Stochastic Modeling of Wireless Networks

Topics

Moving User Time Series in Wireless Stochastic Geometry

With Pranav Madadi, F. Baccelli, and G. de Veciana analyzed the temporal variations in the Shannon rate experienced by a user moving along a straight line in a cellular network represented by a Poisson-Voronoi tessellation. We consider a network that is shared by static users distributed as a Poisson point process and analyzed the time series of the final shared rate and the number of users sharing the network.  The first paper On Shared Rate Time Series for Mobile Users in Poisson Networks was focused on the noise limited case. The ongoing research is focused on the general case, with both interference and thermal noise taken into account.

Extremes of spatial shot noise processes

Anup Biswas and François Baccelli studied the scaling limit of a class of shot-noise fields defined on an independently marked stationary Poisson point process and with a power law response function. Under appropriate conditions, they showed that the shot-noise field can be scaled suitably to have a non degenerate alpha-stable limit, as the intensity of the underlying point process goes to infinity. More precisely, finite dimensional distributions  converge and the finite dimensional distributions of the limiting random field have i.i.d. stable random components. This limit is hence called the alpha- stable white noise field. Analogous results are also obtained for the extremal shot-noise field which converges to a Fréchet white noise field.

Coverage processes in wireless networks

Stochastic geometry provides a natural way of defining and computing macroscopic properties of classical channels of multiuser information theory. These macroscopic properties are obtained by some averaging over all node patterns found in a large random network of the Euclidean plane. One of the most important geometric objects are the coverage regions of a transmitter or a set of transmitters. This domain of research is jointly studied by Jeffrey Andrews, François Baccelli, Gustavo de Veciana, Robert Heath and Sanjay Shakkottai. Most of the initial steps are based on Poisson point processes. Lately, this continued with Yingzhe Li (Simons PhD student, ECE, UT Austin) to the case of determinantal point processes. Another line of work on studying cell-association problems in multi-technology cellular networks was carried out in this paper by Abishek Sankararaman, Jeong-woo Cho and François Baccelli.

 

Members

Ahmad AlAmmouri

Department of Electrical and Computer Engineering, UT Austin
alammouri@utexas.edu
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Chang-sik Choi

Department of Electrical and Computer Engineering, UT Austin
chang-sik.choi@utexas.edu
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Jae Oh Woo

Department of Mathematics and Department of Electrical and Computer Engineering, UT Austin
jaeoh.woo@utexas.edu
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Robert W. Heath Jr.

Department of Electrical and Computer Engineering, UT Austin
rheath@utexas.edu
512 686 8225
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Jeong Woo Cho, 2015

KTH, Stockholm, Sweden
jwcho@kth.se
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Jeffrey Andrews

Department of Electrical and Computer Engineering, UT Austin
jandrews@ece.utexas.edu
512 471 0536
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Junse Lee

Department of Electrical and Computer Engineering, UT Austin
junselee@utexas.edu
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Pranav Madadi

Department of Electrical and Computer Engineering, UT Austin
ee10b024@iith.ac.in
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Xinchen Zhang 2013-2014

Department of Electrical and Computer Engineering, UT Austin
xinchenzhang@gmail.com
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Abishek Sankararaman

Department of Electrical and Computer Engineering, UT Austin
abishek@utexas.edu
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Yingzhe Li

Department of Electrical and Computer Engineering, UT Austin
yzli@utexas.edu
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Gustavo de Veciana

Department of Electrical and Computer Engineering, UT Austin
gustavo@ece.utexas.edu
512 471 1573
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François Baccelli

Department of Mathematics and Deparment of Electrical and Computer Engineering, UT Austin
baccelli@math.utexas.edu
512 471 17 54
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Publications

2017-04-01_1000817

SINR and Throughput of Dense Cellular Networks with Stretched Exponential Path Loss

Ahmad AlAmmouri, Jeffrey G. Andrews, and François Baccelli Submitted to IEEE Transactions on Wireless Communications
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2016-09-18_1000754

On Shared Rate Time Series for Mobile Users in Poisson Networks

Pranav Madadi, François Baccelli, Gustavo de Veciana https://arxiv.org/abs/1609.08845
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2016-08-22_1000655

Scaling Laws for Ergodic Spectral Efficiency in MIMO Poisson Networks

Junse Lee, Namyoon Lee, Francois Baccelli Submitted to IEEE Transactions on Information Theory
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2016_1000621

Performance-Oriented Association in Large Cellular Networks with Technology Diversity

Abishek Sankararaman, Jeong-woo Cho, François Baccelli Arxiv 2016
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2016-09-25_1000612

A 3-D Spatial Model for In-building Wireless Networks with Correlated Shadowing

Junse Lee, Xinchen Zhang, Francois Baccelli Accepted to IEEE Transactions on Wireless Communications
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2014-10-28_1000283 2014-12-05_1000282

Statistical Modeling and Probabilistic Analysis of Cellular Networks with Determinantal Point Processes

Yingzhe Li, François Baccelli, Harpreet S. Dhillon and Jeffrey G. Andrews Arxiv 2014
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2014-07-16_1000167

Spatial Reuse and Fairness in Ad Hoc Networks with Channel-Aware CSMA Protocols

Yuchul Kim, François Baccelli and Gustavo de Veciana IEEE Transactions on Information Theory 60(7):4139-57, July 2014
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2015-05-28_1000151

On Scaling Limits of Power Law Shot-noise Fields

François Baccelli and Anup Biswas To appear in Stochastic Models 2015
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