Abstract

In this paper, we focus on the radio resource planning in the uplink of licensed Orthogonal Frequency Division Multiple Access (OFDMA) based Internet of Things (IoT) networks. The average behavior of the network is considered by assuming that active sensors and collectors are distributed according to independent random Poisson Point Process (PPP) marked by channel randomness. Our objective is to statistically determine the optimal total number of Radio Resources (RRs) required for a typical cell. On one hand, the allocated bandwidth should be sufficiently large to support the traffic of the devices and to guarantee a low access delay. On the other hand, the over-dimensioning is costly from an operator point of view and induces spectrum wastage. For this sake, we propose statistical tools derived from stochastic geometry to evaluate, adjust and adapt the allocated bandwidth according to the network parameters, namely the required Quality of Service (QoS) in terms of rate and access delay, the density of the active sensors, the collector intensities, the antenna configurations and the transmission modes. The optimal total number of RRs required for a typical cell is then calculated by jointly considering the constraints of low access delay, limited power per RR, target data rate and network outage probability. Different types of networks are considered including Single Input Single Output (SISO) systems, Single Input Multiple Output (SIMO) systems using antenna selection or Maximum Ratio Combiner (MRC), and Multiuser Multiple Input Multiple Output (MU-MIMO) systems using Zero-Forcing decoder.

Highlights

  • Cellular licensed Internet of Things (IoT) technology has been an emerging and evolving Low Power Wide Area (LPWA) technology which provides long range, low power and low cost connectivity for IoT devices [1]

  • We propose statistical tools derived from stochastic geometry to evaluate, adjust and adapt the allocated bandwidth according to the network parameters, namely the required Quality of Service (QoS) in terms of rate and access delay, the density of the active sensors, the collector intensities, the antenna configurations and the transmission modes

  • For the Multiuser Multiple Input Multiple Output (MU-MIMO) case with ZF decoder followed by a Maximum Ratio Combiner (MRC), the equivalent fading distribution averaged on the random noise and interference, nr − n u

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Summary

Introduction

Cellular licensed IoT technology has been an emerging and evolving Low Power Wide Area (LPWA) technology which provides long range, low power and low cost connectivity for IoT devices [1]. The randomness of the wireless channel is considered as a mark of the Poisson position and results from stochastic geometry using marked PPP as in [7,8,9,10,11,12,13,14,15,16,17,18,19] will be invoked These tools were investigated in [20,21,22,23] to compute an upper-bound on the resource outage probability in a cellular network considering random PPP marked by the random fading. This paper generalizes our previous contribution in [24] by considering MU-MIMO schemes where multiple users can be scheduled over one RR It introduces a new criterion for performing dimensioning based upon low delay access.

IoT Network Model
Proposed Statistical Dimensioning Model
Dimensioning Objectives in a Typical Cell
Average Delay and Choice of the Network Threshold
Expressions of m N and v N
Single-User Case
Multiuser Case
Distribution of the Sensor Power Consumption
Interference Laplace Transform
Average Fading Distribution
Single-User Case with Multiantenna Receiver
Antenna Selection
Multiuser with Multiantenna Receiver
Numerical Results
Accuracy of the Theoretical Model
Average and Total Number of RR
Empirical Distribution and Actual Average Delay
Tolerated Delay and Overdimensioning
Individual Sensor off Probability
Power Distribution
Conclusions
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