Closed-Form Performance Bounds for Stochastic Geometry-Based Cellular Networks

In this paper, we study the performance of partial-fading and Rayleigh fading wireless networks using stochastic geometry. The aim is to provide closed-form bounds for the signal-to-interference-plus-noise ratio (SINR) distribution, average Shannon rate, and outage rate. We first characterize the SI...

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Bibliographic Details
Published in:IEEE transactions on wireless communications 2017-02, Vol.16 (2), p.683-693
Main Authors: Nguyen, Hieu Duy, Sun, Sumei
Format: Article
Language:English
Subjects:
Cellular communication
Cellular networks
Closed form solutions
Exact solutions
Fading
Fifth generation (5G) systems
Geometry
Interference
Laplace transforms
Lower bounds
massive multiple-input multiple-output (MIMO)
Mathematical analysis
partial fading networks
Rayleigh channels
Signal to noise ratio
small cell densification
stochastic geometry
Stochastic processes
Wireless networks
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Summary:In this paper, we study the performance of partial-fading and Rayleigh fading wireless networks using stochastic geometry. The aim is to provide closed-form bounds for the signal-to-interference-plus-noise ratio (SINR) distribution, average Shannon rate, and outage rate. We first characterize the SINR distribution of partial-fading channels through the Laplace transform of the inverted SINR. Since most communication systems are interference limited, we also consider the case of negligible noise power, and derive the upper and lower bounds for the signal-to-interference ratio distribution under both partial fading and fading cases. These bounds are of closed forms and thus more convenient for theoretical analysis. Based on these derivations, we obtain closed-form bounds for the average Shannon and outage rates. These results are useful for investigating the fifth-generation communication systems, for example massive multi-antenna networks as described in our illustrative example.
ISSN:1536-1276
1558-2248
DOI:10.1109/TWC.2016.2626439