Homology based algorithm for disaster recovery in wireless networks

Vergne, Anaïs; Flint, Ian; Decreusefond, Laurent; Martins, Philippe

doi:10.1109/wiopt.2014.6850366

Cited by 4 publications

(3 citation statements)

References 25 publications

(16 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…, X n . Hence, We now return to the problem of simulating the determinantal point process with kernel given by (20). As it is a projection process, it is efficiently simulated according to the basic algorithm described in Section 3.…”

Section: Truncatedmentioning

confidence: 99%

“…The resulting process is a determinantal point process of kernel (20). Its support is on the compact B a and has N points almost surely.…”

Section: Truncatedmentioning

confidence: 99%

“…To the best of our knowledge, the first use of the Ginibre point process as a model traces back to [3]. More recently, in [14,19,20], different authors have used the Ginibre point process to model phenomena arising in networking. Indeed, this particular model has many advantages with regards to applications.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A note on the simulation of the Ginibre point process

Decreusefond

Flint

Vergne

2015

Journal of Applied Probability

View full text Add to dashboard Cite

The Ginibre point process is one of the main examples of determinantal point processes on the complex plane. It forms a recurring model in stochastic matrix theory as well as in practical applications. Since its introduction in random matrix theory, the Ginibre point process has also been used to model random phenomena where repulsion is observed. In this paper, we modify the classical Ginibre point process in order to obtain a determinantal point process more suited for simulation. We also compare three different methods of simulation and discuss the most efficient one depending on the application at hand.Mathematics Subject Classification: 60G55, 65C20.

show abstract

Section: Truncatedmentioning

confidence: 99%

“…The resulting process is a determinantal point process of kernel (20). Its support is on the compact B a and has N points almost surely.…”

Section: Truncatedmentioning

confidence: 99%

See 1 more Smart Citation

A note on the simulation of the Ginibre point process

Decreusefond

Flint

Vergne

2015

Journal of Applied Probability

View full text Add to dashboard Cite

show abstract

Modeling and analysis of simultaneous information and energy transfer in Internet of Things

Liu

Natarajan

2017

Trans Emerging Tel Tech

View full text Add to dashboard Cite

The Internet of Things (IoT) will allow unprecedented connectivity among devices and is predicted to make our world smarter. However, due to battery constraints, energy efficiency of IoT with numerous smart devices is a key challenge. Simultaneous information and energy transfer (SIET) is a promising method to provide green energy for energy-constrained wireless networks. This paper, for the first time, investigates the modeling and analysis of SIET in a network where IoT nodes are powered via IoT gateways. Specifically, a Ginibre point process that captures the repulsion between spatially distributed nodes is used to model the IoT gateway network. The goal of our work is to uncover a strategy to balance the trade-off between power outage probability and transmission outage probability by a careful design of the power split ratio of SIET. To achieve that, we derive closed-form expressions for these 2 probabilities in IoT for a practical case. The simulation results verify our theoretical results and illustrate the effects of different network parameters (eg, transmit power and density of gateways and signal-to-interference-plus-noise ratio threshold) on SIET.

show abstract

Topology, Big Data and Optimization

Vejdemo-Johansson

Škraba

2016

Studies in Big Data

View full text Add to dashboard Cite

Homology based algorithm for disaster recovery in wireless networks

Cited by 4 publications

References 25 publications

A note on the simulation of the Ginibre point process

A note on the simulation of the Ginibre point process

Modeling and analysis of simultaneous information and energy transfer in Internet of Things

Topology, Big Data and Optimization

Contact Info

Product

Resources

About