On Stochastic Geometry Modeling of Cellular Uplink Transmission With Truncated Channel Inversion Power Control

Using stochastic geometry, we develop a tractable uplink modeling paradigm for outage probability and spectral efficiency in both single and multi-tier cellular wireless networks. The analysis accounts for per user equipment (UE) power control as well as the maximum power limitations for UEs. More s...

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Bibliographic Details
Published in:IEEE transactions on wireless communications Vol. 13; no. 8; pp. 4454 - 4469
Main Authors: ElSawy, Hesham, Hossain, Ekram
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.08.2014
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Analytical models
Applied sciences
Cellular
Channels
Detection, estimation, filtering, equalization, prediction
Efficiency
Equipments and installations
Exact sciences and technology
Geometry
Information, signal and communications theory
Interference
Inversions
Mobile radiocommunication systems
Outages
Power control
Radiocommunications
Signal and communications theory
Signal to noise ratio
Signal, noise
Spectra
Stochastic processes
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Thresholds
Transmission and modulation (techniques and equipments)
Uplink
Uplinking
Wideband communications
Wireless networks
truncated channel inversion
power control
Multi-tier cellular networks
uplink communication
stochastic geometry
Performance evaluation
Mobile radiocommunication
Stochastic model
Outage
Noise reduction
Base station
Wireless telecommunication
Transmission channel
Power electronics
Cell network
Modeling
Interference suppression
Power control
Telecommunication network
Signal processing
Wireless network
Uplink
ISSN:1536-1276, 1558-2248
Online Access:Get full text
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Description
Summary:Using stochastic geometry, we develop a tractable uplink modeling paradigm for outage probability and spectral efficiency in both single and multi-tier cellular wireless networks. The analysis accounts for per user equipment (UE) power control as well as the maximum power limitations for UEs. More specifically, for interference mitigation and robust uplink communication, each UE is required to control its transmit power such that the average received signal power at its serving base station (BS) is equal to a certain threshold ρ o . Due to the limited transmit power, the UEs employ a truncated channel inversion power control policy with a cutoff threshold of ρ o . We show that there exists a transfer point in the uplink system performance that depends on the following tuple: BS intensity λ, maximum transmit power of UEs P u }, and ρ o . That is, when P u is a tight operational constraint with respect to (w.r.t.) λ and ρ o , the uplink outage probability and spectral efficiency highly depend on the values of λ and ρ o . In this case, there exists an optimal cutoff threshold ρ o *, which depends on the system parameters, that minimizes the outage probability. On the other hand, when P u is not a binding operational constraint w.r.t. λ and ρ o , the uplink outage probability and spectral efficiency become independent of λ and ρ o . We obtain approximate yet accurate simple expressions for outage probability and spectral efficiency, which reduce to closed forms in some special cases.
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ISSN:1536-1276
1558-2248
DOI:10.1109/TWC.2014.2316519