
A Unified Framework for SINR Analysis in Poisson Networks with Traffic Dynamics
We study the performance of wireless links for a class of Poisson networ...
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On protocol and physical interference models in Poisson wireless networks
This paper analyzes the connection between the protocol and physical int...
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Large Deviation Principle for Empirical SINR Measure of Critical Telecommunication Networks
For a marked Poisson Process, we define SignaltoInterferenceplusNoi...
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MobilityAware Analysis of 5G and B5G Cellular Networks: A Tutorial
Providing network connectivity to mobile users is a key requirement for ...
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Simple Approximations of the SIR Meta Distribution in General Cellular Networks
Compared to the standard success (coverage) probability, the meta distri...
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Transmission and navigation on disordered lattice networks, directed spanning forests and scaling limits
Stochastic networks based on random point sets as nodes have attracted c...
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Stability and Metastability of Traffic Dynamics in Uplink Random Access Networks
We characterize the stability, metastability, and the stationary regime ...
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Disordered complex networks: energy optimal lattices and persistent homology
Disordered complex networks are of fundamental interest as stochastic models for information transmission over wireless networks. Wellknown networks based on the Poisson point process model have limitations visavis network efficiency, whereas strongly correlated alternatives, such as those based on random matrix spectra (RMT), have tractability and robustness issues. In this work, we demonstrate that network models based on random perturbations of Euclidean lattices interpolate between Poisson and rigidly structured networks, and allow us to achieve the best of both worlds : significantly improve upon the Poisson model in terms of network efficacy measured by the Signal to Interference plus Noise Ratio (abbrv. SINR) and the related concept of coverage probabilities, at the same time retaining a considerable measure of mathematical and computational simplicity and robustness to erasure and noise. We investigate the optimal choice of the base lattice in this model, connecting it to the celebrated problem optimality of Euclidean lattices with respect to the Epstein Zeta function, which is in turn related to notions of lattice energy. This leads us to the choice of the triangular lattice in 2D and face centered cubic lattice in 3D. We demonstrate that the coverage probability decreases with increasing strength of perturbation, eventually converging to that of the Poisson network. In the regime of low disorder, we approximately characterize the statistical law of the coverage function. In 2D, we determine the disorder strength at which the PTL and the RMT networks are the closest measured by comparing their network topologies via a comparison of their Persistence Diagrams . We demonstrate that the PTL network at this disorder strength can be taken to be an effective substitute for the RMT network model, while at the same time offering the advantages of greater tractability.
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