></inline-formula> shadowed fading to a power imbalance scenario. However, the FB fading contains a generalized Lauricella confluent hypergeometric function, which makes the performance analysis in downlink stochastic geometry-based heterogeneous cellular networks (HetNets) face a big challenge. In this letter, we first approximate the general and complex FB fading as a Gamma distribution based on the second-order moment matching method. For the application of Laplace trick, we then propose a simple and novel Erlang distribution to approximate the Gamma distribution with non-integer parameters. Using the proposed distribution as well as the Rician approximation for a small parameter, we successfully obtain approximate expressions for the coverage probability and average rate in a downlink <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${L}$ </tex-math></inline-formula> -tier HetNet with FB fading and validate through simulations.
Year
DOI
Venue
2019
10.1109/LWC.2019.2923786
IEEE Wireless Communications Letters
Keywords
DocType
Volume
Fading channels,Gamma distribution,Stochastic processes,Downlink,Iron,Interference,Geometry
Journal
8
Issue
ISSN
Citations 
5
2162-2337
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Jingrui Chen101.35
Chaowei Yuan2379.77